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A coil of inductance `0.50H` and resistance `100 Omega` is connected to a `240V`, `50Hz` ac supply. What are the maximum current in the coil and the time lag between voltage maximum and current maximum? |
Answer» Given, Inductance L = 0.50 H Resistance `R = 100 Omega` `V_("rms")=240V, f=50Hz` Using the formula of time lag, `t=(phi)/(omega)` `tan phi = (X_(L))/(omega)=(omega L)/(R )=(2pi fL)/(R )= (2xx3.14xx50xx0.50)/(100)` `phi = tan^(-1)(1.571)=57.5` `phi=(57.5)/(180)pi` rod Time lag `t=(phi)/(omega)=(57.5pi)/(180xx2pi f)` `= (57.5)/(180xx2xx50)` `= 3.19xx10^(-3)S` Thus, the time lag between the voltage maximum and the current maximum is `3.19xx10^(-3)S`. |
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