A sinusoidal ac has a frequency of 50 Hz and a peak value of 20 A. Starting from zero, how long will it take the current to reach 10 A for the first time?

Question

Question

This question was previously asked in

KVS TGT WET (Work Experience Teacher) 8 Jan 2017 Official Paper

Answer 1

Concept

:The time period(T) is given by

T=1/f

Where;

f → frequency

Expression of Current is given by;

I = I_msin(ωt)

Where;

ω =2πf → angular frequency

I_m = Maximum current

Calculation:

Given;

f = 50 Hz

T = 1/50 s

Time required to reach zero to 10A for the first time.

I = Imsin(ωt)

⇒ 10 = 20sin(ωt)

⇒ ωt = sin^-1(10/20)

⇒ t = (π/6)/ω = (π/6)/100π

∴ I = 1/600 sec

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