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lectromotive force V(t). The charge q on the capacitor therefore obeys the equation R(dq/dt) + (q/C) = V(t) Assuming that initially there is no charge on the capacitor, and given that = sinωt V(t) V0 , find the charge on the capacitor as a funct

lectromotive force V(t). The charge q on the capacitor therefore obeys the equation R(dq/dt) + (q/C) = V(t) Assuming that initially there is no charge on the capacitor, and given that = sinωt V(t) V0 , find the charge on the capacitor as a funct

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A series electric circuit contains a resistor R, a capacitor C and a battery supplying a time-varying
electromotive force V(t). The charge q on the capacitor therefore obeys the equation

R(dq/dt) + (q/C) = V(t)

Assuming that initially there is no charge on the capacitor, and given that = sinωt V(t) V0 , find
the charge on the capacitor as a function of time. [Hint: First, find an appropriate integrating factor.]

A series electric circuit contains a resistor R, a capacitor C and a battery supplying a time-varying electromotive force V(t). The charge q on the capacitor therefore obeys the equation 4. dq q R- dt 9 =V(t) . C Assuming that initially there is no charge on the capacitor, and given that V(t)=V, sin ot , find the charge on the capacitor as a function of time. [Hint: First, find an appropriate integrating factor.]
Transcribed Image Text:A series electric circuit contains a resistor R, a capacitor C and a battery supplying a time-varying electromotive force V(t). The charge q on the capacitor therefore obeys the equation 4. dq q R- dt 9 =V(t) . C Assuming that initially there is no charge on the capacitor, and given that V(t)=V, sin ot , find the charge on the capacitor as a function of time. [Hint: First, find an appropriate integrating factor.]
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