# Electric current function of time

## Homework Statement

##i=20\sin(377t)## is the current function. in the time interval 0-1/120 sec what is the charge that passed

## Homework Equations

$$q=\int_0^t i dt$$

## The Attempt at a Solution

$$q=\int_0^{1/120} 20\sin(377t) dt=\frac{20}{377}\int_0^{3.14} \sin x dx$$
$$q=-\frac{20}{377}\cos x|_0^{3.14}=-\frac{20}{377}(-0.0015)=79.6\cdot10^{-6}[Coulomb]$$
It should be q=0.106

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Bystander
Homework Helper
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cosx| 3.14 0
Okay.
(−0.0015)=
Huh?

One word is enough, thanks

haruspex