PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 9

HARD

JEE Advanced

IMPORTANT

Earn 100

Find the potential difference (in $V$ ) between points $A$ and $B$ shown in the circuit.

Important Questions on Electric Current and Circuits

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 10

In the circuit shown, each resistance is $2 Ω$ . The potential $V_{1}$ is as indicated in the circuit. What is the magnitude of $V_{1}$ in $volt$ ?
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MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 11

The area of cross-section, length and density of a piece of metal of atomic weight

60

is

10^{- 6} m^{2}

,

1 m

and

5 \times 10^{3} kg m^{- 3}

, respectively. If every atom contributes one free electron, find the drift velocity (in

mm s^{- 1}

) of electrons in the metal when a current of

16 A

passes through it. Avogadro's number is

N_{A} = 6 \times 10^{23} {mol}^{- 1}

and charge on an electron is

e = 1.6 \times 10^{- 19} C

.

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 12

A finite square grid, each link having resistance

r

, is fitted in a resistance-less conducting circular wire. Determine the equivalent resistance between

A

and

B

(in

Ω

) if,

r = (\frac{80}{7}) Ω

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HARD

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 13

In the infinite grid, the value of each resistance is

r = 2 (\sqrt{5} - 1) Ω

. Find the equivalent resistance between the points

a

and

c

(in

Ω

).

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HARD

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 14

The potential difference

V_{A} - V_{B}

for the circuit shown in figure is

- (22 / x) V

. Find the value of

x

.

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MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 15

Find current in the branch $C D$ of the circuit (in ampere)
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EASY

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 16

Find the current (in

A

) in the rightmost shown in figure.
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HARD

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 5 - Electric Current and Circuits>Exercise>Q 17

At what value of the resistance in the circuit shown in the figure will the total resistance between points

A

and

B

be independent of the number of cells? If

R = (\sqrt{3} + 1) Ω

, then the value of

X

will be ___

Ω .

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