4 / 8 67% * 3. (a) An AC current is represented mathematically in the following form (0)-40 sin(3777- (1:6)] mA Determin

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4 8 67 3 A An Ac Current Is Represented Mathematically In The Following Form 0 40 Sin 3777 1 6 Ma Determin 1 (64.51 KiB) Viewed 21 times

4 / 8 67% * 3. (a) An AC current is represented mathematically in the following form (0)-40 sin(3777- (1:6)] mA Determine the following quantities for i(1) (1) the peak current (ii) the effective (or RMS) current (ii) the frequency in Hx (iv) the phase in degree (state the phase is leading or legging) (1 mark) (2 marks) (2 marks) (2 marks) (b) A capacitance has a reactance (X.) of 500 a. It is supplied by a sinusoidal source with an angular velocity (0) of 377radis 6) Find the value of the capacitance (ii) Draw the phasor diagram of the capacitance voltage Ve and current le (Remark: Use le as reference) (2 marks) (2 marks) (c) A 220 V 50 Hza.c. circuit is connected with the loads as shown in Figure el Given that R, 50, R40 , X.-20, and Xe 50 220 V, 50 Hz 1 1 R M R X W Flus) 13 카 (d) 6) Determine the total impedance of the circuit in polar form. (2 marks (H) Determine the supply current of the circuit (b) in polar form. (2 marks) (ii) Calculate the value in polar form mark Briefly explain the reasons for using phasor method in the calculations (6 marks) of electrical quantities in AC circuits (i) State one of the limitation in using the please method for calculating (2 marks) A quantities in clectric circuits