Content Writing

Part 2

Question 1:

Find the Mesh currents I1, I2 and I3 for the circuit in Figure 1. Find also the voltage VR1 across R1, VR2 across R2, and IR6 through R6. Choose Vx and Vy to be the last two non-zero digits of your SID, respectively. {20 marks}

Figure 1

Use Multisim to design the circuit. Verify the calculated values of currents and voltages. Insert a screenshot of your designed Multisim circuit and submit the Multisim file on Moodle. {10 marks}

Question 2

Assume that the transformer shown below has 360 turns of wire on the primary and 60 turns of wire on the secondary. If a 120 volts are connected to the primary winding:

What is the voltage of the secondary winding?

What is the type of the transformer (step-up/ down) and why?

If the load connected to the secondary winding has impedance of 6 ohms. Calculate the current flow in the secondary and primary windings.

Calculate the power-in and the power-out.

Figure 2

{10 marks}

Question 3:

A series RLC circuit contains a resistance R, an inductor L and a capacitor C. It is driven by an AC voltage source: v(t)= 220 sin(2πft). The value of R, C and L are given in Table 1 against the last digit of your student ID. The value of frequency f is given in Table 1 against the second last digit of your student ID, Choose π=3.14. {60 marks}

Calculate {10 marks}:

The individual impedances (Resistive, Inductive and Capacitive) and the total impedance of the circuit.

The circuit RMS current, the real power and reactive power supplied by the source and power factor of the circuit. Comment on the results.

Simulate the circuit in Multisim and measure the above calculated values. Compare the measurements with the calculated values. {10 marks}

Calculate the resonance frequency (fr) of the circuit and then calculate the following under resonant condition: {10 marks}

The circuit RMS current and the voltage across each component.

The energy stored in the circuit, the true circuit power and the power dissipation at the cut-off frequency.

The ratio of the voltage across the individual branches to the voltage across the circuit. Explain the concept of Q factor.

Simulate the circuit in Multisim and show a plot of I, VR, VL & VC versus frequency within the frequency ranges: fr ± 2000 Hz. Explain briefly the obtained graph. {10 marks}

Using a software tool, plot R, XL & Xc versus frequency (fr ± 2000 Hz). Explain briefly the obtained graph. {10 marks}

Explain how you would use this circuit as a band pass filter and plot the frequency response in dB on a semi-log graph using Multisim or any software of your choice. {10 marks}

Ignore the multisim questions or any involving software.

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