Answer to Question #199869 in Electrical Engineering for A jaif

Question #199869

The circuit shown in Fig.5 is applied with a 240 V, 50 Hz supply. Find thevalues of R and  C so thatVb=3Va and Vb and Va are in phase quadrature


1
Expert's answer
2021-05-31T04:51:03-0400

Angle between V and I 

The angle between Vs and Vb = 18.43° 

In the phasor diagram, I have been taken as a reference. Vb is in the first quadrant. Hence Va must be in the fourth quadrant since Za consists of R and Xc. The angle between Va and I is then 36.87°.


Since Za and Zb are in series, V is represented by the phasor OD which is at an angle of


Thus, the circuit has a total effective impedance of 10.53 ohms. 


In the phasor diagram,  

Hence, Va = OE = 3.33 I, 

Since BOE =

Hence,

Hence

Horizontal component of  

Vertical component of

Hence, the total impedance =

Angle between Vs and I =


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