5. An electric circuit contains a resistance R and a capacitor C in series, and a batterysupplying a time-varying electromotive force (or voltage) V(t). The charge q on thecapacitor therefore obeys the following differential equation:Rdq + 2 = V(t).dtAssuming that initially there is no charge on the capacitor, and given that V(t)Vosinut, where V₂ and w are some constants, find the charge on the capacitor as afunction of time.=Hint: You may have to do integration by parts twice to evaluate the following inte-gral: feRc sin(wt)dt.

Given, V(t)=Rdqdt+qcV(t)=V0sinωtV0sinωt=Rdqdt+qcV0sinωtR=dqdt+qRc Compare the equation by linear…

Answered: 5. An electric circuit contains a…

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