Capacitors
A parallel plate capacitor has capacitance C. If a dielectric slab of dielectric constant K is inserted filling half the space between plates parallel to plates, the new capacitance is:
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About This Question
- Subject
- physics
- Chapter
- electrostatics
- Topic
- capacitors
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
2KC / (K+1)
- Analyze the Series Combination: A parallel plate capacitor with a dielectric slab filling half the thickness acts like two capacitors in series: one with air (d1=d/2) and one with the dielectric (d2=d/2).
- Individual Capacitances:
- C1=d/2ϵ0A=2C
- C2=d/2Kϵ0A=2KC
- Equivalent Capacitance (Ceq): Using the series formula Ceq1=C11+C21: Ceq=C1+C2C1C2=2C+2KC(2C)(2KC)=2C(1+K)4KC2=K+12KC
This medium difficulty physics question is from the chapter electrostatics, covering the topic of capacitors. It appeared in the 2025 exam.
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