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JEE Main20241 Feb 2024Morning ShiftPhysicsCurrent ElectricityActual

The current in a conductor is expressed as I = 3 t 2 + 4 t 3 , 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 .

Correct answer

0

Step-by-step solution

For variable current, integrate to get the total charge flown in a given interval. q = ∫ 1 2 i d t = ∫ 1 2 3 t 2 + 4 t 3 d t ⇒ q = t 3 + t 4 1 2 ⇒ q = 22 C

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