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The average power by the dependent source is—
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- Supplied by 59.4 W
- Absorbed by 59.4 W
- Supplied by 118.8 W
- Absorbed by 118.8 W
Correct Option: A
The given circuit can be redrawn by applying source transformation
KCL at node A
Ix + | = 1.6 Ix ..............(i) | 8 |
Also, | = Ix | (5 + j2) |
or VA = Ix (5 + j2) + 10 90º ..........................(ii)
from equations (i) and (ii)
Ix + | = 1.6 Ix | 8 |
or 8Ix + Ix (5 + j2) – 12.8 Ix = – 10 90º
or Ix (0.2 + j2) = – 10 90º
or Ix = | = | |||
0.2 + j2 | 2.01 84.23° |
or Ix = – 4.975 5.77°
VA = (1.6 Ix – Ix) × 8
or VA = .6 Ix × 8
or VA = 4.8 Ix
or VA = – 23.88 V
Now, average power = | VA. Ix | 2 |
= | (– 23.88) × (– 4.975) | 2 |
= 59.40 W
Positive power means supplied by the dependent source.