Question 240: AC fundamentals

Question

A resonance circuit having inductance and resistance 2 $$	imes$$ 10
$$-$$4
H and 6.28$$\Omega$$ respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is ___________. [$$\pi$$ = 3.14]

Accepted Answer

Given, L = 2 $$	imes$$ 10
$$-$$4
H, R = 6.28 $$\Omega$$, f
0
= 10 MHz = 10 $$	imes$$ 10
6
Hz
$$	herefore$$ Quality factor $$ = {\omega _0}{L \over R} = 2\pi {f_0}{L \over R}$$
$$ = 2\pi  	imes 10 	imes {10^6} 	imes {{2 	imes {{10}^{ - 4}}} \over {6.28}}$$
$$ = 2 	imes {10^3} = 2000$$

AC fundamentals

A resonance circuit having inductance and resistance 2 $\times 10 -4 H and 6.28\Omega respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is ___________. [\pi$ = 3.14]

Integer / Numeric Answer Type