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The current in the LCR circuit shown in ...


The current in the LCR circuit shown in the figure is observed to lead the voltage in phase. Without making any other change in the circuit, a capacitor, of capacitance `C_0` is (appropriately) joined to the capacitor C. This results in making the current, in the joined to the capacitor C. This results in making the current, in the modified' circuit, flow in phase with the applied voltage.
Draw a diagram of the modified circuit and obtain an expression of ` C_0` in terms of ` Omega`, L and C.

Text Solution

Verified by Experts

Net capacitance `=C_0+C`
In resonance `=X_L=X_C`
`OmegalL=(1)/(Omega(C+c_0))`
`Omega^2 L =(1)/(C+C_0) `
` C+C_0 =(1)/(Omega^2L)`
` C_0 (1)/(Omega^2L)-C`
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