Q 5) [20 marks] Q 5: Part a) We have solved the circuit below using mesh analysis. We have obtained: I, I2, and I3. Calculate the power consumed or supplied by the Resistor R, by the Capacitor C1, by the Inductor L1, by the Voltage source, and by the Current source.
Circuit Parameters are: I = 4.39363.4A, I2 = 1.9712.10A, I3 = 2.36859.8A
R = 4Ω, R2 = 8Ω, R3 = 1Ω, R4 = 10Ω, V(t) = 20V, I(t) = -4jA, XL = 2Ω, Xc1 = 3Ω, Xc2 = 5Ω
YY jXL
R1
R2
R3
-jXc1
R
i(t)
Figure 5: Power in AC Circuits
Q 5: Part b) Design an RLC series circuit which will pass a channel with a center frequency of 5Mrad/s and Bandwidth of 500Krad/s. Please keep in mind that you are the designer and may need to select a value for one of the components in your circuit; R = ?, L = ?, C = ?
V(t) = Vm cos(wt)
Figure 6: Resonance