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

Bitstuffing, what is bit stuffing? what is bit stuffing?

Commutator, explan Two segment and four sagment commutator action explan Two segment and four sagment commutator action

A synchronous motor with a synchronous reactance , A synchronous motor with... A synchronous motor with a synchronous reactance of 12 ohms is operating with a current of 100 A at unity power factor supplying power to a large compressor. The phasor diagram for

Working of an astable multivibrator, Q. With the help of a npn transistor c... Q. With the help of a npn transistor circuit and wave forms explain the working of an astable multivibrator In astable multivibrator both transistors are coupled to each other

Basic circuit elements, Define inductance.Explain the classification of ind... Define inductance.Explain the classification of inductors

Show that conservation of power is satisfied by the circuit, Given the netw... Given the network in Figure, (a) Find the currents through resistors R 1 , R 2 , and R 3 . (b) Compute the voltage V 1 . (c) Show that the conservation of power is satisfi

Electricity and gas hazards, INTRODUCTION : Electricity is one of the fine... INTRODUCTION : Electricity is one of the finest gifts of science to the mankind since just a flick of switch can flood the room with light or put on a fan, an air conditioner or a

Incorrect Solution, Hi there i just asked for question and answer for 5 cha... Hi there i just asked for question and answer for 5 chapter and i just receive some of them in word the rest are in apiece of paper which is unprofessional could you please have l

Meters and measurements, The subject of electrical measurements is such a l... The subject of electrical measurements is such a large one that entire books have been written on the topic. Only a few basic principles will be introduced here. Practical measurem

Determine the antennas power gain and beamwidth, Q. A paraboloidal antenna ... Q. A paraboloidal antenna has an aperture ef?ciency of 0.6 and a diameter D = 100λ at 6 GHz. Illumination by the feed is such that the beamwidths of the principal-plane secondary p