Determine the active - reactive and apparent power:

In the given circuit, determine the active, reactive and apparent power.

Figure

Solution

 The inductive reactance, X_L = 2π fL

= 2π × 60 × 0.2

= 75.408 Ω

Impedance, Z = 15 + j 75.408 Ω

In polar form = 76.885 ∠ 78.749^o Ω

Current in the Circuit

 i =  v/ Z   = 220 ∠ 0^o / 76.885 ∠78.749^o

= 2.861 ∠ - 78.749^o Amp (lagging)

Power factor cos φ = cos 78.749^o

= 0.195 (lag)

and      sin φ = sin 78.749^o = 0.98

Active Power

P = VI cos φ

= 220 × 2.861 × 0.195

= 122.7 Watts

or         P = I ² R

= 122.7 Watts

Reactive Power

Q = VI sin φ

= 220 × 2.861 × 0.98

= 616.83 volt-Amp reactive or           

Q = I ² X

= 617.1 VA

Apparent Power

S = VI

= 220 × 2.861

= 629.42 Volt-amp

or        

= 629.2 Volt-amp.

Posted Date: 2/5/2013 1:00:29 AM | Location : United States

Ask an Expert

Related Discussions:- Determine the active - reactive and apparent power, Assignment Help, Ask Question on Determine the active - reactive and apparent power, Get Answer, Expert's Help, Determine the active - reactive and apparent power Discussions

Write discussion on Determine the active - reactive and apparent power
Your posts are moderated

Write your message here..

Related Questions

Determine the circuit of three transistors dynamic ram cell, a. Determine t... a. Determine the circuit of three transistors dynamic RAM cell and define briefly read and write functions. b. Write short note on factors influencing choice of layer for wiring

Newtrontherome, application of newtron therome application of newtron therome

Compute the speed of the rotor, A 3 phase 60 hertz induction motor has 8 po... A 3 phase 60 hertz induction motor has 8 poles and operates with a slip of .05 for a certain load. Compute in r.p.m. the (a) Speed of the rotor with respect to the stator, (b

Evaluate gm and pm for the asymptotic bode plot, Q. The loop gain of an ele... Q. The loop gain of an elementary feedback control system(see Figure) is given by G(s)·H(s), which is 10/(1+s/2)(1+s/6)(1+s/50). Sketch the asymptotic Bode plot of the loop-gain fu

Khalid, hello, I do have some exams or test samples which are related to co... hello, I do have some exams or test samples which are related to control and procces engineering. Can you have them solved with ilestrastion of all solving steps

Physics= Michelson interferometer, show a schematic diagram of michelson in... show a schematic diagram of michelson interferometer

Explain briefly programmable interval timer 8254, Explain with proper diagr... Explain with proper diagram all the six modes of operation of programmable interval timer 8254. Mode 0: The output in mode 0 is initially low, and will stay low for the perio

Calculate the voltage across the capacitor, In the circuit above, V1 is a d... In the circuit above, V1 is a dc supply which outputs 12V, R1 has a value of 100 Ω and C1 is 100µF. The switch has been left in the position shown for a long time such that there i

Four cells in series, A battery having of 12 cells are divided in three gro... A battery having of 12 cells are divided in three group which each group having of four cells in series. The three groups are joined in parallel. The emf of every cell is 1.5V and

ELECTRIC DRIVES, BLOCK DIAGRAM OF DIGITAL CONTROL OF ELECTRIC DRIVES BLOCK DIAGRAM OF DIGITAL CONTROL OF ELECTRIC DRIVES