Given the electrical circuit below find the voltage across t

Given the electrical circuit below, find the voltage across the capacitor.

Solution

Since L1 and L2 in series.,

L = L1 + L2

Now, in terms of impedance Capacitance \'C\' and \'L\' are in parallel,

So, Z_LC = (Z_L*Z_C) / (Z_L + Z_C)

Z_{Total =} Z_R + Z_LC

Current through the circuit, I = V_in / Z_Total

Current through the capacitor I_C = (I*Z_L) / Z_LC

Voltage across capacitor is Vc = IcZc [ Here Zc = 1/ (2.pi.f. C) , Z_L = 2.pi.f. L    , f = Frequency ]