An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\left( {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}} \right)\)

An LC tank circuit consists of an ideal capacitor C connected in paral

1.	An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is
A.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\)
B.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}}\)
C.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)
D.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\left( {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}} \right)\)
Answer» C. \(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)

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An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

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