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Q1. (a) A coil of resistance R ohms and inductance L henrys is connected in series with a capacitor of C farads across ac supply of v volts. Determine EACH of the following for the circuit:

(i) The impedance Z ohms, in complex cartesian form, given that

Z = R + j (ωL - 1/ωC)

where R = 4 ohms, ω = 100 π, L = 0.04 henrys and C = 150 × 10^{- 6} farads. (4)

(ii) The current, i amps, in polar forms given that i = v/Z and v = 100 volts. (6)

(b) The characteristic impedance, Z, of a transmission line is given by Z = √((R + j ωL)/(G + j ω C))

Determine the condition, in terms of R, L, G and C, that the impedance will be real. (6)