Determine the active - reactive and apparent power, Electrical Engineering

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.

Posted Date: 2/5/2013 1:00:29 AM | Location : United States







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
Related Questions
stack Pointer (SP) It is also a 16 bit  register and a  memory  pointer similar to  program counter. It holds  the memory  address of the  top of the stack. Stack is a  part of

The winch uses a 415 Volt 50 Hz AC motor, so both the up/down and run/stop controls actually operate +24V relays, whose contacts switch the 415Vac to the winch. The relays also pro

Q. Write short note on Quantization? Quantization: This is first step in PCM. Total amplitude range of the modulating signal is divided into a number of standard levels calle

Aggregate Technical and Commercial Loss It is unfortunate in that addition to T&D losses, there is also a loss in revenue because of non-realisation of billed demand which lea

Q. Internal Frequency Compensation of operational amplifier? Some op amps, such as the 741, have internal RC networks which are intentionally designed to reduce gain at high fr

Evaluate Phase difference between voltage and current: An inductive coil of reactance 15.7 Ω and resistance 32 Ω is connected in series with a capacitor of reactance 79.5 Ω. T

Tri State Devices Tri  State  devices have three  states logic 1  logic  0 and high  impedance. A tri state device ( Buffer/ Inverter) has three  lines output  enable as shown

i would like to construct a colpitts oscillator using a series lc tank circuit as a feedback. the circuit will have a frequency of 150 Khz and it will drop when varying the value o

A 100hp,460v,8pole,60hz,star connected 3phase IM runs at 891rpm under full load what is the speed of the rotor field relative to i)rotor structure ii)stator rotating field

what is experimental setup for Butterworth filter?