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Electrical Engineering Problems: Capacitive Circuits and Phasor Representations, Exercises of Basic Electronics

Jaypee University of Engineering & TechnologyBasic Electronics

Solved problems related to capacitive circuits and phasor representations of voltage and currents in electrical engineering. The problems involve calculating maximum and rms values, finding the phasor representations of voltages and currents, and determining the net reactive power. The document also includes important concepts such as power triangles and the relationship between real power, reactive power, and power factor.

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

nooor
nooor 🇮🇳

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Partial preview of the text

Download Electrical Engineering Problems: Capacitive Circuits and Phasor Representations and more Exercises Basic Electronics in PDF only on Docsity!

1

Solved Problems

P1.

141 sin( 30 ) 141. 4 ( 30 90 ) 141. 4 ( 60 )

   

v t  Cost   Cos t

TheCircuitiscapacitive.

C)

V V I A

b)rmsValues:

I A

V V

a MaximumValues:

v

v i

max

    

 

max

P1.

2

0 0

0 12 30 8 30

Z

X ZSin

R ZCos

0

0

X 12.5Sin(-3 0

R 12.5Cos(-3 0

Phasor representations of voltage and currents are:

0 0

0

I A 8Cos(30 j Sin j

V Volts 100 - j 0 Volts

0      

0

0

R X

B

& X

G

R

j G jB V

I

Y

2 2

0

j j

j j

j

j

j

Y

Z  j

P1.

P1.

4

( ) ( ) or   or Cos (pf)

P

Q

or tan R

X

of"Z" or tan

Pointtoremember:

  • 1 v i
  • 1 - 1

P1.

tan( ( ))

tan ( ) ( )

1

1 1

Q P Cos pf

Cos pf P

Q

P 10 MW

As

sofirsthaveto findreactivepower fromgivenparameters

Hereinthisproblemwearegiven realpowerandpowerfactor

Forpowertrianglewemusthaveknowledgeof Reactive(Q)aswellasofrealpower(R)

 

5

P1.

If If v 141.4Sin( t 30 ) V, i 11. 31 Cos( t 30 )A andZ 0 j 5

0 0

find:

a) Whether the circuit is generating or consuming power

b)Wether the reactive power is consumed or released.

c)The value of P and Q

from problem 1.

0 0

0

I A 8Cos(30 j Sin j

V Volts 100 - j 0 Volts

0      