Question 4 a) An aluminum wire 7.5m long is connected in parallel with a copper wire...

Question 4
a) An aluminum wire 7.5m long is connected in parallel with a copper wire 6m long. When a current of 5A is passed through the combination, it is found that the current in the aluminium wire is 3A. If the diameter of the aluminium wire is 1mm, determine the diameter of the copper wire. Assume the resistivity of copper to be 0.017μΩm and that of aluminium to be 0.028 μΩm.
b) Two capacitors A and B are connected in series across a 100V supply and it is observed that the p.ds across them 60V and 40V respectively. A capacitor of 2μF capacitance is now connected in parallel with A and the p.d across B rises to 90V. Calculate the capacitance of A and B in microfarads. EV[8marks]
c) Give four 1Ω resistors,state how they must be connected to give an overall resistance of (a) ¼ Ω (b) 1Ω (c) 4/3Ω (d) 5/2 Ω, all four resistors being connected

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