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#### Answer all questions.

(ii) The required magnetising force; (5 marks)

(iii) The current required in the coil. (5 marks)

Flux density, B, tesla |
1 |
1.2 |
1.4 |

Magnetising force, H, ampere turns/metre |
450 |
700 |
1350 |

Table Q1a

(ii) The total charge; (5 marks)

(iii) The total capacitance; (5 marks)

(iv) If the capacitors are now connected in series, what would be the total capacitance? (5 marks)

(c) A capacitor is to be manufactured to have a capacitance value of 60μF. The dielectric to be used has a relative permittivity value of 50 and a maximum electric stress rating of 100 kV/cm. Calculate the minimum surface area of each plate of the capacitor for capacitor voltage ratings of 30V. (5 marks)

2. Resonance & Power in AC Circuits

Figure Q2a

Calculate,

(i) The resonant frequency; (3 marks)

(ii) The current at resonance; (3 marks)

(iii) The inductive reactance at resonance XL; (3 marks)

(iv) The voltage across the inductor and capacitor at resonance; (3 marks)

(v)The quality factor and the bandwidth of the circuit. (3 marks)

(b) A light bulb (which can be assumed to be purely resistive) is rated at 80 W and is plugged into a mains power supply at 230V, 50Hz AC.

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