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Q2). (a) The sag, d metres, in a cable of length, L metres, when suspended between two points and subject to a tension, T Newtons, may be determined by the formula:

d²-T/w d +  1/4 L²= 0

where w is the weight in Newtons per metre run.

Calculate, correct to two decimal places, the sag in the cable when T = 2000 N, L = 50 m and the total weight of the cable = 250 N.(8)

(b)The current I amperes in an A.C. circuit is given by the formula

I=  V/√(R²+ (X_L- X_C)² )

(i) Determine I when V = 100, R = 12 and XL - XC = 16.             (2)

(ii) Transpose the formula to make XC the subject. (6)