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Electric Current in Conductors — JEE Main & Advanced Physics PYQs

138 previous year questions from Electric Current in Conductors with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

The amount of charge passing through a cross-section of a wire in time t is given by Q(t) = At^2 + Bt + C . Determine the dimensional formulae for A , B , and C .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 2

A discharge tube carries an electric current of 2.0 A . Determine the amount of charge that passes through a cross-section of the tube in 5 minutes.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 3

The current flowing through a wire varies with time according to i = i₀ + t , where i₀ = 10 A and = 4 A s ⁻¹ . Determine the charge that crosses a section of the wire in 10 seconds

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 4

A copper wire with a cross-section of 1.0 mm ^2 carries a current of 1.0 A . Determine the drift speed of the free electrons in the wire, assuming there is one free electron per at

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 5

An electron gun releases 2.0 10¹⁶ electrons per second. Determine the electric current this corresponds to.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 6

The amount of charge passing through a cross-section of a wire in time t is Q(t) = At^2 + Bt + C . Assuming the numerical values of A , B , and C in SI units are 5 , 3 , and 1 resp

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 7

A uniform wire having a resistance of 100 is melted and recast into a new wire whose length is double that of the original. What will be the resistance of the new wire?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 8

Determine the required length of a copper wire having a cross-sectional area of 0.01 mm ^2 to produce a resistance of 1 k . The resistivity of copper is given as 1.7 10⁻⁸ m .

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A wire with a length of 1 m and a radius of 0.1 mm possesses a resistance of 100 . Determine the resistivity of the material.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 10

A wire of length 4 m and cross-sectional area 1 mm ^2 carries a current of 2 A . Given that the material holds 10²⁹ free electrons per cubic metre, determine the average time requi

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 11

Consider a conductor of length l with a circular cross section, as depicted in the figure. The cross-sectional radius changes linearly from a to b . The material has a resistivity

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 12

A power supply of 20 V is connected across a copper wire having a resistance of 1 k and a radius of 0.1 mm . Determine the number of electrons transferred per second between the su

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 13

A copper wire with a radius of 0.1 mm and a resistance of 1 k is connected across a 20 V power supply. Determine the current density in the wire.

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Determine the electric field within a copper wire that has a cross-sectional area of 2.0 mm ^2 and carries a current of 1 A . The resistivity of copper is 1.7 10⁻⁸ m .

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A wire of length 2.0 m has a resistance of 5.0 . Determine the electric field present inside the wire when a current of 10 A flows through it.

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At 20^ C , an iron wire and a copper wire have resistances of 3.9 and 4.1 , respectively. Determine the temperature at which their resistances become equal. The temperature coeffic

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An ammeter and a voltmeter are used to measure the current in a conductor and the potential difference across its terminals. Both meters draw negligible currents. The ammeter is pe

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 18

An arrangement designed to measure the emf E and internal resistance r of a battery is depicted in the figure. The voltmeter possesses a very high resistance, whereas the ammeter h

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When connected across an external resistor, the potential difference between the terminals of a battery having an emf of 6.0 V and an internal resistance of 1 drops to 5.8 V . Dete

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 20

When a 6.0 V battery is being charged by a current of 2.0 A , the potential difference across its terminals is 7.2 V . Determine the internal resistance of the battery.

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When fully discharged, an accumulator battery of emf 6 V possesses an internal resistance of 10 . During the charging process, its internal resistance drops to 1 . The battery, sta

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 22

When fully discharged, an accumulator battery of emf 6 V possesses an internal resistance of 10 . During the charging process, its internal resistance drops to 1 . The battery, sta

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 23

Calculate the value of the ratio i₁/i₂ for the circuits shown in the figure, provided that the external resistance is R = 10 .

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Calculate the value of the ratio i₁/i₂ for the circuits shown in the figure, provided that the external resistance is R = 10 .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 25

Consider N = n₁ n₂ identical cells, each having an emf E and an internal resistance r . Assume n₁ cells are connected in series to form a line, and n₂ such lines are connected in p

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 26

Calculate the value of the ratio i₁/i₂ for the circuits shown in the figure, provided that the external resistance is R = 10 .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 27

Consider N = n₁ n₂ identical cells, each having an emf E and an internal resistance r . Assume n₁ cells are connected in series to form a line, and n₂ such lines are connected in p

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 28

A battery with an emf of 100 V and a resistor having a resistance of 10 k are connected in series. This arrangement serves as a source to deliver current to an external resistance

