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Network Elements and the Concept of Circuit

  1. The complex power in the circuit shown below will be—


    1. 16.5 – 6.3°
    2. 16.5 6.3°
    3. 33 – 6.3°
    4. 33 + 6.3°
Correct Option: A

Complex power is given by the relation
P = I V
given V = 10 sin (2t – 40°)V
for the given circuit

10 sin (2t – 40°) volt

Z eq = 2 + 2 +1 || (1 + 5s)
5s

= 3.02 ∠ 6.3° at ω = 2
I =
V
=
10 sin (2t – 40°)

Zeq3.02 – 6.3°

I = 3.3 sin (2t – 46.3°)
so, complex power
P = VI =
Vm Im
cos φ
2

P =
10 × 3.3
∠ – 6.3°
2

or P = 16.5 ∠ – 6.3° watts



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