Physics, asked by asishranjanparida7, 8 months ago

73. Calculate the energy of a sphere of radius 2 cm if it is charged to 300 volts.​

Answers

Answered by abhi178
3

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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