Phasor relation between different voltages and currents, Electrical Engineering

Assignment Help:

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


Related Discussions:- Phasor relation between different voltages and currents

Electromagnetic torque produced, A dc machine, operating as a generator, de...

A dc machine, operating as a generator, develops 400 V at its armature terminals, corresponding to a field current of 4 A, when the rotor is driven at 1200 r/min and the armature c

Digital ecectronics, DISIGN A FENITE STATE MACHINE TO DETECT THE SEQUENCE 1...

DISIGN A FENITE STATE MACHINE TO DETECT THE SEQUENCE 10110

CRO, draw a labled diagram of CRO and explain the function of its parts

draw a labled diagram of CRO and explain the function of its parts

Details of a distribution transformer, Electrical network details: 1  ...

Electrical network details: 1          single line diagrams with conductor sizes, transformer locations, consumer location, lengths, capacitors, and load, etc., 2

Find an expression for the total flux, Q. A rectangular loop is placed in t...

Q. A rectangular loop is placed in the field of an infinitely long straight conductor carrying a current of I amperes, as shown in Figure. Find an expression for the total

Describe binary number system, Q. Describe binary number system? The bi...

Q. Describe binary number system? The binary number system has a base of 2 with two distinct digits (bits), 1 and 0. A binary number is expressed as a string of 0s and 1s, and

Calculate the monthly electric bill, Calculate the monthly electric bill fo...

Calculate the monthly electric bill for TESTU.  Metering is as follows: B 00,000 kWHr C 00,000   kVARHr D 0,000        kW  peak demand Facilities Charge = $500

Draw the block diagram of phase cancellation ssb generator, a. The antenna ...

a. The antenna current of an AM broadcast transmitter, modulated to depth of 40% by an audio sine wave is 11 amp. It enhances to 12 amp as a result of simultaneous modulation by an

Draw a state diagram of 3-bit ripple counter, The block diagram for a 3-bit...

The block diagram for a 3-bit ripple counter is shown in Figure (a). Obtain a state table for the number of pulses N = 0 to 8, and draw a state diagram to explain its operation.

Explain hexadecimal number system, Q. Explain Hexadecimal Number System? ...

Q. Explain Hexadecimal Number System? A Hexadecimal Number System: uses base 16 includes only the digits 0 through 9 and the letters A, B, C, D, E, and F In the Hexade

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