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A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:
- a)invariant for all positions of the sheet
- b)maximum when the sheet is midway between the 2 plates
- c)maximum when the sheet is just near the + plate
- d)maximum when the sheet is just near the - plate
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A sheet of aluminium is inserted in the air gap between the parallel p...
Explanation:
Effect of inserting a sheet of aluminum in an air gap between the parallel plate capacitor on capacitance of capacitor is explained below:
1. Capacitance of parallel plate capacitor:
Capacitance of parallel plate capacitor is given by the formula:
C = εA/d
Where, C is capacitance, ε is permittivity of the medium between the plates, A is area of the plates and d is distance between the plates.
2. Effect of inserting a sheet of aluminum:
When a sheet of aluminum is inserted in the air gap between the parallel plate capacitor, the permittivity of the medium between the plates changes due to the presence of aluminum sheet.
But, as the aluminum sheet is not touching any of the two plates of the capacitor, it does not alter the distance between the plates or the area of the plates.
As a result, the capacitance of the capacitor remains unchanged.
3. Conclusion:
Hence, the correct option is (a) that the capacitance of the capacitor is invariant for all positions of the sheet.
Effect of inserting a sheet of aluminum in an air gap between the parallel plate capacitor on capacitance of capacitor is explained below:
1. Capacitance of parallel plate capacitor:
Capacitance of parallel plate capacitor is given by the formula:
C = εA/d
Where, C is capacitance, ε is permittivity of the medium between the plates, A is area of the plates and d is distance between the plates.
2. Effect of inserting a sheet of aluminum:
When a sheet of aluminum is inserted in the air gap between the parallel plate capacitor, the permittivity of the medium between the plates changes due to the presence of aluminum sheet.
But, as the aluminum sheet is not touching any of the two plates of the capacitor, it does not alter the distance between the plates or the area of the plates.
As a result, the capacitance of the capacitor remains unchanged.
3. Conclusion:
Hence, the correct option is (a) that the capacitance of the capacitor is invariant for all positions of the sheet.
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Community Answer
A sheet of aluminium is inserted in the air gap between the parallel p...
Explanation:
Effect of a metal sheet on a parallel plate capacitor depends on its position with respect to the plates. Let's analyze each statement.
a) Invariant for all positions of the sheet:
- Capacitance of a parallel plate capacitor depends on the distance between the plates and the permittivity of the medium between them.
- When a metal sheet is inserted between the plates, it acts as a conductor and redistributes the charges on the plates.
- The charges induced on the sheet are opposite to that on the plates and cancel some of the charges on the plates. This reduces the electric field between the plates and hence the capacitance decreases.
- However, the effect of the sheet is symmetric with respect to the center of the capacitor. That is, the charges induced on the sheet are equal and opposite on both sides of the centerline.
- Therefore, the net effect of the sheet on the capacitance is zero and it remains invariant for all positions of the sheet.
b) Maximum when the sheet is midway between the 2 plates:
- This statement is not true as the capacitance remains unchanged for all positions of the sheet.
c) Maximum when the sheet is just near the + plate:
- This statement is not true as the capacitance remains unchanged for all positions of the sheet.
d) Maximum when the sheet is just near the - plate:
- This statement is not true as the capacitance remains unchanged for all positions of the sheet.
Therefore, the correct answer is option 'A'.
Effect of a metal sheet on a parallel plate capacitor depends on its position with respect to the plates. Let's analyze each statement.
a) Invariant for all positions of the sheet:
- Capacitance of a parallel plate capacitor depends on the distance between the plates and the permittivity of the medium between them.
- When a metal sheet is inserted between the plates, it acts as a conductor and redistributes the charges on the plates.
- The charges induced on the sheet are opposite to that on the plates and cancel some of the charges on the plates. This reduces the electric field between the plates and hence the capacitance decreases.
- However, the effect of the sheet is symmetric with respect to the center of the capacitor. That is, the charges induced on the sheet are equal and opposite on both sides of the centerline.
- Therefore, the net effect of the sheet on the capacitance is zero and it remains invariant for all positions of the sheet.
b) Maximum when the sheet is midway between the 2 plates:
- This statement is not true as the capacitance remains unchanged for all positions of the sheet.
c) Maximum when the sheet is just near the + plate:
- This statement is not true as the capacitance remains unchanged for all positions of the sheet.
d) Maximum when the sheet is just near the - plate:
- This statement is not true as the capacitance remains unchanged for all positions of the sheet.
Therefore, the correct answer is option 'A'.
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A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer?.
A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer?.
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A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A sheet of aluminium is inserted in the air gap between the parallel plate capacitor, without touching any the two plates of the capacitor. The capacitance the capacitor is:a)invariant for all positions of the sheetb)maximum when the sheet is midway between the 2 platesc)maximum when the sheet is just near the + plated)maximum when the sheet is just near the - plateCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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