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Current Electricity — JEE Main & Advanced Physics PYQs

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

742 questionsPhysicsSolutions on every page
1

A metal wire of cross-sectional area 0.5 mm ^2 and length 100 m is connected across a battery of e.m.f. 2 V and internal resistance 1 . The density, atomic mass and electrical cond

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2

As shown in the figure, the resistance of a galvanometer G can be found by the half-deflection method. Here the resistance R₂ is adjusted such that when the key K is closed the def

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3

The stored charge in the capacitor in steady state of the following circuit is ________ C.

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4

A moving coil of galvanometer when shunted with 2 , resistance gives a full scale deflection for a current of 500 mA. When a resistance of 470 , is connected in series it gives a f

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5

Two cells of emfs 1 V and 2 V and internal resistance 2 , and 1 , , respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one

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6

Refer to the circuit diagram given below. The heat generated across the 6 , resistance in 100 second is 100 J. The value of is _______. (Nearest integer)

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7

In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A , respectively. The least counts of voltm

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8

Under steady state condition the potential difference across the capacitor in the circuit is _______ V.

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9

When an external resistance of 5 is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 resistor is replaced by a 2 resistor, a current of 0.5 A

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10

Refer to the figure given below. The values of I₁ , I₂ and I₃ are __________.

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11

Refer to the figure given below, current between terminals A and B is _____ A.

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12

A voltmeter with internal resistance of x can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to _____.

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13

The voltage and the current between A and B points shown in the circuit are _____.

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14

Two resistors of 200 , and 400 , are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the 400 , resistance. The potential drop across t

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15

Which one of the following is not a measurable quantity?

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16

A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances (R₁=R₂=R₃=R₄ ) . When R₃ resistance is heated to some temperature, it

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17

For the two cells having same EMF E and internal resistance r , the current passing through the external resistor 6 is same when both the cells are connected either in parallel or

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18

In the potentiometer, when the cell in the secondary circuit is shunted with 4 resistance, the balance is obtained at the length 120 cm of wire. Now when the same cell is shunted w

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19

The equivalent resistance between the points A and B in the following circuit is x 5 . The value of x is _ _ _ _ .

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20

The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is _ _ _ _ A.

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21

A moving coil galvanometer of resistance 100 shows a full scale deflection for a current of 1 mA. The value of resistance required to convert this galvanometer into an ammeter, sho

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22

A regular hexagon is formed by six wires each of resistance r and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves a

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23

In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2 and 3 are connected in the left and right gaps of the bridge and the null point i

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24

Two resistors 2 and 3 are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire X Y . When an unknown resi

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25

Two resistors of 100 each are connected in series with a 9 V battery. A voltmeter of 400 resistance is connected to measure the voltage drop across one of the resistors. The voltme

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26

To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm. The least count of scale is 1 cm. The percentage error in the ratio of EMFs is

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27

A wire of uniform resistance / m is bent into a circle of radius r and another piece of wire with length 2 r is connected between points A and B(A O B) as shown in figure. The equi

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28

An electric power line having total resistance of 2 , delivers 1 kW of power at 250 V. The percentage efficiency of transmission line is _ _ _ _ .

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29

A cylindrical conductor of length 2 m and area of cross-section 0.2 ~mm ² carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons i

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30

A meter bridge with two resistances R₁ and R₂ as shown in figure was balanced (null point) at 40 cm from the point P . The null point changed to 50 cm from the point P , when 16 re

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31

Two known resistances of R and 2 R and one unknown resistance X are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circui

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32

The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If P is the point where the galvanometer shows zero reading then the length A P is _ _ _ _

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33

A battery with EMF E and internal resistance r is connected across a resistance R . The power consumption in R will be maximum when :

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34

The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9 V with internal resistance of 1 is connected across these points is _ _ _ _ J.

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35

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is R / n . The value of n is

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36

From the combination of resistors with resistance values R₁=R₂=R₃=5 and R₄=10 , which of the following combination is the best circuit to get an equivalent resistance of 6 ?

