1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In LCR series circuit, an alternating e.m.f. 'e' and current 'i' are given by the equations e=100sin(100t) volt, i=100sin(100t+π3)mA. The average power dissipated in the circuit will be.

A
100W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2.5W
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 2.5WComparing the given e.m.f equation with e=eosinwt We get peak value of e.m.f eo=100 voltThus r.m.s value of e.m.f erms=eo√2=100√2Similarly, on comparing the given current equation with i=iosin(wt+ϕ) We get peak value of current io=100 mAThus r.m.s value of current irms=io√2=100√2 mAAlso we get ϕ=π3Thus average power dissipated <P>=ermsirmscosϕ∴ <P>=100√2.100√2×10−3.12⟹ <P>=2.5W

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Electrical Power in an AC Circuit
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program