AC Circuit RLC

Question

Answer 1

(a)

Observe the circuit:

The input sine voltage is .

Compare the function with .

Here .

Find the total impedance.

and are in parallel.

is in series with .

can be written in polar form as .

Answer 2

(b)

Step 1:

The input sine voltage is .

Compare the function with .

in polar form can be written as .

The sine voltage can be written as 

From (a): Total impedance .

Find the total current.

Total current is 

Step 2:

Find the capacitor impedance.

can be written in polar form as

Find the voltage across the capacitor.

Voltage across the capacitor is  V.

Solution:

Voltage across the capacitor is  V.