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JEE Electric Current in Conductors PYQs with Solutions

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

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About Electric Current in Conductors PYQs

Electric Current in Conductors has 138 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 138 questions in this list come from Concepts Of Physics MCQ Edition [Volume 2] (138). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Electric Current in Conductors questions with solutions

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 .

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2

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

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3

The current flowing through a wire varies with time according to i = i_0 + α t , where i_0 = 10 A and α = 4 A s^ -1 . Determine the charge that crosses a section of the wire in 10

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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

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5

An electron gun releases 2.0 × 10^ 16 electrons per second. Determine the electric current this corresponds to.

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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

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7

A uniform wire having a resistance of 100 Ω 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?

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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 kΩ . The resistivity of copper is given as 1.7 × 10^ -8 Ω m .

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9

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

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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 10^ 29 free electrons per cubic metre, determine the average time

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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

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12

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

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13

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

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14

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 Ω m .

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15

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

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16

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

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17

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

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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

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19

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 Ω drops to 5.8 V .

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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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21

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

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22

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

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23

Calculate the value of the ratio i_1/i_2 for the circuits shown in the figure, provided that the external resistance is R = 10 Ω .

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24

Calculate the value of the ratio i_1/i_2 for the circuits shown in the figure, provided that the external resistance is R = 10 Ω .

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25

Consider N = n_1 n_2 identical cells, each having an emf E and an internal resistance r . Assume n_1 cells are connected in series to form a line, and n_2 such lines are connected

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26

Calculate the value of the ratio i_1/i_2 for the circuits shown in the figure, provided that the external resistance is R = 10 Ω .

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27

Consider N = n_1 n_2 identical cells, each having an emf E and an internal resistance r . Assume n_1 cells are connected in series to form a line, and n_2 such lines are connected

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28

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

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29

In the provided circuit diagram, ammeter A_1 shows a reading of 2.4 A . Ignoring the resistances of the ammeters, determine what ammeters A_2 and A_3 will read.

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30

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

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31

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

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32

Three bulbs, each with a resistance of 180 Ω , 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

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33

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

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34

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

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35

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

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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

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37

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

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38

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

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39

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

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40

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

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41

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

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42

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

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43

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

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44

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

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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

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46

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

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47

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

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48

Consider the circuit shown in the figure, where E _1 = 3 V , E _2 = 2 V , E _3 = 1 V and r_1 = r_2 = r_3 = 1 \ Ω . Determine the potential difference between points A and B , as

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49

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

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50

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

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51

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

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52

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

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53

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

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54

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

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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

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56

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

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57

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

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58

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

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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 Ω . The external resistance R is 50 Ω . The

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60

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

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61

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

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62

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

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63

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

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64

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

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65

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

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66

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

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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?

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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 .

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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

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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

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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

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72

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

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73

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

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74

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

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75

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

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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 kΩ . Determine the time

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84

A 10 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 . Determine the resistance of the circuit.

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85

Through a resistance of 100 Ω , a 20 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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86

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

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87

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

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88

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

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89

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

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90

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

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91

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

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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 Ω resistor.

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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

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94

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

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95

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

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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.

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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?

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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.

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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?

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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

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101

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

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102

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

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103

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

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104

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

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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

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106

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

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107

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

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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

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109

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\ Ω resistor at t = 1.0\ ms .

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110

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

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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 C_1 as a function of time t

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112

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 .

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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

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114

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

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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 .

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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

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117

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

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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

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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

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120

An ammeter must have a small net resistance to ensure that

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