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AC Circuit Current Source

0 votes

asked Dec 8, 2015 in ELECTRICAL ENGINEERING by anonymous

3 Answers

0 votes

(a)

Observe the circuit:

The input current is image.

Compare the function with image.

Here image.

Find the total impedance.

image and image are in series.

image

image

image and image are in parallel.

image

image

image

is in series with image.

image

image

image can be written in polar form as image.

answered Dec 8, 2015 by Lucy Mentor
0 votes

(b)

Step 1:

Observe the circuit:

The input sine voltage is .

Compare the function with .

in polar form can be written as .

The sine voltage can be written as

can be written in complex form as .

Step 2:

Draw the equivalent circuit:

Find the voltage across the impedance .

image

image

A parallel network has same voltage.

image

From (a): image

image

Same amount of current flows through image and image, therefore image

image can be written in polar form is image

Solution:

image

answered Dec 8, 2015 by Lucy Mentor
edited Dec 8, 2015 by steve
0 votes

(c)

From (b): Current through image is image

Find the voltage across the inductor .

Find the inductive impedance image.

image

image can be written in polar form as image.

Find the voltage across the inductor.

image

image

Voltage across the inductor is image

answered Dec 8, 2015 by Lucy Mentor
edited Dec 8, 2015 by Lucy

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