An inductive coil having a resistance of 20Ω and inductance of 0.2H I connected in parallel with a 20μF capacity with variable frequency and 230V supply. Find the frequency at which the total current drawn from supply is in phase with the supply voltage. Find the voltage of the current and the impedance of the circuit at this frequency. -

Mumbai University > FE > Sem 1 > Basic Electrical and Electronics Engineering

Marks: 7 M

Year: Dec 2014

$F_r=\dfrac{1}{2\pi}\sqrt{\dfrac{1}{LC}}-\dfrac{R^2}{L^2} \\ =\dfrac{1}{2\pi}\sqrt{\dfrac{1}{0.2\times20\times10^{-6}}-\dfrac{20^2}{0.2^2}} \\ =77.9697Hz \\ Y_r=Y_1+Y_2 \\ =Z^{-1}_1+Z^{-1}_2$