Electrical capacity of earth is approxim

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Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

Electrical capacity of earth is approximately :

Options:

57.6 µF

1 F

711 µF

9 × 10⁹ µF

Correct Answer:

711 µF

Explanation:

Capacity of a sphere is given by $C = 4\pi \epsilon_0 R$

For Earth $R= 6400 Km = 6400\times 10^3m$

$C = 4\pi \epsilon_0 R = \frac{6400\times 10^3}{9\times 10^9} = 711\mu F$