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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 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.
Correct answer is option 'A'. Can you explain this answer?
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A long, hollow conducting cylinder is kept coaxially inside another lo...
Explanation:
Charge Density on Inner Cylinder:
- When a charge density is given to the inner cylinder, it induces an opposite charge on the outer cylinder due to electrostatic induction.
- This creates a potential difference between the two cylinders as the inner cylinder now has a net positive charge and the outer cylinder has a net negative charge.
Charge Density on Outer Cylinder:
- Similarly, when a charge density is given to the outer cylinder, it induces an opposite charge on the inner cylinder.
- This also creates a potential difference between the two cylinders as the outer cylinder now has a net positive charge and the inner cylinder has a net negative charge.
Uniform Line Charge:
- When a uniform line charge is kept along the axis of the cylinders, the electric field inside the cylinders is zero.
- This results in no potential difference between the two cylinders because the charges are distributed in such a way that the electric field cancels out within the cylinders.
Same Charge Density on Both Cylinders:
- When the same charge density is given to both cylinders, there is no induction of opposite charges on each other.
- As a result, there is no potential difference between the two cylinders because both have the same charge distribution.
Therefore, the correct option is 'A', where a potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
Charge Density on Inner Cylinder:
- When a charge density is given to the inner cylinder, it induces an opposite charge on the outer cylinder due to electrostatic induction.
- This creates a potential difference between the two cylinders as the inner cylinder now has a net positive charge and the outer cylinder has a net negative charge.
Charge Density on Outer Cylinder:
- Similarly, when a charge density is given to the outer cylinder, it induces an opposite charge on the inner cylinder.
- This also creates a potential difference between the two cylinders as the outer cylinder now has a net positive charge and the inner cylinder has a net negative charge.
Uniform Line Charge:
- When a uniform line charge is kept along the axis of the cylinders, the electric field inside the cylinders is zero.
- This results in no potential difference between the two cylinders because the charges are distributed in such a way that the electric field cancels out within the cylinders.
Same Charge Density on Both Cylinders:
- When the same charge density is given to both cylinders, there is no induction of opposite charges on each other.
- As a result, there is no potential difference between the two cylinders because both have the same charge distribution.
Therefore, the correct option is 'A', where a potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
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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 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.Correct answer is option 'A'. Can you explain this answer?
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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 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.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.Correct answer is option 'A'. Can you explain this answer?.
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.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.Correct answer is option 'A'. Can you explain this answer?.
Solutions for 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.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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