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AP Physics 2/Unit 11 – Electric Circuits
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Exponential Current Model

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During a lightning strike that lasts 2.0 ms, a total charge of 25 C is transferred. The current as a function of time is given by I(t)=I0e−t/τI(t) = I_0 e^{-t/\tau}, with a time constant τ=0.5 ms\tau = 0.5\ \text{ms}. Determine the peak current, I0I_0.

A

1.0 × 10^5 A

B

1.3 × 10^4 A

C

5.0 × 10^3 A

D

5.1 × 10^4 A

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