EGR203 Electric and Electronic Circuits Assignment 8

  1. Let z1 = 11 - 22j,
    z2 = 9 + 14j,
    z3 = 10 - 24j, and
    z4 = 25 + 17j
    . Find
    1. zp = 1/(1/z1 + 1/z2)
    2. zs = z3 + z4
    3. vout = zs/(zs+zp) vin, where vin = 140 V at 40 degrees (that is, 140cos(ωt+40 deg))

  2. Let v(t) = 15 cos(2400t)+ 20 sin(2400t). Express v(t) in the form Vmcos(ωt-φ). Find the frequency of the voltage signal, the peak voltage (not peak-to-peak), the rms voltage, and the phase angle in degrees. Hint: Convert cartesian (15, 20) to polar coordinates.

  3. Find the current i in the circuit below

    R1 (Ω)R2 (Ω)R3 (Ω) R4 (Ω) gm (S) VS (volts)
    5012003304400.25.6

  4. Using mesh current analysis, find the unknown voltages in the circuit below:

    R1 (Ω)R2 (Ω)R3 (Ω) R4 (Ω) R5 (Ω)R6 (Ω) Va (volts) Vb (volts)
    1020201030102010

    Verify your answers by simulating the circuit in Multisim. Show a screen capture annotated with your name.

  5. Use mesh analysis in the circuit below to solve for the currents in the three meshes.

    R1 R1 R1 R1R1vsvz
    1 Ω2 Ω4 Ω4 Ω4 Ω10 V 2 vx

  6. For the following circuit, assume that the Thévenin voltage, VT = 10 volts relative to terminals ab. Determine (a) the Thévenin resistance, RT, (b) the value of RL that allows maximum power to be delivered to the load, and (c) the value of the maximum power that can be delivered to the load.

    Let Va = Vb = 10 V, Is = 1 A, and all resistors equal to 10 Ω

  7. Determine Vx and I2 for the following circuit.

    Let Va = 125 V, Vb = 150 V, and all resistors equal to 20 Ω.


Maintained by John Loomis, last updated 21 June 2014