An inductive coil of resistance 10 ohms and inductance 0.1H is connected in parallel with 150μf capacitor to a variable frequency at which 200V supply find the resonance at which the total current taken from the supply is in phase with supply is in phase with supply voltage also find value of this current. -

Given:

Resonant frequency,

$f_r=\dfrac{1}{2 \pi}\sqrt{\dfrac{1}{LC}-\dfrac{R^2}{L^2}}=\dfrac{1}{2 \pi}\sqrt{\dfrac{1}{0.1 \times150\times10^{-6}}}-\dfrac{10^2}{(0.1)^2} \\ f_r=37.9 Hz$ …