Step 1 :

Case (1) :

At , the switch is connected to terminal A.

At , the capacitor acts as open circuit.

Hence the capacitor charges upto 60 V.

Step 2 :

The voltage across each component is equal to the total circuit voltage.

Solve the equation for current i.

Substitute , and in .

Apply laplace transform to find current i.

Laplace transform of constant .

Laplace transform of integral function .

Apply inverse laplace transform.

Laplace transform of constant .

Solution :

The current flowing through the circuit at any moment of time is  A.

Step 1:

Find the Voltage across capacitor .

The voltage across each component is equal to the total circuit voltage.

So the volatge across capacitor is .

Volatge across resistor is .

Substitute and in .

Voltage across the capacitor is.

Substitute and in ..

Voltage across capacitor is .

Solution :

Voltage across capacitor is .

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