Answer to Question #142976 in Electricity and Magnetism for Maram

Question #142976
The equation for an alternating current is given by i - 77 sin 314 t. Find the peak value, frequency, time period and instantaneous value at t-2 ms
1
Expert's answer
2020-11-10T07:02:20-0500

Let us write the equation for alternating current in general form

i(t)=ImSin(2πft)i(t)=I_m \cdot Sin{(2 \pi f \cdot t)}

Then

Peak current Im=77AI_m=77A

Frequency f=3142π=31423.14=501sf=\frac{314}{2\pi}=\frac{314}{2\cdot 3.14}=50 \frac{1}{s}

Time period T=1f=150=0.02sT=\frac{1}{f}=\frac{1}{50}=0.02s

Instantaneous value at t=2 ms.

i(0.002)=77Sin(3140.002)=45.24Ai(0.002)=77 \cdot Sin{(314 \cdot 0.002)}=45.24A


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