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TS EAMCET · Physics · Alternating Current

The natural frequency of an LC circuit is 120 kHz . When the capacitor in the circuit is totally filled with a dielectric material, the natural frequency of the circuit decreases by 20 kHz . Dielectric constant of the material is

  1. A 3.33
  2. B 1.44
  3. C 2.12
  4. D 1.91
Verified Solution

Answer & Solution

Correct Answer

(B) 1.44

Step-by-step Solution

Detailed explanation

Given Natural frequency of LC Circuit, \(f=120 \mathrm{kHz}\) Frequency of \(L C\) circuit, \(f=\frac{1}{2 \pi \sqrt{L C}}\) On introducing dielectric of dielectric constant K frequency, \(\mathrm{f}^{\prime}=\frac{1}{2 \pi \sqrt{\mathrm{~L}(\mathrm{KC})}}=100 \mathrm{kHz}\)…