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37

There are ' n ' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across the main supply. Th

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38

Current passing through a wire as function of time is given as I ( t )=0.02 t +0.01 ~A . The charge that will flow through the wire from t=1 s to t=2 s is :

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39

A motor operating on 100 V draws a current of 1 A. If the efficiency of the motor is 91.6 % , then the loss of power in units of cal / s is

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40

Two cells of emf 1 V and 2 V and internal resistance 2 and 1 , respectively, are connected in series with an external resistance of 6 . The total current in the circuit is I ₁ . No

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41

A wire of length 25 m and cross-sectional area 5 ~mm ^2 having resistivity of 2 10⁻⁶ ~m is bent into a complete circle. The resistance between diametrically opposite points will be

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42

In the figure shown below, a resistance of 150.4 is connected in series to an ammeter A of resistance 240 . A shunt resistance of 10 is connected in parallel with the ammeter. The

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43

The battery of a mobile phone is rated as 4.2 V , 5800 mAh. How much energy is stored in it when fully charged ?

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44

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have

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45

The value of current I in the electrical circuit as given below, when potential at A is equal to the potential at B, will be ____ A.

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46

A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triang

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47

Find the equivalent resistance between two ends of the following circuit

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48

A wire of resistance 9 is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _____ ohm.

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49

A galvanometer having a coil of resistance 30 need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance

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50

What is the current through the battery in the circuit shown below

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51

The net current flowing in the given circuit is_______ A.

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52

Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equival

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53

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance R_p=1 as shown in the figure. An external resistance of R_e=2 is connected via the s

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54

Which of the following resistivity ( ) v / s temperature (T) curves is most suitable to be used in wire bound standard resistors?

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55

The effective resistance between A and B , if resistance of each resistor is R , will be

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56

To determine the resistance (R) of a wire, a circuit is designed below. The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown

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57

A galvanmeter has a coil of resistance 200 with a full scale deflection at 20 A . The value of resistance to be added to use it as an ammeter of range (0-20) mA is ;

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58

The equivalent resistance between A and B is :

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59

The current flowing through the 1 resistor is n 10 A. The value of n is _________

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60

Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be _____ to _____ times of its initial

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61

A heater is designed to operate with a power of 1000 ~W in a 100 ~V line. It is connected in combination with a resistance of 10 and a resistance R , to a 100 ~V mains as shown in

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62

In the given circuit, the terminal potential difference of the cell is :

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63

Resistance of a wire at 0^ C , 100^ C and t^ C is found to be 10 , 10.2 and 10.95 respectively. The temperature t in Kelvin scale is _________

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64

The number of electrons flowing per second in the filament of a 110 ~W bulb operating at 220 ~V is : ( . Given . e =1.6 10⁻¹⁹ C )

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65

In the given figure an ammeter A consists of a 240 coil connected in parallel to a 10 shunt. The reading of the ammeter is mA

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66

The value of unknown resistance (x) for which the potential difference between B and D will be zero in the arrangement shown, is :

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67

A wire of resistance R and radius r is stretched till its radius became r / 2 . If new resistance of the stretched wire is x R , then value of x is _______

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68

A galvanometer of resistance 100 when connected in series with 400 measures a voltage of upto 10 ~V . The value of resistance required to convert the galvanometer into ammeter to r

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69

The ratio of heat dissipated per second through the resistance 5 and 10 in the circuit given below is :

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70

A wire of resistance 20 is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination

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71

In the given figure R ₁=10 , R ₂=8 , R ₃=4 and R ₄=8 . Battery is ideal with emf 12 ~V . Equivalent resistant of the circuit and current supplied by battery are respectively :

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72

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of 1 / vs the resistance ( R ) of the resistance box is shown in the figure. The figu

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73

An electric bulb rated 50 ~W -200 ~V is connected across a 100 ~V supply. The power dissipation of the bulb is:

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74

Two wires A and B are made up of the same material and have the same mass. Wire A has radius of 2.0 ~mm and wire B has radius of 4.0 ~mm . The resistance of wire B is 2 . The resis

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75

To measure the internal resistance of a battery, potentiometer is used. For R =10 , the balance point is observed at l=500 ~cm and for R =1 the balance point is observed at l=400 ~

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76

Twelve wires each having resistance 2 are joined to form a cube. A battery of 6 ~V emf is joined across point a and c . The voltage difference between e and f is ______V.

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77

In a metre-bridge when a resistance in the left gap is 2 Ω and unknown resistance in the right gap, the balance length is found to be 40 cm . On shunting the unknown resistance wit

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78

In an ammeter, 5 % of the main current passes through the galvanometer. If resistance of the galvanometer is G , the resistance of ammeter will be:

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79

To measure the temperature coefficient of resistivity α of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. T

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80

The current in a conductor is expressed as I = 3 t 2 + 4 t 3 , where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor

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81

The reading in the ideal voltmeter V shown in the given circuit diagram is:

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82

A galvanometer has a resistance of 50 Ω and it allows maximum current of 5 mA . It can be converted into voltmeter to measure upto 100 V by connecting in series a resistor of resis

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83

By what percentage will the illumination of the lamp decrease if the current drops by 20 % ?

