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Solved Problems-10

Problems-10
For the circuit shown in figure draw the phasor diagram. Derive the condition for the two branch currents IL and IC to be in quadrature.
 
Description: 1605.png
 
Solution
For this resonant circuit, the phasor diagram is shown in figure.
 
Description: 1615.png
 
Phase angle of the inductive branch, Description: 3718.png
 
Phase angle of the capacitive branch, Description: 3724.png
 
For the two currents to be in quadrature, the condition is,
 
Description: 3730.png
 
⇒ Description: 3736.png
 
⇒ Description: 3742.png
 
⇒ Description: 3748.png
 
⇒ Description: 3754.png
 
⇒ Description: 3763.png
 




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