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

Find how long the bulb can be lighted, Q A12-V, 115-Ah automobile storage b...

Q A12-V, 115-Ah automobile storage battery is used to light a 6-W bulb. Assuming the battery to be a constant-voltage source, find how long the bulb can be lighted before the batte

Database resources, HELLO.can I have a short note on database resources

HELLO.can I have a short note on database resources

Monostable delay in matlab, how to implement monostable delay in matlab sim...

how to implement monostable delay in matlab simulink environment? [email protected]

Singular value decomposition, Singular Value Decomposition (i) initial...

Singular Value Decomposition (i) initialize a 2x2 matrix m=[4 0.5;0.5 7]  Factorize the matrix with SVD [u d v]=svd(m) How the matrix u and v differ? Why is that?

Psuedo code, Ask questiIn a right triangle, the square of the length of one...

Ask questiIn a right triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides. Stephanie has the integer lengths of t

Solar steam power generator, This project is about another particular appli...

This project is about another particular application of a particular embodiment of the patent: A Long Stroke Steam Engine using Solar Generated Steam. The machine elements such as

Spread time - power semiconductor devices , Spread Time (t s ) During  ...

Spread Time (t s ) During  spread time anode  voltage  falls from 10% I a  to the  on state  voltage  drop  and anode  current  rises  from 90% I a   to final  value  of anode

Find the current and voltage at input terminals of the line, Q. A source of...

Q. A source of impedance ¯ Z S = R S = 100  has an open-circuit voltage v S (t) = 12.5 cos ωot and drives a 75- transmission line terminated with a 75- load. Find the current

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