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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 cylinders. (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.

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 cylinders.
(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.

Grade:6

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago

When a charge density is given to the inner cylinder, the potential developed at its surface is different from

that on the outer cylinder. This is because the potential decreases with distance for a charged conducting cylinder when the point of consideration is outside the cylinder. But when a charge density is given to the outer cylinder it will change its potential by the same amount as that of the inner cylinder. Therefore no potential difference will be produced between the cylinders in this case.

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