P 1.2-2 The current in a circuit element is i(t) = 4(1–e–5t) A when t ≥ 0 and i(t) = 0 when t < 0. Determine the total charge that has entered a circuit element for t ≥ 0.

 

Hint:

 

Answer: q(t) = 4t + 0.8e–5t– 0.8 C for t ≥ 0

 

 

 

 

Since i(t) = 0 for t<0, q(t) is also zero for t<0.

 

 

Since again i(t) = 0 for t<0.  So

 

 

 

 

 

 

 

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This page last updated on September 27, 2018