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Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is?
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Capacitor has capacitance C. If the plate area is doubled and the sepa...
Understanding Capacitance
Capacitance (C) is defined by the formula:
C = ε * (A/d)
where:
- C = capacitance
- ε = permittivity of the dielectric material
- A = area of the plates
- d = separation between the plates
Impact of Doubling Plate Area
When the plate area (A) is doubled:
- New Area (A') = 2A
Effect of Reducing Plate Separation
When the separation (d) is reduced to one third:
- New Separation (d') = d/3
New Capacitance Calculation
Substituting the new values into the capacitance formula:
C' = ε * (A'/d')
- Replace A' and d':
C' = ε * (2A) / (d/3)
- Simplifying gives:
C' = ε * (2A * 3/d) = 6 * (ε * (A/d))
Thus,
C' = 6C
Conclusion
The new capacitance, after doubling the area and reducing the separation, becomes six times the original capacitance.
- Therefore, the final capacitance is:
C' = 6C
Capacitance (C) is defined by the formula:
C = ε * (A/d)
where:
- C = capacitance
- ε = permittivity of the dielectric material
- A = area of the plates
- d = separation between the plates
Impact of Doubling Plate Area
When the plate area (A) is doubled:
- New Area (A') = 2A
Effect of Reducing Plate Separation
When the separation (d) is reduced to one third:
- New Separation (d') = d/3
New Capacitance Calculation
Substituting the new values into the capacitance formula:
C' = ε * (A'/d')
- Replace A' and d':
C' = ε * (2A) / (d/3)
- Simplifying gives:
C' = ε * (2A * 3/d) = 6 * (ε * (A/d))
Thus,
C' = 6C
Conclusion
The new capacitance, after doubling the area and reducing the separation, becomes six times the original capacitance.
- Therefore, the final capacitance is:
C' = 6C
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Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is?
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Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is?.
Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Capacitor has capacitance C. If the plate area is doubled and the separation between the plates is one third of the initial, the capacitance is?.
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