Determine the active - reactive and apparent power, Electrical Engineering

Assignment Help:

Determine the active - reactive and apparent power:

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

2212_Determine the active - reactive and apparent power.png

Figure

Solution

 The inductive reactance, XL = 2π fL

= 2π × 60 × 0.2

= 75.408 Ω

Impedance, Z = 15 + j 75.408 Ω

In polar form = 76.885 ∠ 78.749o Ω

Current in the Circuit

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

= 2.861 ∠ - 78.749o Amp (lagging)

Power factor cos φ = cos 78.749o

= 0.195 (lag)

and      sin φ = sin 78.749o = 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.


Related Discussions:- Determine the active - reactive and apparent power

Motor, delta connectino purpose

delta connectino purpose

D/a converter, weighted resistor and r2r ladder d/a converter

weighted resistor and r2r ladder d/a converter

Diodes, Analysis of diode circuits

Analysis of diode circuits

Basic definition of electromagnetism, Q. Basic definition of electromagneti...

Q. Basic definition of electromagnetism? A basic understanding of electromagnetism is essential to the study of electrical engineering because it is the key to the operation of

Compute sending - end voltage current and real power, Q. Athree-phase, 60-H...

Q. Athree-phase, 60-Hz transmission line has a total series impedance of 22.86 62.3°  per phase. It delivers 2.5 MW at 13.8 kV to a load connected to its receiving end. Compute th

Consider four cases of operation and explain jk flip-flop, Q. J and K are t...

Q. J and K are the external inputs to the JKFF shown in Figure. Note that gates 1 and 2 are enabled only when the clock pulse is high. Consider the four cases of operation and expl

Dc motor characteristics, Q. DC Motor Characteristics? We gain an under...

Q. DC Motor Characteristics? We gain an understanding of the speed-torque characteristics of a dc motor from Equations. In shunt motors, the field current can be simply control

Find the current Flow, Q. A charge q(t) = 50+1.0t C ?ows into an electric c...

Q. A charge q(t) = 50+1.0t C ?ows into an electric component. Find the current ?ow.

Sketch the waveform of the circuit , The following four output displays of ...

The following four output displays of an oscilloscope (right hand side, below) show waveforms of a biased diode ac circuit. An example is illustrated on the left hand side. VIN is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd