Electric Circuits and Networks, Ist Edition by Pearson

The procedure is illustrated for the circuit in Fig. 8.5-2.

The first source function 200 sin314t is expressed as 200 cos(314t – 90°). Then, the

first source voltage phasor is 200e

–j90°

in the exponential form, 200∠–90° in the polar form

and 0 – j 200 in the rectangular form.

The second source function 250 sin(314t – 45°) is expressed as 250 cos(314t – 135°).

Then, the second source voltage phasor is 250e

–j135°

in the exponential form, 250∠–135° in

the polar form and –176.77– j176.77 in the rectangular form.

The value of

ω

 314 rad/s. Therefore, the 4 mH inductor will have an impedance of

j1.256 Ω, the 5 mH inductor will have an impedance of j1.57 Ω