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 29

In the provided circuit diagram, ammeter A₁ shows a reading of 2.4 A . Ignoring the resistances of the ammeters, determine what ammeters A₂ and A₃ will read.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 30

In the circuit shown in the figure, the rheostat has a resistance of 30 . Assuming the resistance of the ammeter is negligible, calculate the minimum and maximum currents passing t

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 31

Three bulbs, each with a resistance of 180 , are connected in parallel to an ideal battery of emf 60 V . Determine the current delivered by the battery when all the bulbs are switc

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Three bulbs, each with a resistance of 180 , are connected in parallel to an ideal battery of emf 60 V . Determine the current delivered by the battery when two of the bulbs are sw

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 33

Three bulbs, each with a resistance of 180 , are connected in parallel to an ideal battery of emf 60 V . Determine the current delivered by the battery when only one bulb is switch

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Suppose you possess three resistors of 20 , 50 and 100 . What minimum and maximum resistances can be obtained from these resistors?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 35

A portion of a circuit is illustrated in the figure. If there is a current of 12 mA in the 5 k resistor, determine the currents in the remaining three resistors and the potential d

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 36

A bulb is constructed using two filaments. A switch allows the filaments to be used either individually or in parallel. When connected to a 15 V battery, the bulb can operate at 5

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 37

An ideal battery drives a current of 5 A through a resistor. After a second resistor of 10 is connected in parallel with it, the current drawn from the battery increases to 6 A . D

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 38

Determine the equivalent resistance between points a and b for the network illustrated in the figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 39

A wire of resistance 15.0 is bent to form a regular hexagon ABCDEFA . Determine the equivalent resistance of the loop between points A and B .

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A wire possessing a resistance of 15.0 is bent into a regular hexagon ABCDEFA . Find the equivalent resistance of the loop between points A and C .

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A wire with a resistance of 15.0 is formed into a regular hexagon ABCDEFA . Calculate the equivalent resistance of the loop between points A and D .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 42

For the circuit shown in the figure, determine the current through the 10 resistor when the switch S is open.

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A circuit contains a 3 V battery connected in series with a 10 resistor and a 20 resistor. A switch S is connected in parallel across the 20 resistor. Determine the current through

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 44

Determine the currents flowing through the three resistors depicted in the diagram.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 45

A portion of an electric circuit is depicted in the figure. The electric potentials at points a , b , and c are given as 30 V , 12 V , and 2 V , respectively. Determine the current

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 46

Every resistor depicted in the figure possesses a resistance of 10 , and each battery provides an emf of 10 V . Determine the currents passing through resistors a and b in both cir

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 47

Determine the potential difference V_a - V_b for the electrical circuits presented in the figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 48

Consider the circuit shown in the figure, where E ₁ = 3 V , E ₂ = 2 V , E ₃ = 1 V and r₁ = r₂ = r₃ = 1 . Determine the potential difference between points A and B , as well as the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 49

Determine the current passing through the 10 resistor in the circuit displayed in the figure.

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Determine the current in the three resistors depicted in the figure.

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Determine the value of R in the figure such that the current flowing through it is zero.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 52

Determine the equivalent resistance between the points a and b for the circuits displayed in the figure. Every resistor has a resistance r .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 53

Determine the current recorded by the ammeter for the circuit depicted in the figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 54

Consider the circuit displayed in figure (a). Determine the current in the circuit, the potential drop across the 5 resistor, and the potential drop across the 10 resistor. Additio

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 55

Twelve wires, each with an equal resistance r , are connected to form a cube as shown in the figure. Calculate the equivalent resistance between the diagonally opposite points a an

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 56

Determine the equivalent resistances between the points a and b for the networks depicted in the given figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 57

Consider an infinite ladder constructed using 1 and 2 resistors, as shown in the figure. Determine the effective resistance between points A and B .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 58

An infinite ladder is constructed with 1 and 2 resistors. It consists of repeating sections, each containing a 1 resistor in the top branch and a 2 resistor connecting the top and

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 59

In the circuit depicted in the figure, the battery has an electromotive force E of 4.3 V and an internal resistance r of 1.0 . The external resistance R is 50 . The resistances of

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 60

The electromotive force E and the internal resistance r of a battery are 4.3 V and 1.0 respectively. The external resistance R is 50 . The resistances of the ammeter and voltmeter

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 61

To measure the potential difference across the 100 resistor in the circuit shown in the figure, a voltmeter of resistance 400 is utilized. Determine the reading of the voltmeter.

