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Charge through a cross-section of a con...

Charge through a cross-section of a conductor is given by `Q = ( 2t^(2) + 5t) C `. Find the current through the conductor at the instant `t = 2 s `.

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Charge `Q = (2t^(2) + 5t)C`
Instantaneous current ` I = (dQ)/(dt) = (d)/(dt)(2t^(2) + 5t)`
` = 4t + 5`
At `t =2 s, l = ( 4 xx 2) + 5 = 13 `A
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