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If the equation of sinusoidal current is 141.4 sin(314t). Find the RMS value and frequency of the current.
Question

If the equation of sinusoidal current is 141.4 sin(314t). Find the RMS value and frequency of the current.

A.

400 A and 200 Hz

B.

100 A and 50 Hz

C.

300 A and 150 Hz

D.

200 A and 100 Hz

Correct option is B

i=141.4sin(314t)i=Imsin(ωt)Im2=141.41.414Irms=100 Aω=2πff=ω2π=3142×3.14f=50 Hzi = 141.4 \sin (314t) \\i = I_m \sin (\omega t) \\\frac{I_m}{\sqrt{2}} = \frac{141.4}{1.414} \\I_{\text{rms}} = 100 \text{ A} \\\omega = 2\pi f \\f = \frac{\omega}{2\pi} = \frac{314}{2 \times 3.14} \\f = 50 \text{ Hz}​​

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