Phasor relation between different voltages and currents, Electrical Engineering

Phasor relation between different voltages and currents:

In the capacitive circuit of Figure, find

1.      Impedance,

2.      Resultant current,

3.      Power factor,

4.      Power absorbed by the circuit, and

5.      Phasor relation between different voltages and currents.

1317_Phasor relation between different voltages and currents.png

Figure

Solution

 (a)       The capacitive reactance is given by

                   X C =   1 / ωC  =     1/2π fC

=          1 / (2π× 50 × 1 × 10- 6)

= 3182.68 Ω

So the impedance, Z = R -j X C

                                     = 120 - j 3182.68 Ω

In polar form,  Z = 3184.94 ∠ - 87.84o Ω

(b)        Resultant current

          i =  v/ Z =  100 ∠ 0o / 3184.94 ∠- 87.84o

             = 0.03139 ∠ 87.84o Amp (leading)

(c)        Power factor, cos φ = cos 87.84o

                                                   = 0.0376 (lead)

 (d)       Power is absorbed only by resistor and that is also known as the active power in the circuit

P = I 2 R

= (0.03139)+ × 120

= 0.1182 Watts

 (e)       Voltage drop across resistor :

                          VR = iR

                                    = 0.03139 ∠ 87.84o × 120

                                       = 3.7668 ∠ 87.84o Volt (in phase with current i)

Voltage drop across capacitor

 Vc  = i (- j X c )

= 0.03139 ∠ 87.84 × 3182.68 ∠ - 90o

= 99.9 ∠ - 2.16o (lagging)

The phasor diagram is shown in Figure 4.25 and applied Voltage of 100 ∠ 0o is taken as reference.

2233_Phasor relation between different voltages and currents1.png

Figure: Phasor Diagram

Posted Date: 2/5/2013 1:10:03 AM | Location : United States







Related Discussions:- Phasor relation between different voltages and currents, Assignment Help, Ask Question on Phasor relation between different voltages and currents, Get Answer, Expert's Help, Phasor relation between different voltages and currents Discussions

Write discussion on Phasor relation between different voltages and currents
Your posts are moderated
Related Questions
cite a specific example in which the engineer must provide maximum efficiency for a given cost.

Design a low noise amplifier using an Infineon RF transistor BFP640. The amplifier is to be used to amplify the L2 GPS signal and so the centre frequency is 1227MHz and bandwidth 4

Give the properties of PVC. PVC- It is acquired from polymerisation of hydrogen chloride and acetylene in the presence of a catalyst as peroxides at about 50 0 C. Properties

Self Inductance If a current is passed through a coil, it creates a flux within the coil. Any attempt to change this flux will create a back emf that acts to oppose the chang

Q. Explain Power semiconductor-controlled drives? Power electronics deals with the applications of solid-state electronics for the control and conversion of electric power. Con

Explain the term Industry Standard Architecture Bus. The Industry Standard Architecture, bus has been approximately since the very start of the IBM-compatible personal computer

Q. Basic aspects of electromechanical energy converters? Whereas detailed differences and particularly challenging problems emerge among various machine types, this section bri


Data analysis in GIS: Therefore, GIS consists of the following: 1.  Database - for storage and retrieval of information. The database forms the foundation of the GIS syst