An R L C circuit has a capacitance of 0.30 ? F . Part A What inductance will pro

Question

An RLC circuit has a capacitance of 0.30?F .

Part A

What inductance will produce a resonance frequency of 88MHz ?

Express your answer using two significant figures.

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Part B

It is desired that the impedance at resonance be one-fifth the impedance at 17kHz . What value of R should be used to obtain this result?

Express your answer using two significant figures.

An RLC circuit has a capacitance of 0.30?F .

Part A

What inductance will produce a resonance frequency of 88MHz ?

Express your answer using two significant figures.

L =   H  

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Part B

It is desired that the impedance at resonance be one-fifth the impedance at 17kHz . What value of R should be used to obtain this result?

Express your answer using two significant figures.

R =   ?  

Explanation / Answer

1.

Given
f (resonance frequency)= 88MHz = 88*10^6 Hz
C (Capacitance)= 0.30 uF = 0.30*10^-6 F

use this formula
f = 1/(2??(LC))
where, f is the resonance frequency.
L = 1/[(f*2 ?)^2*C]

L = 1 / [(88*10^6*2*3.14)^2*0.30*10^-6]

L = 1.09*10^-11 Hz

2.

Calculate the impedance at the 17 kHz

Xc = 1/(2?fC)

XL = 2?fL

Impedance Z = ?(R

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