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A coil of inductance 0.50 H and resistance 100Omegais connected to a 240 V, 50 Hz ac supply. a. What is the maximum current in the coil? . b. What is the time lag between the voltage maximum and the current maximum? |
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Answer» Solution :a. `I_(rms) = (V_(rms))/(sqrt(R^2+ (OMEGA L)^2)) = (240 SQRT2)/(sqrt((100)^2+ (2pi xx 50 xx 0.5)^2)) = 1.82 A` b. ` tan PHI = (2pi V L)/( R) = (2pi xx 50 xx 0.5)/(100)= 1.571` `phi = tan^(-1) (1.571) = 57.5^@` Time lag ` = (T xx 57.5^@)/(360^@)= (2pi)/(omega) xx (57.5)/(360) = (2pi xx 57.5)/(2pi xx 50 xx 360) = 3.2 ms ` |
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