1 Series RLC Resonant Circuit V s = 10 Vrms, R = 10 , L = 100 mH, C = 10  F VsVs R L C I + V R - + V L - +VC-+VC-   (varied) Assignment #1: Part 2

2 Find: (ii) The magnitude of the current at  o (iii) The real power P at  o (iv) The expression for i(t) at  o (v) The expression for v L (t) and v C (t) at  o (i)The impedance of the circuit at  o (vii) The current at  1 in polar form (viii) The real power P at  1 (ix) The expression for i(t) at  1 (x) The expression for v C (t), v L (t) and v C (t)+v L (t) at  1 (vi) The impedance of the circuit at  1 in polar form

3 (xii) The current at  2 in polar form (xiii) The real power P at  2 (xiv) The expression for i(t) at  2 (xv) The expressions for v L (t), v C (t) and v L (t)+v C (t) at  2 (xi) The impedance of the circuit at  2 in polar form (xvi) Draw the voltage phasor diagram at  o (xvii) Draw the voltage phasor diagram at  1 (xviii) Draw the voltage phasor diagram at  2 (ixx) Draw the waveforms of v C (t), v L (t) and v C (t)+v L (t) at  o (xx) Draw the waveforms of v C (t), v L (t) and v C (t)+v L (t) at  1 (xxi) Draw the waveforms of v L (t), v C (t) and v L (t)+v C (t) at  2

4 (xxii) The resonant frequency, f o (xxiii) The lower cut-off frequency, f 1 (xxiv) The upper cut-off frequency, f 2 (xxv) The bandwidth, BW in Hertz (xxvi) The Quality factor, Q