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The current through a wire varies wilh time asI = I_(0)+ alpha t where I_(0)= 20 A and alpha= 3 A s^(-1) . Find the charge that flows across a cross - section of the wire in first 10 seconds. |
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Answer» Solution :350 C Q= `int_(0)^(10) I dt = int_(0)^(10) ( I_(0) + alpha t) dt = int_(0)^(10) ( 20 + 3t) dt ` `thereforeQ = [ 20 t + (3t^(2))/(2)]_(0)^(10)` ` therefore Q = [ 20 XX 10 + (3 xx 100)/(2) ] ` `therefore Q = [ 200 + 150]` `therefore Q = 350 C ` |
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