Question

25. a) What capacitance do you need to produce a resonant frequency of 1.00 GHz, when using an 8.00 nH inductor? b). What inductance do you need to produce a resonant frequency of 60.0 Hz, when using a 2.00 uF capacitor

Answer 1

(a)

formula resonant frequency

f= 1/ 2 pi sqr LC

f^2 4 pi^2 = `1/LC

C= `1* /L* *f^2 4 pi^2

= 1/8* 10^-9 (1* 10^9)^2 4 pi^2

=3.16 * 10^-12 C

(b)

f= 1/ 2 pi sqr LC

f^2 4 pi^2 = `1/LC

L= `1* /C* *f^2 4 pi^2

= 1/2* 10^-6 (60)^2 4 pi^2

=3.51 H