Page 376 - Basic Electrical Engineering

j3) Ω, Z = (10 – j7) Ω and Z = (6 + j5) Ω. If the voltage applied to the
C
B
circuit is 200 V at 50 Hz, calculate (a) current I , I , and I ; (b) the power
B
C
A
factor for the whole circuit. Draw also the phasor diagram.
Solution:

Figure 3.62

Z = (4 + j3) = 5 ∠36.9° Ω
A

Z = (10 − j7) = 12.2 ∠ −35° Ω
B

Z = (6 + j5) = 7.8 ∠39.8° Ω
C

Z + Z = 4 + j3 + 10 − j7
B
A

= 14 − j4

= 14.56∠ − 16°

= 4.19 ∠ 17.9°

= 4.19 (cos 17.9° + j sin 17.9°)