The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in sec. The quantity of charge which has passed through a cross-section of the wire during the time t = 2 sec to t = 6 sec will be
Total charge flowing -
- wherein
Total charge
Let dq be the charge which has passed in a small interval of time dt,
then dq = idt = (4 + 2t)dt
Hence total charge passed between interval t = 2 sec and t = 6 sec
q = = 48 coulomb
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