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Chapter 30: Q. 30 (page 871)

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?

Short Answer

Expert verified

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

Step by step solution

01

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.

02

.

The formula to calculate the oscillation frequency is :f=12蟺LC

Here, f= Oscillation frequency

L= Inductance

C= Capacitance

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


03

Step 2. 

Calculating value for C=100脳10-15

localid="1651033231481" f1=12蟺(2脳10-3H)(100脳10-12F)

f1=3.55MHz

Now we will calculate for C=200脳10-15

localid="1651033320655" f2=12蟺(2脳10-3H)(200脳10-12F)

f2=5.03MHz

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

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