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The current in a conductor is expressed as I=3t²+4t³, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t=1 s to t=2 s is ______ C.

Asked in JEE Main 1st Feb 1st Shift 2024 · Current and charge flow

Answer: 22

Step-by-step solution

q=∫₁² I dt=∫₁²(3t²+4t³) dt.

q=[t³+t⁴]₁²=(8+16)-(1+1).

q=22 C.

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