EGR 203 Electric and Electronic Circuits Assignment 10

1. If the current through and the voltage across a component in an electric circuit are i(t) = 17 cos(200π t - π/12) mA
   v(t) = 3.5 cos(200π t - 1.309) V determine (use the AC form of Ohm's Law and the definitions of impedance)
   1. the complex impedance
   2. whether the component is resistive, inductive, or capacitive. Assume there may be a resistor in series with either a capacitor or an inductor.
   3. the value of the component in ohms and either farads or henries.

2. Given the following circuit with C = 31.25 nF, R = 2 kΩ, and L = 500 mH. Find the steady-state (AC) expression for i and v_out if v_g = 64 cos(8000t) V.

   

3. Use Multisim (AC analysis) to plot the AC response of the above circuit as a function of frequency between 100 Hz and 10kHz.

4. Given the following circuit with C = 0.4 µF, R = 400 Ω, and L = 40 mH. Find the steady-state (AC) expression for i and v_out if v_g = 750 cos(5000t) mV.

   

5. Use Multsim (AC analysis) to plot the AC response of the above circuit as a function of frequency between 100 Hz and 10 kHz.

6. Given the following circuit with C = -j22 Ω, R = 24 Ω, and L = j40 Ω. Find the Thévenin equivalent circuit with respect to terminals a and b if v_g = 75Ð0° V.

   

7. Given C = 0.4 µF, L = 10 mH, and R = 330 ohms. For the following, calculate actual frequency (Hz), not angular frequency (radians/sec).
   1. Find the frequency at which the phase shift of the RC circuit is -45 degrees.
   2. Find the frequency at which the phase shift of the RL circuit is 45 degrees.
   3. Find the resonant frequency (f_r) for an R-(LC) circuit.
   4. Find the bandwidth B = f_r / Q and quality factor Q = R sqrt(C/L). What are the units of Q?

Maintained by John Loomis, last updated 28 November 2009