# A 50 Hz current has an amplitude of 25 A. The rate of change of current at t = 0.005 after i = 0 and is increasing is ____________

A 50 Hz current has an amplitude of 25 A. The rate of change of current at t = 0.005 after i = 0 and is increasing is ____________

(a) 2221.44 A/s

(b) 0

(c) -2221.44 A/s

(d) -3141.6 A/s

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I would like to ask this question from Series-Parallel Interconnection of Two Port Network topic in section Two-Port Networks of Network Theory

Select the correct answer from above options

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by (1.3m points)
Correct answer is (b) 0

The explanation: The current i (t) is given by,

i = 25 sin 314.16 t and \frac{di}{dt}

= 250 X 314.16 cos⁡ωt

Now, at t = 0.005, I = 25 X 314.16 cos (314.16 X 0.005)

= 0.