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A voltmeter of resistance 400 is utilized to measure the potential difference across a 100 resistor in a circuit consisting of an 84 V battery connected in series with the 100 resi

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 63

The voltmeter depicted in the figure measures a potential difference of 18 V across the 50 resistor. Determine the resistance of the voltmeter.

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A voltmeter is constructed from a 25 coil connected in series with a 575 resistor. If the coil requires 10 mA for full scale deflection, determine the maximum potential difference

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 65

An ammeter needs to be built to measure currents up to 2.0 A . If the coil has a resistance of 25 and requires 1 mA for full-scale deflection, determine the required resistance of

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 66

A voltmeter coil possesses a resistance of 50.0 and is connected in series with a 1.15 k resistor. It is capable of reading potential differences up to 12 V . If the identical coil

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 67

In the figure, the potentiometer wire AB is 40 cm long. Where must the free end of the galvanometer be connected on AB for the galvanometer to show zero deflection?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 68

As illustrated in the figure, the potentiometer wire AB has a total length of 50 cm . If the galvanometer shows zero deflection at AD = 30 cm , calculate the value of R .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 69

A 6 -volt battery with negligible internal resistance is connected across a uniform wire AB of length 100 cm . As shown in the figure, the positive terminal of another battery havi

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 70

Examine the potentiometer circuit arranged as shown in the figure. The potentiometer wire has a length of 600 cm . Determine the distance from point A where the jockey must touch t

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 71

Consider a potentiometer circuit where the primary loop contains a battery of emf E and internal resistance r connected across a potentiometer wire of resistance 15r and length 600

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 72

Determine the charge on the capacitor depicted in the accompanying figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 73

Determine the current in the 20 resistor for the circuit shown in the figure.

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For the circuit shown in the related figure, if a capacitor having a capacitance of 4 F is connected between the points A and B , determine the electrostatic energy stored in it du

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 75

Determine the charges on the four capacitors having capacitances 1 F , 2 F , 3 F , and 4 F as shown in the figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 76

Determine the potential difference between points A and B , and between points B and C , for the circuit shown in the figure in steady state.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 77

At t = 0 , a capacitance C , a resistance R , and an emf E are connected in series. Determine the maximum value of the potential difference across the resistor.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 78

At t = 0 , a capacitance C , a resistance R , and an emf E are connected in series. Determine the maximum value of the current in the circuit.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 79

At t = 0 , a capacitance C , a resistance R , and an emf E are connected in series. Determine the maximum value of the potential difference across the capacitor.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 80

At t = 0 , a capacitance C , a resistance R , and an emf E are connected in series. Determine the maximum value of the energy stored in the capacitor.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 81

At t = 0 , a capacitance C , a resistance R , and an emf E are connected in series. Determine the maximum value of the power delivered by the battery.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 82

At t = 0 , a capacitance C , a resistance R , and an emf E are connected in series. Determine the maximum value of the power converted into heat.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 83

A parallel-plate capacitor having a plate area of 20 cm ^2 and a plate separation of 1.0 mm is connected to a battery. The circuit has a resistance of 10 k . Determine the time con

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 84

A 10 F capacitor is connected to a battery with an emf of 2 V . It takes 50 ms for the charge on the capacitor to reach 12.6 C . Determine the resistance of the circuit.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 85

Through a resistance of 100 , a 20 F capacitor is connected to a battery with an emf of 6.0 V . Determine the charge on the capacitor 2.0 ms after making the connections.

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At t = 0 , the plates of a capacitor of capacitance 10 ext F , charged to 60 ext C , are connected together by a wire having a resistance of 10 ext . Determine the charge on the ca

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 87

At t = 0 , the plates of a capacitor of capacitance 10 ext F , charged to 60 ext C , are connected together by a wire having a resistance of 10 ext . Determine the charge on the ca

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At t = 0 , the plates of a capacitor of capacitance 10 ext F , charged to 60 ext C , are connected together by a wire having a resistance of 10 ext . Determine the charge on the ca

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 89

At t = 0 , the plates of a capacitor of capacitance 10 ext F , charged to 60 ext C , are connected together by a wire having a resistance of 10 ext . Determine the charge on the ca

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 90

A capacitor with a capacitance of 8.0 F is wired to a battery of emf 6.0 V via a resistance of 24 . Determine the current in the circuit immediately after the connections are made.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 91

A capacitor with a capacitance of 8.0 F is wired to a battery of emf 6.0 V via a resistance of 24 . Determine the current in the circuit exactly one time constant after the connect