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84

In the following circuit, the battery has an emf of 2 V and an internal resistance of 2 3 Ω . The power consumption in the entire circuit is ______ W .

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85

The resistance per centimeter of a meter bridge wire is r , with X Ω resistance in left gap. Balancing length from left end is at 40 cm with 25 Ω resistance in right gap. Now the w

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86

Equivalent resistance of the following network is ________ Ω .

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87

When a potential difference V is applied across a wire of resistance R , it dissipates energy at a rate W . If the wire is cut into two halves and these halves are connected mutual

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88

Two resistance of 100 Ω and 200 Ω are connected in series with a battery of 4 V and negligible internal resistance. A voltmeter is used to measure voltage across 100 Ω resistance,

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89

Two cells are connected in opposition as shown. Cell E 1 is of 8 V emf and 2 Ω internal resistance; the cell E 2 is of 2 V emf and 4 Ω internal resistance. The terminal potential d

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90

A potential divider circuit is shown in figure. The output voltage V 0 is

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91

An electric toaster has resistance of 60 Ω at room temperature 27 ° C . The toaster is connected to a 220 V supply. If the current flowing through it reaches 2 . 75 A , the tempera

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92

In the given circuit, the current in resistance R 3 is:

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93

In the given circuit, the current flowing through the resistance 20 Ω is 0 . 3 A , while the ammeter reads 0 . 9 A . The value of R 1 is _____ Ω .

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94

The electric current through a wire varies with time as I = I 0 + β t , where I 0 = 20 A and β = 3 A s - 1 . The amount of electric charge crossed through a section of the wire in

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95

A galvanometer having coil resistance 10 Ω shows a full scale deflection for a current of 3 mA . For it to measure a current of 8 A , the value of the shunt should be:

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96

The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24 Ω is applied. The resistance of galvanometer coil will be:

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97

Wheatstone bridge principle is used to measure the specific resistance S 1 of given wire, having length L , radius r . If X is the resistance of wire, then specific resistance is :

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98

A current of 200 μA deflects the coil of a moving coil galvanometer through 60 ° . The current to cause deflection through π 10 radian is

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99

Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B , their readings are V 1 , V 2 a

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100

A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be :

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101

A wire of length 10 cm and radius 7 × 10 - 4 m connected across the right gap of a meter bridge. When a resistance of 4 . 5 Ω is connected on the left gap by using a resistance box

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102

For designing a voltmeter of range 50 V and an ammeter of range 10 mA using a galvanometer which has a coil of resistance 54 Ω showing a full scale deflection for 1 mA as in

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103

Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination. Statement II

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104

In the given circuit, the current I through the battery will be

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105

A network of four resistances is connected to 9 V battery, as shown in figure. The magnitude of voltage difference between the points A and B is __________ V .

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106

Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power dissipation is: (A) (B) (C) (D)

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107

A potential V 0 is applied across a uniform wire of resistance R . The power dissipation is P 1 . The wire is then cut into two equal halves and a potential of V 0 is applied acros

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108

When a resistance of 5 Ω is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 mA , however when 1050 Ω resistance is connecte

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109

A wire of resistance 160 Ω is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be

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110

The current flowing through a conductor connected across a source is 2 A and 1 . 2 A at 0 o C and 100 o C respectively. The current flowing through the conductor at 50 o C will be

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111

The current flowing through R 2 is :

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112

Two identical cells each of emf 1 . 5 V are connected in series across a 10 Ω resistance. An ideal voltmeter connected across 10 Ω resistance reads 1 . 5 V . The internal

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113

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will

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114

The current sensitivity of moving coil galvanometer is increased by 25 % . This increase is achieved only changing in the number of turns of coils and area of cross section of the

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115

In the circuit diagram shown in figure given below, the current flowing through resistance 3 Ω is x 3 A . The value of x is ________.

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116

In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor

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117

A rectangular parallelopiped is measured as 1 cm × 1 cm × 100 cm . If its specific resistance is 3 × 10 - 7 Ω m , then the resistance between its two opposite r

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118

The equivalent resistance of the circuit shown below between points a and b is :

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119

10 resistors each of resistance 10 Ω can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will

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120

The equivalent resistance between A and B as shown in figure is:

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