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Q2. A non-linear element is connected in series with a resistor across 240 V d.c. supply.

The non-linear element is governed by the la I = kv². When the resistor is set to 10W the supply current is 12 A.

(a) Calculate EACH of the following:

(i) The resistance value required to reduce the current to 8 A:

(ii) The resistance of the nonlinear element when the current is 8A.

(b) The supply voltage is reduced to 159 V. calculate the power dissipated in the non-linear element if the series resistor is reset to 10W.