A coil of inductance 0.50 H and resistance `100Omega` is 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?

Explanation

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 `