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Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityMicroscopicEasy2 minQB

PhysicsEasynumerical

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 ____________ $C .$

Answer:

22.00

Solution:

For variable current, integrate to get the total charge flown in a given interval. $q =\in t_{1}^{2} i d t =\in t_{1}^{2} (3 t^{2} + 4 t^{3}) d t$

$\Rightarrow q = (t^{3} + t^{4})_{1}^{2}$

$\Rightarrow q = 22 C$

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Microscopic

⏱ 2mℹ️ Source: QB

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