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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Solution:
- 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).
