Q4. (15 marks)

a) Examine the FFT plot in figure Q4a. Write the function of X(t) as a combination of

sine waves. An example singular sine wave function can be seen here: F(X)=A

sin(B+C) (7 marks)

(x jo apraude

1

0.9

08

0.7

06

0.5

0.4

0.3

02

0.1

0

0

6

Frequency (KHz)

Figure Q4a. FFT plot of a mystery waveform Xit)

4

b) A capacitor has the following properties, what is its capacitance? Include all

workings. (4 marks)

An overlapping size of 3 mm by 4 mm.

0.15mm distance between the conductors

permittivity constant of the dielectric material used, glass, is 7.3

c) A coil of wire has the following properties, what is the inductance? Include all

workings. (4 marks)

10

30 Turns, a relative core permeability of 8000, radius of 2 mm and a total coil length

of 10 cm.