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., if load is removed so which motor will run fast? series or shunt?

if load is removed so which motor will run fast? series or shunt?

Compute the average number of open links, A zipper has N links every link h...

A zipper has N links every link has a state in which it is closed with energy 0 and a state in which it is open with energy 0 We require that the zipper only unzip from one side (s

Determine power reflection coefficient at the input port, Determine power r...

Determine power reflection coefficient at the input port: For the MESFET equivalent circuit shown below, find S 11 and S 22 . Note that resistances associated with the voltag

Give homogeneous matrix quation for b-splive curve, What are the different ...

What are the different kinds of surface entities used in CAD? Give homogeneous Matrix form equation for : (i) B-Splive Curve (ii) Bezier Curve

What do you mean by external data bus, What do you mean by external data bu...

What do you mean by external data bus? External Data Bus: A bus which connects a computer to the peripheral devices. The microprocessor-8088 has 16-bit registers, 20-bit add

Calculate the voltage regulation, The per-phase synchronous reactance of a ...

The per-phase synchronous reactance of a three-phase, wye-connected, 2.5-MVA, 6.6-kV, 60-Hz turboalternator is 10. Neglect the armature resistance and saturation. Calculate the vo

Define intermodal dispersion, Define intermodal dispersion? Dispersion...

Define intermodal dispersion? Dispersion of the transmitted optical signal causes distortion for both digital and analog transmitted signal. The dispersion causes broadening o

Function generator, explain the waorking principle of function generator

explain the waorking principle of function generator

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