##### Explain how complex waves can be combined together graphically.

Task 2

1) Explain how complex waves can be combined together graphically. Use a diagram to

illustrate your answer.

2) A complex waveform has the following voltage expression:

= () + . ()

Find:

a) The amplitude of the fundamental.

b) The frequency of the fundamental.

c) The order of the harmonic present.

d) The amplitude of the harmonic.

Task 3

1)

For the above circuit calculate:

a) The impedance of the circuit.

b) The voltage across the complete circuit.

c) The voltage across each reactive component.

I = 12A 60Hz

73 mH

28 Ω 225 µF

NPTC Group, School of Engineering, Neath Campus

6

2) A RLC circuit is connected as follows:

Find:

a) The current flowing.

b) The phase angle between the supply voltage and current.

c) The voltage across the inductor coil.

d) The voltage across the capacitor.

e) Draw the phasor diagram.

Task 4

1) Explain the principle of electromagnetic induction. (your answer should include an

explanation of self and mutual induction.)

2) Give two examples of the application of electromagnet induction. (your answer should

include relevant diagrams and an explanation of the operation for each application.)

21 Ω

V = 120v 50Hz

Inductor Coil

91mH

158 µF 27 Ω

NPTC Group, School of Engineering, Neath Campus

7

Task 5

1) Find the total current I of the circuit. Find the power dissipated in the 14 Ω.

2) If a current of 9.25 0o A 50 Hz flows in the circuit, find the voltage across the whole

network and the voltage across Z1.

140 0o V

14 Ω

11 Ω XC = 8 Ω

I

Z2

32Ω

6.7µF