STANDARD Physics Current and Charge MCQ Question
The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2 s to t = 6 s is
40 C
48 C
38 C
43 C
Correct Answer
Detailed Explanation
The charge dq is given by I dt = (4 + 2t) dt. Integrating from t = 2 to t = 6, we get q = ∫(4 + 2t) dt from 2 to 6 = [4t + t²] from 2 to 6 = 48 C.
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