Current through a wire varies with time as I(t) = 0.02t + 0.01 A. The charge flowing through the wire from t = 1 s to t = 2 s is:
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Question

Current through a wire varies with time as I(t) = 0.02t + 0.01 A. The charge flowing through the wire from t = 1 s to t = 2 s is:

G1 Physics · Accepted Answer

Charge transferred is the time integral of current: Q = ∫I(t)dt. Therefore, Q = ∫₁²(0.02t + 0.01)dt = [0.01t² + 0.01t]₁². At t=2: 0.01(4) + 0.01(2) = 0.06. At t=1: 0.01(1) + 0.01(1) = 0.02. Hence, Q = 0.06-0.02 = 0.04 C. Correct option: B.