Which of the following coil will have large resonant frequency?
A. A coil with large resistance
B. A coil with low resistance
C. A coil with large distributed capacitance
D. A coil with low distributed capacitance
Answer: Option D
Solution(By Examveda Team)
Resonant Frequency: The resonant frequency of a coil in an AC circuit is determined by both its inductance and capacitance. It is given by the formula:$$f_r = \frac{1}{2 \pi \sqrt{L C}}$$
where $$f_r$$ is the resonant frequency,
L is the inductance, and C is the capacitance.
Effect of Capacitance: From the formula, it is clear that the resonant frequency is inversely proportional to the square root of the capacitance. Therefore, a lower capacitance results in a higher resonant frequency.
Options Analysis:
Option A: A coil with large resistance - The resistance of the coil does not directly affect the resonant frequency.
Option B: A coil with low resistance - Similar to option A, resistance does not directly impact the resonant frequency.
Option C: A coil with large distributed capacitance - Larger capacitance results in a lower resonant frequency.
Option D: A coil with low distributed capacitance - Lower capacitance results in a higher resonant frequency.
Therefore, the coil with low distributed capacitance will have a large resonant frequency.
This Question Belongs to Electrical Engineering >> A.C Fundamentals, Circuits And Circuit Theory
Why in all online resources, answer is option C?
As per theory , resonant frequency is inversely proportional to √(LC)
The coorect answer should be D option because of our resonant frequency is inversly praportional to the capacitor.
Resonant frequency of coil is inversely proportional to square root of values of capacitance and inductance. So option D is correct
I think answer d is right, because resonant frequency f is inversely propositional to c
I think it should be D. Because
w = 1/√LC. C should be low than resonant frequency will be high.
It is the highest frequency for which the coil is inductive. Capacitance approaches to zero, while frequency approaches to infinity. As C is inversely proportional to f.
What is the reason behind it???
Please give me the details ans