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]

पर्याय

• 2000

• 1000

• 3000

• 4000

Answer 1

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.