ABSTRACT
Plot the two voltages on the same axes to scales of 1 cm = 50 volts and 1 cm = π
6 rad. Obtain a sinu-
soidal expression for the resultant υ1 + υ2 in the form R sin(ωt +α): (a) by adding ordinates at intervals and (b) by calculation. (13)
3. Solve the quadratic equation x2 − 2x + 5 = 0 and show the roots on an Argand diagram. (8)
4. If Z1 = 2 + j5, Z2 = 1 − j3 and Z3 = 4 − j determine, in both Cartesian and polar forms, the value of:
Z1Z2 Z1 + Z2 + Z3, correct to 2 decimal places. (8)
5. Determine in both polar and rectangular forms: (a) [3.2 − j4.8]5 (b) √−1 − j3 (10)