Find the current in the circuit

A circuit consisting of a capacitor with capacitance C and a resistance R connected in series was connected at the moment t=0 to a source of ac voltage V=V_(m) cos omegat . Find the current in the circuit as a function of time t .

An AC circuit contains a resistance R, an inductance L and a capacitance C connected in series across an alternator of constant voltage and variable frequency. At resonant frequency, it is found that the inductive reactance, the capacitive reactance and the resistance are equal and the current in the circuit is i_(0) . Find the current in the circuit at a frequency twice that of the resonant frequency.

An inductor (L =20 mH) , a resistor ( R = 100 Omega) and a battery (epsilon = 10 V) are connected in series. After along time the circuit is short- circuited and then the battery is disconnected. Find the current in the circuit 1ms after short- circuiting.

A inductor of 20mH inductance and a resistor of 100 Omega resistance are connected in series to a battery of emf 10V. After a long time the circuit is short-circuited and the battery is disconnected. Find the current in the circuit 1 ms after short-circuiting.

An inductor (L =20 mH) , a resistor ( R = 100 Omega) and a battery (epsilon = 10 V) are connected in series. After along time the circuit is short- circuited and then the battery is disconnected. Find the current in the circuit 1ms after short- circuiting.

Three resistors of 10 Omega , 15 Omega and 20 Omega are connected in series in a circuit. If the potential drop across the 15 Omega resistor is 3 V, find the current in the circuit and potential drop across the 10 Omega resistor.

A closed circuit consits of a source of constant and E and a choke coil of inductance L connected in series. The active resistance of the whole circuit is equal to R . At the moment t = 0 the choke coil inductance was decreased abrupty eta times. FInd the current in the circuit as a function of time t .

A closed circuit consits of a source of constant and E and a choke coil of inductance L connected in series. The active resistance of the whole circuit is equal to R . At the moment t = 0 the choke coil inductance was decreased abrupty eta times. FInd the current in the circuit as a function of time t .

Find out current in the circuit and charge on capacitor which is initially uncharged in the following situations Just after the switch is closed

Find out current in the circuit and charge on capacitor which is initially uncharged in the following situations After a long time when switch was closed.