Electric swtich circuit

Question

Answer 1

(1)

Step 1 :

Initially at time , the voltage across the capacitor is .

At time , the capacitor starts discharging.

Solving the differential equation, , where is the maximum charge at starting time.

Since charge is directly proportional to voltage,  , where is the maximum voltage at starting time.

Here maximum voltage at starting time is voltage across the capacitor at starting time.

Substitute , and .

Therefore voltage across the resistor is V.

Solution :

Voltage across the resistor is V.

Answer 2

(2)

Step 1 :

Find the current flowing in the circuit.

Current in the series network is same.

Voltage across the resistor is .

Find the current across the resistor.

Current across the resistor is .

Subtitute  and .

Current in the circuit is A.

Solution :

Current in the circuit is A.