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Network Elements and the Concept of Circuit

  1. The average power by the dependent source is—


    1. Supplied by 59.4 W
    2. Absorbed by 59.4 W
    3. Supplied by 118.8 W
    4. Absorbed by 118.8 W
Correct Option: A


The given circuit can be redrawn by applying source transformation

KCL at node A

Ix +
VA
= 1.6 Ix ..............(i)
8

Also,
VA – 10 90°
= Ix
(5 + j2)

or VA = Ix (5 + j2) + 10 90º ..........................(ii)
from equations (i) and (ii)
Ix +
Ix (5 + j2) + 10 90°
= 1.6 Ix
8

or 8Ix + Ix (5 + j2) – 12.8 Ix = – 10 90º
or Ix (0.2 + j2) = – 10 90º
or Ix =
–10 90°
=
–10 90°
0.2 + j22.01 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 =
1
VA. Ix
2

=
1
(– 23.88) × (– 4.975)
2

= 59.40 W
Positive power means supplied by the dependent source.



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