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

Emf, State and explain three factors upon which the induced electromotive f...

State and explain three factors upon which the induced electromotive force depends

Senior Design Robotic Arm Project, This is basically a simple senior design...

This is basically a simple senior design project where the professors are giving us a limited budget and providing us with an Arduino Board. (We can use rasberry pi, beagle bone, e

Digital ecectronics, DISIGN A FENITE STATE MACHINE TO DETECT THE SEQUENCE 1...

DISIGN A FENITE STATE MACHINE TO DETECT THE SEQUENCE 10110

Rotating magnetic fields, When a machine has more than two poles, only a si...

When a machine has more than two poles, only a single pair of poles needs to be considered because the electric, magnetic, and mechanical conditions associated with every other pol

What is balanced budget, Q. What is Balanced Budget? Balanced Budget: A...

Q. What is Balanced Budget? Balanced Budget: An annual budget (like for a government) in that revenues perfectly offset expenditures, so that there is neither a deficit nor a s

Emitter follwer, Ask questertion #Minimum 100 words accepted#

Ask questertion #Minimum 100 words accepted#

Develop a two-dimensional addressing system, Q. Suppose a ROM holds a total...

Q. Suppose a ROM holds a total of 8192 bits. (a) How many bits long would the individual addresses have to be? (b) If the bits are organized into 8-bit memory words or bytes,

Multiplexer, design a 32:1 multiplexer using two 16:1 multiplexer

design a 32:1 multiplexer using two 16:1 multiplexer

Obtain the expression for the steady-state coil current, Q. Let the coil of...

Q. Let the coil of the solenoid of have a resistance R and be excited by a voltage v = Vm sin ωt. Consider a plunger displacement of g = g 0 . (a) Obtain the expression for the

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