First slide

Electrical power

Question

The voltage of clouds is $4 \times 10^{6} V$ with respect to ground. In a lightning strike lasting 100 ms, a charge of 4 C is delivered to the ground. The power of lightning strike is

Moderate

A

20 MW
B

80 MW
C

160 MW
D

500 MW

Solution

Work done in delivering q coulomb of charge from clouds to ground.
$W = Vq = 4 \times 10^{6} \times 4 = 16 \times 10^{6} J$
The power of lightning strike is
$P = \frac{W}{t} = \frac{16 \times 10^{6}}{0 .1} = 160 \times 10^{6} W = 160 MW$

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