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Question
In LCR series circuit, an alternating e.m.f. 'e' and current 'i' are given by the equations e = 100 sin (100 t) volt,
`"i" = 100 "sin" (100"t" + pi/3)"mA"`.
The average power dissipated in the circuit will be ____________.
Options
100 W
10 W
5 W
2.5 W
MCQ
Fill in the Blanks
Solution
In LCR series circuit, an alternating e.m.f. 'e' and current 'i' are given by the equations e = 100 sin (100 t) volt,
`"i" = 100 "sin" (100"t" + pi/3)"mA"`.
The average power dissipated in the circuit will be 2.5 W.
Explanation:
`"e"_0 = 100 "V",`
`"i"_0 = 100 "mA" = 0.1 "A"`
`"P" = ("e"_0 "i"_0)/2 ."cos" pi/3`
`= (100 xx 0.1)/2. 1/2`
`= 10/4`
`= 2.5 "W"`
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Power in AC Circuit
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