Question

Calculate the energy of a sphere of radius 8cm if it is charged to 150 volts.

Answer 1

Explanation:

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Answer 2

Given:

The radius of the sphere = 8 cm = 8×10⁻² m

Potential of the sphere = 150 V

To find:

The energy of the sphere

Calculation:

The energy of a sphere is given by the formula

    E = (1/2)CV²

Capacitance (C) = 4π∈₀r

=> E = (1/2) × 4π∈₀r × V²

     E = (1/2) × (1/9×10⁹) × 8×10⁻² × (150)²

     E = 10⁻⁷ J

The energy of the sphere is 10⁻⁷ J