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

Question

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

Tardigrade Admin · Accepted Answer

There will be an electric field between two cylinders (using Gauss theorem). This electric field will produce a potential difference. ∴ Correct answer is (a).

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

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

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

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

There will be an electric field between two cylinders (using Gauss theorem). This electric field will produce a potential difference.
$∴$ Correct answer is (a).