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The circuit shown has i (t) = 10 sin (120 πt). The power (time average power) dissipated in R is
C = 1 πH 60 L = 1 πH 120
R = 1ohm.
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- 25 watts
- 100 watts
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10 watts √2
- 50 watts
- 25 watts
Correct Option: A
Using addition of admittances in parallel,
Y = YL + YR + YC = | + jωC = 1 + j | |
jωL |
The phasor voltage becomes
V = | ||
Y |
Using phasors in polar format,
I = 10 e– jπ / 2
Y = √2 e– jπ / 4
Power (time average power) dissipated in R,
P = | Re | = 25 | ||
2 | R |
υ(t) = | cos | ![]() | ωt - | ![]() | |||
√2 | 4 |
from which, P = (v)2 (t) = 25 watts.