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The domestic power supply of 220 V, 50 Hz is connected to a resistor. What is the time taken by the alternating current flowing in the resistor, to change from its maximum value to turns value?A. `5 xx 10^(-3) s`B. `2.5 xx 10^(-3) S`C. `10 xx 10^(-3) S`D. `2.5 xx 10^(3)S` |
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Answer» Correct Answer - D Suppose that at time `t_(1) = 0, i=i_(max)` and `i_(rms) = (i_0)/(sqrt(2)) = i_(0) sin omega t_(2)` `:. Sin omega t_(2) = 1/(sqrt2) :. Omega t_(2) = (pi)/4 :. t_(2) = (pi)/(4 omega)` `:. t_(2) - t_(1) = (pi)/(4 omega)` `=(pi)/(4 xx 2 pi f) = 1/(8 xx 50 ) = 1/400` `:. t_(2)-t_(1) = 2.5 xx 10^(-3) s`. |
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