STANDARDPhysics-Electrostatics

STANDARD Physics Capacitance MCQ Question

Type: MCQ-numerical-Medium

A capacitor made of two circular plates each of radius 12 cm and separated by 5 mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.15 A. The capacitance of the parallel plate capacitor in

Question diagram
A

40 pF

B

45 pF

C

70 pF

D

80 pF

Correct Answer

Option D

Detailed Explanation

The capacitance of a parallel plate capacitor is given by C = ε₀A/d. Here, A = πR² = 3.14 × (0.12)² m² = 4.5 × 10⁻² m², d = 5 × 10⁻³ m, and ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻². Substituting these values, C = (8.85 × 10⁻¹² × 4.5 × 10⁻²) / (5 × 10⁻³) = 80 pF.

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