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Question: The r.m.s. value of the alternating e.m.f. E = (8 sinω t + 6 sin 2ω t) V is...

The r.m.s. value of the alternating e.m.f. E = (8 sinω t + 6 sin 2ω t) V is

A

7.05 V

B

14.14 V

C

10 V

D

20 V

Answer

7.05 V

Explanation

Solution

Peak value V0=(8)2+(6)2=10voltV_{0} = \sqrt{(8)^{2} + (6)^{2}} = 10volt so

vrms=102=52=7.05voltv_{rms} = \frac{10}{\sqrt{2}} = 5\sqrt{2} = 7.05volt.