Q.

Electric current through a conductor varies with time as l(t) = 50 sin( 100πt). Here I is in amperes and t in seconds. Total charge that passes any point from t = 0 to t=1200 sec is :

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a

1.2 C

b

0.36 C

c

0.16 C

d

0.02 C

answer is C.

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Detailed Solution

Q=∫I dt=∫0120050 sin 100πtdt =50100π-cos 100πt01/200=16=0.16 C
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Electric current through a conductor varies with time as l(t) = 50 sin( 100πt). Here I is in amperes and t in seconds. Total charge that passes any point from t = 0 to t=1200 sec is :