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Question: If an alternating voltage is represented as \(E = 141\sin(628t),\) then the rms value of the voltage...

If an alternating voltage is represented as E=141sin(628t),E = 141\sin(628t), then the rms value of the voltage and the frequency are respectively

A

141V,628Hz141V,628Hz

B

100V,50Hz100V,50Hz

C

100V,100Hz100V,100Hz

D

141V,100Hz141V,100Hz

Answer

100V,100Hz100V,100Hz

Explanation

Solution

E=141sin(628t),E = 141\sin(628t),

Erms=E02=1411.41=100VE_{rms} = \frac{E_{0}}{\sqrt{2}} = \frac{141}{1.41} = 100V and 2πf=6282\pi f = 628

f=100Hzf = 100Hz