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The circuit diagram is as shown.

As per the book voltage across the capacitor is maximum during resonance that is p=1/√(LC)

But what I found out is a bit different . And it is. p=√((1/LC)-(R²/2L²))

I got this result by solving the 2nd order degree 1 differential equation in terms of q (charge) in capacitor and then found the voltage across across the capacitor as q/c and took its amplitude and differentiated it to get the result. I am not sure if I am right or wrong . please help me out enter image description here

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As per the book voltage across the capacitor is maximum during resonance that is p=1/√(LC)

is an incorrect statement, rather when that condition is satisfied you have current resonance and the current through and the voltage across the resistor is a maximum.
You are asked about charge resonance when the charge stored on the capacitor and the voltage across the capacitor is a maximum.
You have found that it occurs at a different frequency.
This is a related link.

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  • $\begingroup$ Pls say me then at charge resonance the frequency which I have found out is right or wrong? $\endgroup$ – Abhishek Ghosh Nov 30 '18 at 16:06

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