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Academics – Mathematics : 2020/DEC/01
Question

Q1. (a)Forces F1 = 3x - j7 , F2 = 2 - j5y , F3 = - 19 + j2x and F4 = - 2y + j3 are

represented by complex numbers in rectangular form.

Given that the four forces are in equilibrium, determine the value of EACH of the real numbers in x and y. (8)

(b) The impedance, z, of an electronic circuit is given by z = 5 - j12and the current i , is given by i = 10 - j.

Determine, in polar form, the voltage, v, across the impedance, given that v = iz. (8)

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