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Chapter 30: Q. 12 (page 869)

12. An LC circuit oscillates at a frequency of2000Hz . What will the frequency be if the inductance is quadrupled?

Short Answer

Expert verified

If the inductance is quadrupled, the value of the frequency will be 1000Hz

Step by step solution

01

Step 1. Given information

Initial frequency:f=2000Hz

The frequency of a LC circuit is given by

f=12πLC

02

Step 2. Explanation

Consider the inductance and capacitance of the circuit is L and C, hence the initial frequency of the circuit is

fi=12πLC

If the inductance is quadrupled, the new inductance of the inductor will be 4L, hence, the final frequency of the circuit will be

ff=12π4LC=1212πLC=12(2000Hz)=1000Hz

If the inductance is quadrupled, the value of the frequency will be1000Hz

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