Capacitance
A parallel plate capacitor has plates of area 0.02 m² separated by 1 mm in air. What is its capacitance? (ε₀ = 8.85 × 10⁻¹² F/m)
Select the correct option:
Solution
1.77 × 10⁻¹⁰ F
- Capacitance Formula: For parallel plates, C=dϵ0A.
- Data Transformation:
- Area A=0.02 m2.
- Separation d=1 mm=10−3 m.
- Constant ϵ0=8.85×10−12 F/m.
- Calculation:
- C=10−38.85×10−12×0.02
- C=8.85×10−12×20
- C=177×10−12=1.77×10−10 F.
- Result: The capacitance is 1.77×10−10 F.
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Capacitance C defined as:
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About This Question
- Subject
- physics
- Chapter
- electrostatics
- Topic
- capacitance
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
1.77 × 10⁻¹⁰ F
- Capacitance Formula: For parallel plates, C=dϵ0A.
- Data Transformation:
- Area A=0.02 m2.
- Separation d=1 mm=10−3 m.
- Constant ϵ0=8.85×10−12 F/m.
- Calculation:
- C=10−38.85×10−12×0.02
- C=8.85×10−12×20
- C=177×10−12=1.77×10−10 F.
- Result: The capacitance is 1.77×10−10 F.
This medium difficulty physics question is from the chapter electrostatics, covering the topic of capacitance. It appeared in the 2025 exam.
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