H61ENA-C2留学生讲解、辅导C++/Python程序设计、讲解Fourier-Series

H61ENA-C2

The University of Nottingham Ningbo China

DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING

AUTUMN SEMESTER 2018-2019

ENGINEERING ANALYSIS

COURSEWORK 2

Answer ALL questions. Please read them carefully

There is a maximum of 40 marks available.

The procedure and the explanation leading to the result constitute part of the

evaluation.

Marks awarded for sections of questions are shown in brackets after the relevant

section.

This Coursework is worth 20% of the full year H61ENA 20 credit module.

Your answers for this coursework should be submitted to the Moodle page of the

course by 16:00, 18

th January 2019

H61ENA-C2

Q1. A voltage signal has the form:

24)

(i) Derive an expression for the positions where this function is equal to zero.

(ii) Derive an expression for the positions of the maxima of this function.

(iii) Calculate how many maxima will occur in the interval 0.1 = 0.1 seconds.

[4 marks]

Q2. A resistor of resistance 10k has a voltage across it described by the function,

Calculate the energy dissipated in the resistor between = 1 second and = 2 seconds.

[5 marks]

Q3. Sketch a frequency representation V(f) of the following voltage signals,

[5 marks]

Q4.

(a) The voltage across and current through an impedance Z are given as

V = (√2 j √3) V and I = j √2 A, respectively. Express both the voltage and current in polar or

exponential form, and then calculate the resulting impedance in Cartesian form using Ohm’s

Law.

[3 marks]

(b) Draw a combination of elements (from resistors, inductors, and/or capacitors) that would have

the resulting impedance.

[2 marks]

Q5. You are given a 100Ω resistor, a selection of capacitors (3.3 nF, 4 nF, 4.7 nF), and an unlimited supply

of inductors. Design a bandpass filter that passes frequencies around f0 = 200 kHz.

Show your calculations, draw the circuit clearly indicating the values of your chosen components, and

explain why high and low frequencies are blocked by your filter.

[5 marks]

H61ENA-C2

Q6. In the circuit shown in Figure below, the sinusoidal input voltage has a peak value of 12V.

(a) Calculate the combined impedance of the 2 Ω resistor and the capacitor ZRC. Then find the total

impedance Ztotal with respect to the voltage source assuming the inductor impedance to be j 3

Ω.

[4 marks]

(b) Calculate the phasor current IS and draw it in a phasor diagram using VS as the reference

phasor.

[3 marks]

(c) Change the value of the inductor impedance j XL so that IS and VS are in phase. Calculate the

new Ztotal,2 and the new current IS,2. If not possible, explain why.

[3 marks]

Q7.

(i) Determine the Fourier-Series coefficients for the periodic voltage signal shown in the graph below.

(ii) Based on these coefficients sketch what the signal would look like if it was passed through a filter

that allowed only frequencies below 2.5 kHz to pass.

[6marks]

END