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Q. 30

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 871

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Short Answer

A 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF. What is the range of oscillation frequencies for this circuit?

The range of oscillation frequencies is 3.53 Hz - 5.03 Hz.

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Step by Step Solution

Given information 

We have given that, a 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF.

Step 1 .

The formula to calculate the oscillation frequency is :

Here, = Oscillation frequency

= Inductance

= Capacitance

As the capacitance vary between two values, we will calculate oscillation frequency for both values separately.

Step 2. 

Calculating value for

Now we will calculate for

So the range of oscillation frequency is 3.53 MHz - 5.03 MHz.

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