= Is, IC =-= Assume that the RLC circuits shown below are in sinusoidal steady-state, and that w = wo (the resonant frequency). Show that, in the parallel RLC circuit, IR - IL and: |Ic|/|IR| = |IL|/|IR| = Q. In the series RLC circuit, show that: VR = Vs, VC = −VL and: |Vc|/|VR| = |VL|/|VR| = Q. Vc + + Vs R L VL L Is R Refer to the two RLC circuits in the previous problem. Assume, as before, that they are in sinusoidal steady-state, and that: w = wo. Consider the parallel RLC circuit first. • Obtain an expression, as a function of t, of the energy stored in the capacitor and the inductor at any give time, and show that their sum is constant. • Compute the total energy dissipated in the resistor over one period To (Hint: energy dissipated = average power dissipated times To.) • Relate the ratio of those two quantities to the circuit Q. Repeat the same procedure for the series RLC circuit. = 2π/wo.