Question

Given the following current equation, how much charge is displaced in the first 5 seconds?

i(t)={−t10+1 Afor 0 0for t>10 s

Answer 1

Answer:

Total charge flow through the wire from t = 0 to t = 5 is -120 C

Explanation:

As we know that current is defined as rate of flow of charge

so we will have

$i = \frac{dq}{dt}$

so charge flow through the wire is

$q = \int i dt$

$q = \int (-10 t + 1) dt$

$q = -5 t^2 + t$

now we need to find the total charge flow from t = 0 to t = 5 s

so we have

$q = -5(5^2 - 0) + (5 - 0)$

$q = -120 C$

#Learn

Topic : Current electricity

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