Power in AC Circuit

Question

Answer 1

(a)

Step 1:

Find the total impedance.

is in parallel to .

is in series with and .

Step 2:

Find the power reading in wattmeter 1.

Input voltage is

It is in the form of .

Here .

Wattmeter reading is the real part of the power.

Solution:

Power in wattmeter 1 is

Answer 2

(b)

Step 1:

From (a):

Find the total current in the ciruit.

Step 2:

In a series network, current is same through each element.

Find the voltage drop across .

It is in the form of .

Here .

Find the power reading in wattmeter 2.

Solution:

Power in wattmeter 2 is