Step 1:

The resistance and the capacitor are in series.

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 .

The initial voltage of the capacitor when is .

Apply inverse laplace transform.

Laplace transform of constant .

Solution :

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

Step 1:

Find the voltage across resistor .

Volatge across resistor is .

Substitute and in .

Solution :

Volatge across resistor is .

Step 1:

Find the current flowing through the circuit r .

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

So the volatge across capacitor is .

From (2) .

Solution :

Volatge acrossv inductor is .

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