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 92

A parallel-plate capacitor having a plate area of 40 cm ^2 and a separation of 0.10 mm between the plates is connected to a battery with an emf of 2.0 V through a 16 resistor. Dete

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 93

A parallel-plate capacitor features a plate area of 20 cm ^2 , a plate separation of 1.0 mm , and a dielectric slab with a dielectric constant of 5.0 filling the space between the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 94

A 100 F capacitor is joined to a 24 V battery via a 1.0 M resistor. Which of the following best describes the qualitative graph between current and time for the first 10 minutes?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 95

A 100 F capacitor is joined to a 24 V battery via a 1.0 M resistor. Which of the following best describes the qualitative graph between charge and time for the first 10 minutes?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 96

How many time constants will elapse before the current in a charging RC circuit decreases to half of its initial value? Answer the same question for a discharging RC circuit.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 97

In a discharging RC circuit, how many time constants must elapse for the charge on a capacitor to decrease to 0.1 % of its maximum value?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 98

In a charging RC circuit, determine the number of time constants that will elapse before the energy stored in the capacitor attains half of its equilibrium value.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 99

In an RC circuit, how many time constants must elapse before the power delivered by the battery decreases to half of its maximum value?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 100

At t = 0 , a capacitor having capacitance C is connected through a resistance R to a battery of emf E . Determine the maximum rate of energy storage in the capacitor, and find the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 101

Through resistanceless leads, a capacitor of capacitance 12.0 F is connected to a battery of emf 6.00 V and internal resistance 1.00 . Determine the current in the circuit 12.0 s a

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 102

Through resistanceless leads, a capacitor of capacitance 12.0 F is connected to a battery of emf 6.00 V and internal resistance 1.00 . Determine the power delivered by the battery

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 103

Through resistanceless leads, a capacitor of capacitance 12.0 F is connected to a battery of emf 6.00 V and internal resistance 1.00 . Determine the power dissipated as heat 12.0 s

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 104

Through resistanceless leads, a capacitor of capacitance 12.0 F is connected to a battery of emf 6.00 V and internal resistance 1.00 . Determine the rate at which the energy stored

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 105

A capacitance C charged to a potential difference V is discharged by connecting its plates across a resistance R . Determine the heat dissipated during one time constant after the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 106

A parallel-plate capacitor is filled with a dielectric material having resistivity and dielectric constant K . The capacitor is charged and disconnected from the charging source. I

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 107

Determine the charge on each capacitor 0.20 ms after closing switch S , as shown in the figure.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 108

By evaluating i^2 R , dt , determine how the energy dissipated as heat relates to the energy stored in the capacitor when it is charged by connecting it to a battery via a resistor

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The switch S illustrated in the figure is kept closed for a long duration and is subsequently opened at t = 0 . Determine the current in the middle 10 resistor at t = 1.0 ms .

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A capacitor with a capacitance of 100 F is connected for 4.0 s across a 6.0 V battery through a 20 k resistance. Following this, the battery is replaced by a thick wire. Determine

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 111

In the circuit depicted in the figure, the capacitors are initially uncharged. If the switch is closed at t = 0 , determine the charge on the capacitor C₁ as a function of time t .

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A capacitor having capacitance C is given an initial charge Q . At time t = 0 , it is connected across an uncharged capacitor of the same capacitance via a resistance R . Determine

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 113

A capacitor having capacitance C is initially provided with a charge Q . At t = 0 , it is linked to an ideal battery of emf E via a resistance R . Determine the charge on the capac

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Suppose a metallic resistor is connected across a battery. If the number of collisions of the free electrons with the lattice in the resistor is somehow reduced (for instance, by c

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 115

Two resistors, labeled A and B , have resistances R_A and R_B respectively, where R_A < R_B . The materials of these resistors have resistivities ho_A and ho_B .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 116

In an electric circuit, two resistances R and 2R are wired in parallel. The ratio of the thermal energy developed in R to that in 2R is

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 117

A uniform wire with a resistance of 50 ext is cut into 5 equal parts. These parts are subsequently connected in parallel. Determine the equivalent resistance of the combination.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 118

Two nonideal batteries are connected in series. Evaluate the following statements: (A) The equivalent emf is greater than either of the two emfs. (B) The equivalent internal resist

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 119

Two nonideal batteries are wired in parallel. Evaluate the following statements: (A) The equivalent emf is smaller than either of the individual emfs. (B) The equivalent internal r

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 120

An ammeter must have a small net resistance to ensure that

Concepts Of Physics MCQ Edition [Volume 2] Solution View →
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