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Electrostatic Potential and Capacitance

Potential due to a Point Charge

Assertion :Two concentric charged shells are given. The potent

Question

Medium

Solving time: 3 mins

Assertion :Two concentric charged shells are given. The potential difference between the shells depends on charge of inner shell.
Reason :Potential due to charge of outer shell remains same at every point inside the sphere.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Assertion is correct but Reason is incorrect

Both Assertion and Reason are incorrect

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Assertion :Two concentric charged shells are given. The potential difference between the shells depends on charge of inner shell.
Reason :Potential due to charge of outer shell remains same at every point inside the sphere.

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Text solutionVerified

For a shell of radius

R

with charge

Q

, potential on the surface or any point inside is given by

V_{1} = \frac{kQ _{1}}{R _{1}}, V_{2} = \frac{kQ _{2}}{R _{2}}

Potential at inner shell is gievn by

V_{i} = \frac{kQ _{1}}{R _{1}} + \frac{kQ _{2}}{R _{2}}

Potential at outer shell

V_{0} = \frac{k Q _{1}}{R _{2}} + \frac{k _{Q_{2}}}{R _{2}}

Potential difference

V_{0} - V_{i} = \frac{kQ _{1}}{R _{1}} - \frac{kQ _{1}}{R _{2}}

Therefore Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

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Question Text	Assertion :Two concentric charged shells are given. The potential difference between the shells depends on charge of inner shell. Reason :Potential due to charge of outer shell remains same at every point inside the sphere.
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	108

Assertion :Two concentric charged shells are given. The potential difference between the shells depends on charge of inner shell.
Reason :Potential due to charge of outer shell remains same at every point inside the sphere.

Text solutionVerified

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Assertion :Two concentric charged shells are given. The potential difference between the shells depends on charge of inner shell.
Reason :Potential due to charge of outer shell remains same at every point inside the sphere.