I am facing trouble with finding out the resonant angular frequency of the above circuit.I know that at resonance impedence of the circuit is minimum.I am new to this topic and I tried to find out the impedence of each branch and then to get the minimum,but I failed..
I tried differentiation after this but it is not giving the correct answer.
tAny way to solve such questions will be highly appreciated.Thanks.
Best Answer
Impedance of 2 parallel (//) branches is easier to add the inverse or admittance,Y
\$Z(\omega )=(R+j\omega L) // (1 / j\omega C) \$
or \$Y(\omega )=\frac{1}{ Z(\omega )}=\frac{1}{R+j\omega L} + \frac{j\omega C}{1} \$
to find resonance, differentiate \$df(\omega )/d(\omega )=0\$
if \$Y(\omega) = \frac{1+j\omega C(R+j\omega L)}{R+j\omega L} \$, then \$Y'(\omega) =... \$