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 ____________.

पर्याय

• 100 W

• 10 W

• 5 W

• 2.5 W

Answer 1

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"`