QUESTION EIGHT (a) Non-reactive loads of \( 10 \mathrm{KW}, 8 \mathrm{KW} \) and 5 KW are connected between the neutral and the red, yellow and blue phases respectively of a 3-phase, 4-wire system. The line voltage is 400 V . Solve: (i) The current in each line and (ii) The current in the neutral wire. [12 marks] (b) A 3-phase motor load has a power factor of 0.397 lagging. Two wattmeters connected to measure power show the input as 30KW. Find the reading on each wattmeter. [8 marks]
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Step 1: Identify the given information for part (a): - Non-reactive loads: \( P_R = 10 \, \text{KW} \), \( P_Y = 8 \, \text{KW} \), \( P_B = 5 \, \text{KW} \) - Line voltage \( V_L = 400 \, \text{V} \) - System: 3-phase, 4-wire Show more…
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3. A 400 V, 3-ph 4 wire star connected system supplies 3 resistive loads of 15 KW, 20 KW and 25 KW in the Red, Yellow and Blue phases respectively. Determine the current flowing in each of the four conductors[1]. 4. Eight Kilo-Watt (8 KW) is found by the two watt-meter method to be the power input to a 3-ph motor. Determine the reading of each watt-meter if the power factor of the system is 0.85 [1]. 5. Three identical coils each of resistance 30 ̐ and capacitance 60
Adi S.
As shown in Fig. $12.65,$ a three-phase four-wire line with a phase voltage of $120 \mathrm{V}$ supplies a balanced motor load at $260 \mathrm{kVA}$ at 0.85 pf lagging. The motor load is connected to the three main lines marked $a, b,$ and $c .$ In addition, incandescent lamps (unity pf) are connected as follows: $24 \mathrm{kW}$ from line $a$ to the neutral, $15 \mathrm{kW}$ from line $b$ to the neutral, and $9 \mathrm{kW}$ from line $a$ to the neutral (a) If three wattmeters are arranged to measure the power in each line, calculate the reading of each meter (b) Find the current in the neutral line.
26. Three inductive loads, each of resistance 4 and reactance 8, are connected in delta. When connected to a 3-phase supply, the loads consume 1.7 kW. Calculate: a) The phase angle b) The power factor of the load c) The phase voltage d) The line voltage e) The phase current.
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