The Q - factor of a resonant circuit is equal to

Options

A. ` ( 1 ) /(L) sqrt ( ( R) / ( C)) `
B. ` ( 1 ) / ( R) sqrt ((L)/(C)) `
C. ` ( 1 ) / ( RL ) sqrt (C) `
D. ` (1 )/ (C) sqrt ( (R)/ ( L)) `

Answer

B

Explanation

The quality factor (Q - factor ) of a resonant circuit
` Q = ( omega _ 0 L ) /( R ) `
At resotance , ` omega _ 0 = ( 1 ) /( sqrt ( LC )) `
` therefore Q = ( 1 )/( sqrt ( LC)) * ( L) /(R ) = ( 1 )/( R) sqrt (( L )/( C)) `