<p>A lightning strike can be considered as the discharging of a capacitor with i

Question

<p>A lightning strike can be considered as the discharging of a capacitor with initial charge<br />Q= 10 C within a time &#916;t=1ms from the cloud to the ground. How would You orient a wire<br />loop in order to maximise the induced potential? Calculate the maximum induced potential<br />in this single wire loop with cross section area A=1 m2 at a distance R=100 m from the<br />strike, assume that the strike hits the ground in perpendicular direction.</p>

Explanation / Answer

initial charge of the capacitor is q_0 = 10 C time t = 1.00*10^-3 s current throught the ring is i = q / t                                                 = 10 / 1.00*10^-3 s                                                  = 1.00*10^4 A Crossectional area is A = 1.00m^2 distance is R = 100 m magnetic field in the loop is B = _0 i / 2R                                                = 4*10^-7 * 1.00*10^4 A / 2 *100m                                                = 2.00*10^-5 T maximum induced potential is e = d / dt                                                     = d ( BA ) / dt                                                     = 2.00*10^-5 T   * 1.00m^2 / 1.00*10^-3 s                                                      = 0.02V

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