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Electric current through a conductor varies with time as I(t) = 50 sin ( $100 π t$ ). Here I is in amperes and t in seconds. Total charge that passes any point from $t = 0$ to $t = \frac{1}{200} s$ is $x \times 10^{- 2} C$ , then $x$ is

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answer is D.

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Detailed Solution

$q = \int_{}^{} I d t = \int_{0}^{1 / 200} 50 \sin (100 π t)$

$= \frac{50}{100 π} {[- \cos (100 π t)]}_{0}^{1 / 200} = 0.16 C$

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