Design and Analysis of DC and AC Circuits - Science and Maths Assignment Help

Assignment Task

Questions on design and analysis of DC and AC circuits

Q1.

a. Find the Thevenin and Norton equivalent at the terminals AB of the circuit shown in Figure 1.

b. In the circuit of Figure 2, find the voltage V_in that produces the output voltage V_out:

c. Consider the circuit shown in Figure 3.

1. Find the power factor of the circuit.
2. Using the power factor, find the power dissipated in the resistor.
3. Find again the power dissipated in the resistor, but this time using the value of the current and the voltage.
4. Use the concept of complex power to find the power triangle for the circuit.

d. Find the transfer functions V_in/V_out (gain and phase) of the circuit shown in Figure 4 and sketch them as Bode plots (you can use Matlab or Excel to do this accurately). What kind of filter is the circuit?

Q2.

A. Figure 5 shows a buck converter circuit.

A 5 V DC voltage is applied to the input. The transistor switch is connected to the pulled waveform shown in Figure 5. State the frequency and duty cycle D of this waveform and sketch the output of the buck converter in function of time, showing appropriate labels on the x and y axes of your plot.

B. A galvanometer has an internal resistance of 50 and achieves full-scale deflection (FSD) when a current of 500pA is passed through.

a. The galvanometer is required to allow voltages of up to 100V to be measured. Design a suitable circuit, report it into a proper graph, and calculate the value of any additional components needed.

b. The same galvanometer is required to measure currents up to WA. Design a suitable circuit, report it into a proper graph, and calculate the value of any additional components needed.

c. The circuit used in part b is now to be used in conjunction with a current transformer to allow currents up to 1000A to be measured on an 33kV line. Design a suitable circuit, sketch the circuit, and calculate the turns ratio of the current transformer.

d. What would happen if the galvanometer is removed from the circuit in the previous question? Support your answer with appropriate calculations.

C. A thermal chamber for high-temperature applications has a rated input voltage of 400V AC. The supply voltage to the site where the thermal chamber is located is 33kV AC. A transformer is needed to step-down the input voltage to that required by the furnace.

a. Calculate the required turns ratio N of a transformer to achieve this voltage step-down.

b. If the thermal chamber draws a current up to 16 A, compute the current drawn from the input supply to the site, assuming an ideal transformer.

c. If the transformer is 97?ficient, calculate the power needed to be supplied to the primary side of the transformer.

D. Electricity is transmitted and distributed in the UK at different voltages.

a) State these voltages.

b) For each of these voltages, calculate the current flowing if 100 MW of power is being delivered.

c) By means of proper calculations of ohmic losses, explain why it is desirable to minimise current in electricity transmission/distribution and how this can be achieved for a given power.

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