Question

series circuit with a resistance of 100ohm is connected to an ac source of 200 V and angular frequency
300 rad/s. When only capacitor is removed, the current lags behind the voltage by 60°. When only the
inductor is removed the current leads the voltage by 60°. The average power dissipated is
(1) 50 W
(2) 100 W
(3) 200 W
(4) 400 W

Answer 1

Answer:

Here, R=100Ω,Eυ=200 volt, ω=300rad/s

When capacitor is removed,

tanϕ=XLR=tan60∘=3–√

XL=3–√R

Z=(R2+(XL−XC)2)

=1002+0−−−−−−−√=100Ω

Iυ=EυZ=200100=2A

P=EυIυcosϕ=EυIυ(RZ)

=(200)(2)×100100=400W

Explanation:

Answer 2

A LCR series circuit with 100 ohm resistance is connected to an ac source of 200 V and angular frequency of 300 rad/s. When only the capacitance is removed, the current lags behind the voltage by 60 degrees. When only the inductor is removed, the current leads the voltage by 60 degrees.
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