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AP EAMCET · PHYSICS · Alternating Current

The natural frequency of an \(L-C\) circuit is \(125 \mathrm{kHz}\). When the capacitor is totally filled with a dielectric material, the natural frequency decreases by \(25 \mathrm{kHz}\). Dielectric constant of the material is nearly

  1. A \(3.33\)
  2. B \(2.12\)
  3. C \(1.56\)
  4. D \(1.91\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1.56\)

Step-by-step Solution

Detailed explanation

The natural frequency, \(f_{\mathrm{N}}=\frac{1}{2 \pi \sqrt{K L C}}=\mathrm{Fe}\) When capacitor is totally filled with dielectric material of dielectric constant \(\mathrm{K}\) then capacitance \(\mathrm{C}^{\mathrm{C}}=\mathrm{KC}\)…