In an ac circuit, the instantaneous values of e.m.f. and current are e = 200 sin 314 t volt and $i = s i n (314 t + \frac{π}{3})$ ampere. The average power consumed in watt is

200

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 50
$V_{r m s} = \frac{200}{\sqrt{2}}, i_{r m s} = \frac{1}{\sqrt{2}} ∴ P = V_{r m s} i_{r m s} c o s ϕ = \frac{200}{\sqrt{2}} \frac{1}{\sqrt{2}} c o s \frac{π}{3} = 50 w a t t$

Suggest Corrections

Similar questions

i = s i n (314 t + \frac{π}{3})

E = 200 s i n 314 t

I = s i n (314 t + π / 3)

e = 200 sin 314 t

I = sin (314 t + \frac{π}{3})

E = 200 s i n (314 t) V a n d I = s i n (314 t + \frac{π}{3}) A

W

i = \frac{1}{\sqrt{2}} sin (100 π t)

e = \frac{1}{\sqrt{2}} sin (100 π t + π / 3)

Join BYJU'S Learning Program