105. Initially switch S was open and circuit has achieved its steady state at t = 0 then switch S is suddenly closed .find the current through resistor R as a function of time

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Q. Initially switch

S

is in open state. How much charge flows through switch

S

when it is closed? Assume steady state condition to be achieved after

S

closed.

Q. Circuit shown in figure is in steady state, now switch is closed, find charge passed through switch till next steady state is achieved.

Q. A Circuit contains a resistor of resistance

R

and a capacitor

C_{1}

of capacitance

C

, a second Capacitor

C_{2}

of capacitance

2 C

, and a battery that provides an emf of

V

, as shown above.
Initially, both switch 1 is closed, switch 2 is open and the circuit is at steady state. At time

t = 0

, both switch 1 is closed and switch 2 is closed. After the circuit reaches steady state, what is the charge

Q_{2}

on capacitor

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Initially, the switch is open for a long time. Now the switch is closed at t=0. Find the charge on the rightmost capacitor as a function of time given that it was initially unchanged.

Q. The switch in figure is open for

t < 0

then closed at time

t = 0

. Find the current through the switch as function of time there after.

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