A power circuit is shown below. The active and reactive powers of the 3 loads and their types are as given. The magnitude of the source current is I= 20 A (Rms). a) Calculate the average power PR received by the resistor and calculate the value of the unknown resistance R. b) What is the power factor pf, seen by the source L = 20 A (Rms) %3D Load 3 1 kWatt 1 KVAR 1 kWatt 5 KVAR Capacitive R Load 1 V = 500 20° 5 kWatt 10 KVAR Inductive Volt (Rms) Load 2 Inductive

2. A voltage applied to a load is V=208 4 20°V and current through load is I=10 a–10° A. Find the following [SO 1] o complex power consumed by load o Is the load inductive or capacitive? o the power factor of the load o the reactive power consumed or generated by the load. o Does the load consume or supply reactive power?

Two loads connected in parallel take a total of 2.4 kW with a lag fp of 0.8, from a line at 120 V rms and 60 Hz. of the loads absorbs 1.5kW with lagged fp of 0.707. Deter- mine: a) the fp of the second charge, b) the element in parallel required to correct the fp of the two charges and convert it to behind 0.9.

The variable resistor R in the circuit is adjusted until it absorbs the maximum average power. * The value of the load resistance that maximize the power transfer is... ohms 32 -j22 H j12 4/0° A R. 4.3 O 1.23 O 2.58 O 5.94 none of the above O 7.81 O

The three parallel loads in the circuit shown in (Eigure 1) can be described as follows: Load L₁ is absorbing an average power of 24 kW and reactive power of 18 kVAR, Load L₂ is absorbing an average power of 48 kW and generating reactive power of 30 kVAR, Load L3 is a 60 2 resistor in parallel with an inductor whose reactance is 480 2. Suppose that V. 1400/0° V (rms). Figure j10 Ω + V. Li L2 1 of 1 L3