Question

If L is the inductance and C is the capacitance, then the frequency of a transistor oscillator is directly proportional to

• A. \( \frac{1}{\sqrt{LC}} \)
• B. \( \frac{1}{LC} \)
• C. \( \sqrt{LC} \)
• D. \( \frac{1}{L} \)

Hint:

For LC oscillators, the frequency is inversely proportional to the square root of the inductance and capacitance product.

Answer 1

The Correct Option is A

The frequency of an LC oscillator is given by the formula: \[ f = \frac{1}{2\pi \sqrt{LC}} \]
Thus, the frequency is inversely proportional to the square root of the product of inductance and capacitance.