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
Define Stability - Characteristics of Discrete Time Systems? The LTI system is stable if its impulse response satisfies the condition This condition is satisfie

Explain electrical contact materials. Electrical contact materials: some elements, in their relatively pure forms as copper, nickel, molybdenum, palladium, silver, tungsten and

Objective: To Understand the Usage of the Output ports of PIC18F452 and make changes in the previous code accordingly. Procedure: 1. Open the p1.asm program from t

Simulate and compare BER of QPSK system and 4-QAM system without grey coding Eb/No=0.2.4.6.8.10

20 cells with emf 1.45V and internal resistance 0.5Ω for each cells is linked 4 rows which every rows having of 5 cells in series. Load resistance 15Ω is connected to the battery.


What is the difference between near call and far call? The PROC directive specifies the start of a procedure, should also be followed along with a NEAR or FAR. A NEAR procedure


Alow-noise transducer is connected to an instrumentation system by a cable that generates thermal noise at room temperature. The information-bearing signal has a bandwidth of 6 kHz

Q. The model of an elemental length of a lossy transmission line is shown in Figure (a), along with its parameters, where R is series resistance per unit length, L is serie