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Chapter 23: Q95PE (page 863)

What is the resonant frequency of a 0.500mHinductor connected to a40.0渭Fcapacitor?

Short Answer

Expert verified

The resonant frequency of a 0.500 mH inductor is 1.13kHz .

Step by step solution

01

Definition of inductor and capacitor

Capacitor: A capacitor is an electric charge storage device made up of one or more pairs of conductors separated by an insulator.

Indicator: An inductor is a component with inductance in an electric or electronic circuit.

02

Given data

The value of the inductor isL=0.500mH10-3H1mH=5.00脳10-4H

The value of the capacitor isC=40.0渭F10-6H1渭H=4.00脳10-5F

03

Finding the resonant frequency

Using the formula for an LC circuit, the resonant frequency can be expressed as,

f0=12蟺LC鈥︹赌︹赌︹赌︹赌�.(1)

Here, L is the self-inductance of the inductor and C is the capacitance.

Substituting the given values in equation (1), we get,

f0=12脳3.14脳5.00脳10-4H4.00脳10-5F=1.13脳脳103Hz1kHz103Hz=1.13kHz

Therefore, the resonant frequency is1.13kHz

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