Find how the voltage across the capacitor `C` varies with time `t` after closing of the switch `S_(w)` at the moment `t=0`.
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A certain oscillating circuit consits of a capacitor with capacitance C , a coil with inductance L and active resistance R , and a switch . When the swith was disconnected, the capacitor was charged, then the switch was closed and oscillations set in. Find the ratio of the voltage across the capacitor to its peak value at the moment immediatel after closing the switch.

Find heat produced in the capacitors after long time on closing the switch S

The time when the voltage drop across the resistor drops to nearly 37% of the value just after the switch S_(w) is closed : (R=100k Omega, C = 1 mu F) is :

In the circuit shown in figure-3.244, the battery is an ideal one with emf V. The capacitor is initially uncharged. The switch S is closed at time t=0. (a) Find the charge Q on the capacitor at time l (b) Find the current in branch AB at time just after closing the switch.

A 1 -k Omega resistor is connected in series with a 10-mH inductor, a 30 V battery and an open switch. At time t= 0 , the switch is suddenly closed. a. What is the maximum current in this circuit and when does it occur? b. What are the voltage drops across the inductor and across the resistor 20 mu s after the switch is closed? c. On a single set of axes, sketch the voltage across the resistor and the voltage across the inductor as functions of time. Also, sketch a graph of the current in the circuit as s function of time.

A 1 -k Omega resistor is connected in series with a 10-mH inductor, a 30 V battery and an open switch. At time t= 0 , the switch is suddenly closed. a. What is the maximum current in this circuit and when does it occur? b. What are the voltage drops across the inductor and across the resistor 20 mu s after the switch is closed? c. On a single set of axes, sketch the voltage across the resistor and the voltage across the inductor as functions of time. Also, sketch a graph of the current in the circuit as s function of time.

In the circuit shown switches S_(1) and S_(2) have been closed for 1 sec and S_(2) remained open.Just after 1 second is over switch S_(2) is closed and S_(1),S_(3) are opened.Find after that instant The charge on the upper plate of the capacitor as function of time taking the instant of switching on of S_(2) and switching off all time switches to be t=0 is q=x xx10^(-2)cos (t+pi/4) .Findout value of x .

In the circuit shown switches S_(1) and S_(2) have been closed for 1 sec and S_(2) remained open.Just after 1 second is over switch S_(2) is closed and S_(1),S_(3) are opened.Find after that instant The charge on the upper plate of the capacitor as function of time taking the instant of switching on of S_(2) and switching off all time switches to be t=0 is q=x xx10^(-2)cos (t+pi/4) .Findout value of x .

In the circuit shown in the figure, E = 50.0 V, R = 250 Omega and C = 0.500 muF. The switch S is closed for a long time, and no voltage is measured across the capacitor. After the switch is opened, the voltage across the capacitor reaches a maximum value of 150 V . What is the inductance L ?