The ratio of maximum frequency and minimum frequency is 4.9.
The relation between frequency, f, and conductance, C and inductance, L is given as:
[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]
Given,
Cmax = 279 pF
Cmin = 12 pF
The smaller value of C gives the the larger value of f, therefore,
[tex]fmax = \frac{1}{2\pi\sqrt{LCmin} }[/tex] ....(1)
[tex]fmin = \frac{1}{2\pi\sqrt{LCmax} }[/tex] .....(2)
Dividing both the equations (1) and (2):
[tex]\frac{fmax}{fmin} =\frac{\sqrt{Cmax} }{\sqrt{Cmin} }[/tex]
[tex]\frac{fmax}{fmin} = \frac{\sqrt{279} }{\sqrt{12} }[/tex]
[tex]= 4.9[/tex]
Hence, the ratio of maximum to minimum frequency is 4.9.
Learn more about the frequency calculation here:
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