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Lightning is very good example of natura...

Lightning is very good example of natural current. In typical lightning, there is `10^(9)J` energy transfer across the potential difference of `5xx10^(7)V` during a time interval of 0.2s.

Using this information, estimate the following quantities (a) total amount of charge transferred between bolt (c ) the power delivered in 0.2 s.

Text Solution

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During the lightning energy, `E=10^(9)J`
Potential energy, `V=5xx10^(7)V`
Time interval, `t=0.2s`
(a) Amount of charge transferred between cloud and ground, `q=It`
(b) Current in the lighting bolt, `E=VIt`
`I=(E )/(Vt)=(10^(9))/(5xx10^(7)xx0.2)=1xx10^(9)xx1^(-7)`
`I=1xx10^(2)`
`I=100A`
`therefore q=It=100xx0.2`
`q=20C`
(c ) Power delivered, `E=VIt`
`P=VI=5xx10^(7)xx100=500xx10^(7)`
`I=5xx10^(9)W`
`P=5GW`
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