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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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.
- b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.
- c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
- d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A long, hollow conducting cylinder is kept coaxially inside another lo...
When the charge is given to inner cylinder than there is an electric field is produced between cylinders which is given by 
and due to this a potential difference is developed between two cylinders.
and due to this a potential difference is developed between two cylinders.
Most Upvoted Answer
A long, hollow conducting cylinder is kept coaxially inside another lo...
Explanation:
The presence of a potential difference between two conductors depends on the charge distribution on them. Let's analyze each option to understand why option D is the correct answer.
a) No potential difference appears between the two cylinders when the same charge density is given to both the cylinders.
In this case, since the charge densities on both cylinders are the same, the electric field inside and outside the cylinders will be zero. Due to this, there will be no potential difference between the cylinders.
b) No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.
In this scenario, we have an axial line charge. The electric field due to the line charge will be directed radially outward or inward, depending on the sign of the charge. However, since the cylinders are conductors, any electric field inside them will induce charges to redistribute until the electric field inside becomes zero. Therefore, there will be no potential difference between the cylinders.
c) A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
When a charge density is given to the outer cylinder, the electric field inside the outer cylinder will not be zero. This electric field will induce charges on the inner cylinder. The induced charges will arrange themselves in such a way that the electric field inside the inner cylinder is zero. As a result, a potential difference will appear between the two cylinders.
d) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
When a charge density is given to the inner cylinder, the electric field inside the inner cylinder will not be zero. This electric field will induce charges on the outer cylinder. The induced charges will arrange themselves in such a way that the electric field inside the outer cylinder is zero. As a result, a potential difference will appear between the two cylinders.
Therefore, option D is the correct answer as it correctly identifies the scenario where a potential difference appears between the two cylinders.
The presence of a potential difference between two conductors depends on the charge distribution on them. Let's analyze each option to understand why option D is the correct answer.
a) No potential difference appears between the two cylinders when the same charge density is given to both the cylinders.
In this case, since the charge densities on both cylinders are the same, the electric field inside and outside the cylinders will be zero. Due to this, there will be no potential difference between the cylinders.
b) No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.
In this scenario, we have an axial line charge. The electric field due to the line charge will be directed radially outward or inward, depending on the sign of the charge. However, since the cylinders are conductors, any electric field inside them will induce charges to redistribute until the electric field inside becomes zero. Therefore, there will be no potential difference between the cylinders.
c) A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
When a charge density is given to the outer cylinder, the electric field inside the outer cylinder will not be zero. This electric field will induce charges on the inner cylinder. The induced charges will arrange themselves in such a way that the electric field inside the inner cylinder is zero. As a result, a potential difference will appear between the two cylinders.
d) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
When a charge density is given to the inner cylinder, the electric field inside the inner cylinder will not be zero. This electric field will induce charges on the outer cylinder. The induced charges will arrange themselves in such a way that the electric field inside the outer cylinder is zero. As a result, a potential difference will appear between the two cylinders.
Therefore, option D is the correct answer as it correctly identifies the scenario where a potential difference appears between the two cylinders.
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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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. 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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. 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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 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)No potential difference appears between the two cylinders when same charge density is given to both the cylinders.b)No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.c)A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.d)A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.Correct answer is option 'D'. Can you explain this answer?.
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