First slide

electric current

Question

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 :

Easy

A

1.2 C
B

0.36 C
C

0.16 C
D

0.02 C

Solution

$Q = \int I dt = \int_{0}^{\frac{1}{200}} 50 \sin (100 πt) dt = {\{\frac{50}{100 π} [- \cos (100 πt)]\}}_{0}^{1 / 200} = \frac{1}{6} = 0.16 C$

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