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Electric circuits miscellaneous

  1. 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.

    1. 25 watts
    2. 100 watts
    3. 10
      watts
      2

    4. 50 watts
Correct Option: A

Using addition of admittances in parallel,

Y = YL + YR + YC =
1
+ jωC = 1 + j
jωL

The phasor voltage becomes
V =
1
Y

Using phasors in polar format,
I = 10 e– jπ / 2
Y = √2 e– jπ / 4
Power (time average power) dissipated in R,
P =
1
Re
(VV*)
= 25
2R

υ(t) =
10
cosωt -
24

from which, P = (v)2 (t) = 25 watts.



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