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AC Effective Voltage

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asked Dec 17, 2015 in ELECTRICAL ENGINEERING by anonymous

1 Answer

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Step 1:

Use Superposition principle to calculate voltage across the resistor .

Super Position Theorem :

Take one current source at a time and replace all other with voltage with short or internal resistance and current sources with open.

image

The current flowing in the circuit is .

 in polar form can be written as .

 in complex form can be written as .

Apply current divider rule: .

Find the total impedance .

is in series with .

is in series with .

is in parallel to .

is in series with , image and image.

image

image

Current division rule:

image

image

Find the voltage drop across the resistor .

image

image

image V.

Step 2:

Take one voltage source at a time and replace all other with voltage with short or internal resistance and current sources with open.

image

The voltage in the circuit is image.

image in polar form can be written as image.

image

image in complex form can be written as image.

Apply KVL to loop 1:

image

Find the voltage drop across the impedance .

image

image

image V.

Step 3:

By superposition principle : 

The Voltage across the resistor is image.

image

image

image

image

Voltage across the resistor is image

Solution:

Voltage across the resistor is image

answered Dec 17, 2015 by Lucy Mentor
edited Dec 17, 2015 by Lucy

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