1i) What is the total potential difference V across all three capacitors in terms on V1, V2 and V3?
ii) Using your answers to (ii) and (iii) obtain an expression for c in terms of C1, C2 and C3. (1 mark)
iii) What is the combined capacitance of a 10 microfarad, 20 microfarad capacitor and a 30 microfarad capacitor connected in series? (1 mark)
iv) Draw and explain a circuit which can be used for charging and discharging a capacitor through a resistor. Hence or otherwise write equations for charge for both cases. (3 marks)
2a) Briefly explain the following terms and write their units
i) Potential Difference
ii) Resistance
iii) Resistivity
iv) Conductance
v) Conductivity
vi) Current density
3a) A 150W light bulb is connected to a 120V line. What is the current drawn from the line? What is the resistance if the bulb whilst it is burning? How much energy is consumed if the light is kept on for 6 hours? What is the cost of this energy at 8 shillings/kWh? (5 marks)
b) i) State Kirchhoff Laws (2 marks)
ii) Consider the circuit shown where R1 = 20 ohms, R2 = 40 ohms and V1 = 20V. Find the current through R1 (7 marks)
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