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Question

Question: A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder...

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral –

A

A potential difference appears between the two cylinders when a charge density is given to the inner cylinder

B

A potential difference appears between the two cylinders when a charge density is given to the outer cylinder

C

No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders

D

No potential difference appears between the two cylinders when same charge density is given to both the cylinders

Answer

A potential difference appears between the two cylinders when a charge density is given to the inner cylinder

Explanation

Solution

There will be appear potential difference between two cylinders if electric field is present in the space between them.

Q E = – dVdr\frac { \mathrm { dV } } { \mathrm { dr } } and E = 2kλr\frac { 2 \mathrm { k } \lambda } { \mathrm { r } }