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7(a) Combine resistors in series and parallel to determine the equivalent resistance between points a and b in the circuit below.

Figure Q7

[5 marks]

7(b) The total resistance of a 100m length of 10mm diameter cylindrical wire is measured at 0.25. What is the resistivity of the wire material? (Include the units of measurement in your calculations and hence confirm the units of resistivity are m)

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[5 marks]

8. In the circuit shown below if Vs = 5V, use Kirchoff’s Laws to determine the currents i1, i2, i3 and the current is. Calculate the power dissipated by the resistors in this circuit. Confirm that the power dissipated by the resistors is the same as the power supplied by the power sources.

Figure Q8

[10 marks]

9. The circuit in Q8 has been modified by adding a short circuit across the 10 Ohm resistor. What is the impact of this short circuit on the circuit?

Please carry out the same analysis: if Vs = 5V, use Kirchoff’s Laws to determine the currents i1, i2, i3 and the current is. Calculate the power dissipated by the resistors in this circuit. Confirm that the power dissipated by the resistors is the same as the power supplied by the power sources.

Figure Q9

[10 marks]

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