Charge & current practice problems
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Read the charge & current class notes.

A current transient (or spike) is characterized by the current abruptly jumping from zero to some maximum (peak) value, I_max, and then decaying away exponentially with a decay constant of τ. After a sufficiently long time, the current decays back to zero.

i(t) = I_max·exp(-t/τ)

For a current transient with a peak current of I_max = 0.5 A and decay constant of τ = 50 μs, determine the total charge that was transported during the spike. How many electrons does that correspond to?

Answer