The natural frequency of an L-C circuit is 125000 cycles/s. When a dielectric medium of dielectric constant K is introduced between the plates of the…

Question

The natural frequency of an L-C circuit is 125000 cycles/s. When a dielectric medium of dielectric constant K is introduced between the plates of the capacitor, the frequency decreases by 25 kHz. The value of K is

MARKS Content Team · Accepted Answer

Correct answer: (C) 1.56. f=1/(2π√LC) When a dielectric is introduced the capacitance becomes C⁡^(′) = K⁡ C⁡ ⇒(f⁡^('))/f=√(C⁡C⁡^(')) (125000-25000)/125000=√(C⁡KC) 100/125=1√K K=125100^2=1.56

The natural frequency of an $L - C$ circuit is $125000 cycles / s$ . When a dielectric medium of dielectric constant $K$ is introduced between the plates of the capacitor, the frequency decreases by $25 kHz$ . The value of $K$ is

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