73. Calculate the energy of a sphere of radius 2 cm if it is charged to 300 volts.
Answers
We have to calculate the energy stored in a sphere of radius 2 cm and it is charged to 300 volts.
solution : first we should find out capacity of this spherical capacitance. [ because sphere seems like a capacitor stored charged on it ]
using formula, C = 4πε₀r
here r = 2cm = 0.02 m and k = 1/4πε₀ = 9 × 10^9 Nm²/C²
so, C = (0.02)/(9 × 10^9) F
= 0.0022 × 10^-9 F
= 2.2 × 10¯¹² F
now Energy stored in sphere, E = 1/2 CV²
= 1/2 × (2.2 × 10¯¹²)(300)²
= 1.1 × 10¯¹² × 9 × 10⁴
= 9.9 × 10^-8 J
≈ 10^-7 J
Therefore the energy stored in the given sphere if it is charged to 300 volts is 10^-7 J.
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