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Solved Problems-14

Problems-14
Impedances Z2 and Z3 in parallel are in series with impedance Z1 across a 100 V, 50 Hz A.C. supply.
 
Description: 4343.png
 
 
Determine the value of capacitance of XC such that the total current of the circuit will be in phase with the total voltage. What is then the circuit current and power?
Solution
Here,
 
Description: 4349.png
 
Total impedance,
 
Description: 4374.png
 
The total current will be in phase with the total voltage if the impedance is purely resistive.
 
∴ Description: 4380.png
 
Description: 4386.png
 
⇒ Description: 4392.png
 
⇒ Description: 4398.png
 
⇒ Description: 4404.png
 
⇒ Description: 4410.png
 
Putting XC = 10, impedance, Description: 4418.png
 
∴ Current, Description: 4427.png
 
∴ Power, Description: 4433.png
 




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