Electrostatics 7 Question 12

12. A long, hollow conducting cylinder is kept co-axially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral. (2007, 3M)

(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.

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Answer:

Correct Answer: 12. (a)

Solution:

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

$\therefore$ Correct answer is (a).



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