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Electric current through a conductor varies with time as $l (t) = 50 \sin (100 πt)$ . Here I is in amperes and t in seconds. Total charge that passes any point from t = 0 to $t = \frac{1}{200}$ sec is :

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1.2 C

0.36 C

0.16 C

0.02 C

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detailed solution

Correct option is C

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 :

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Electric current through a conductor varies with time as $l (t) = 50 \sin (100 πt)$ . Here I is in amperes and t in seconds. Total charge that passes any point from t = 0 to $t = \frac{1}{200}$ sec is :