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A resonance circuit having inductance an...

A resonance circuit having inductance and resistance `2 xx 10^(-4)` H and 6.28 `Omega ` respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is_____.

Text Solution

Verified by Experts

The correct Answer is:
2000
Given : `R=6.28Omega`
f =10 MHz
`L= 2xxx10^(-4)` Henry
We know that quality factor Q is given by
`implies Q = X_L/R = (omegaL)/R`
Also , `omega = 2pi f`
`implies Q = (2pifL)/R`
`implies Q = (2pi xx 10 xx10^6 xx 2 xx 10^(-4))/(6.28) = 2000`
`implies Q = 2000`
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