APFIVE Exponential Current Model
A lightning bolt transfers 25 C of charge in 2.0 ms. If the current varies with time according to $$I(t) = I_0 e^{-t/\tau}$$, where $$\tau = 0.5\ \text{ms}$$, what is the peak current $$I_0$$?
A
1.3 × 10^4 A
B
5.0 × 10^3 A
C
1.0 × 10^5 A
D
5.1 × 10^4 A
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