Question:
A long, hollow conducting cylinder is kept coaxially inside another hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.
A long, hollow conducting cylinder is kept coaxially inside another hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.
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In conductors, a potential difference exists only if there is an electric field between them.
Updated On: Mar 19, 2026
- a potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
- a potential difference appears between 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 cylinders.
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The Correct Option is A
Solution and Explanation
Step 1: When charge is given to the inner cylinder, equal and opposite charge is induced on the inner surface of the outer cylinder. Step 2: This produces an electric field in the region between the two cylinders.
Step 3: The presence of an electric field implies a potential difference between the two cylinders.
Step 4: • If charge is given only to the outer cylinder, the inner region remains field-free.
• A line charge on the axis produces equal potential on both cylinders.
• Same charge density on both cylinders results in no field between them.
Hence, only option (A) is correct.
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