Advertisements
Advertisements
Question
A resonance circuit having inductance and resistance 2 x 10-4 H and 6.28 Ω respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is ______. [π = 3.14]
Options
2000
1000
3000
4000
MCQ
Fill in the Blanks
Advertisements
Solution
A resonance circuit having inductance and resistance 2 x 10-4 H and 6.28 Ω respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is 2000.
Explanation:
Inductance (L) = 2 × 10-4 H
Resistance (R) = 6.28 Ω
Frequency of oscillation (f) = 10 MHz
Quality factor (Q) = ?
⇒ Q `"X"_"L"/"R"`
⇒ Q = `(omega"L")/"R"`
⇒ Q = `(2pif "L")/"R"`
⇒ Q = `(2pixx10xx10^6xx2xx10^-4)/6.28`
⇒ Q = 2000
As a result, the quality factor for the resonator should be 2000.
shaalaa.com
Quality and Power Factor
Is there an error in this question or solution?
