I am given the following question:
A circuit is formed by an inductance L in series with a capacitance C. The capacitor leaks current which can be treated as due to a parallel resistance R. The circuit is driven by a supply of angular frequency ω. On the assumption that R ≫ 1/ωC find an expression for the Q of the circuit.
I firstly tried to make use of the definition of Q-factor of the resonant frequency over the FWHM. However, that did not work since it gave an answer of the resonant frequency. I then tried to estimate the energy stored and the energy dissipated over a cycle to find an expression of the Q-factor. However, it was in vain as well since, in my expression, when I limit the frequency to the resonant frequency, it tends to 0 rather than infinity as it should.
How am I supposed to approach this question?
(additionally, may I ask is it appropriate, in this case, to assume that the energy stored is
1/2C$V^2$? I've assumed it in my case)