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The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching them
- a)it will be thrice of its initial value
- b)it will be double of its initial value
- c)remains the same
- d)it will be half of its initial value
Correct answer is option 'B'. Can you explain this answer?
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The distance between the plates of a capacitor is d. What will be the ...
Explanation:
Capacitance of a capacitor:
The capacitance of a capacitor is given by the equation:
C = εA/d
where C is the capacitance, ε is the permittivity of the medium between the plates, A is the area of the plates, and d is the distance between the plates.
Effect of introducing a metal plate:
When a metal plate of thickness d/2 is introduced between the plates without touching them, the distance between the plates decreases by d/2. This means that the new distance between the plates is d/2.
New capacitance:
Using the equation for capacitance, we can calculate the new capacitance as:
C' = εA/(d/2)
C' = 2εA/d
The new capacitance is double the initial capacitance. Therefore, the correct answer is option B, "it will be double of its initial value."
Capacitance of a capacitor:
The capacitance of a capacitor is given by the equation:
C = εA/d
where C is the capacitance, ε is the permittivity of the medium between the plates, A is the area of the plates, and d is the distance between the plates.
Effect of introducing a metal plate:
When a metal plate of thickness d/2 is introduced between the plates without touching them, the distance between the plates decreases by d/2. This means that the new distance between the plates is d/2.
New capacitance:
Using the equation for capacitance, we can calculate the new capacitance as:
C' = εA/(d/2)
C' = 2εA/d
The new capacitance is double the initial capacitance. Therefore, the correct answer is option B, "it will be double of its initial value."
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The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching thema)it will be thrice of its initial valueb)it will be double of its initial valuec)remains the samed)it will be half of its initial valueCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching thema)it will be thrice of its initial valueb)it will be double of its initial valuec)remains the samed)it will be half of its initial valueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching thema)it will be thrice of its initial valueb)it will be double of its initial valuec)remains the samed)it will be half of its initial valueCorrect answer is option 'B'. Can you explain this answer?.
The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching thema)it will be thrice of its initial valueb)it will be double of its initial valuec)remains the samed)it will be half of its initial valueCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching thema)it will be thrice of its initial valueb)it will be double of its initial valuec)remains the samed)it will be half of its initial valueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance between the plates of a capacitor is d. What will be the new capacitance if a metal plate of thickness d/2 is introduced between the plates without touching thema)it will be thrice of its initial valueb)it will be double of its initial valuec)remains the samed)it will be half of its initial valueCorrect answer is option 'B'. Can you explain this answer?.
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