*Question G7B09:
What determines the frequency of an LC oscillator?*  

*Correct Answer is  C: The inductance and capacitance in the tank circuit*  

### AI Response: (may contain errors)  

In an LC oscillator, the frequency of oscillation is determined by the inductance and capacitance in the tank circuit. This is because the tank circuit, which consists of an inductor (L) and a capacitor (C), is responsible for setting the resonant frequency at which the circuit oscillates.

1. **Correct Answer: C - The inductance and capacitance in the tank circuit**

   The resonant frequency of an LC circuit is given by the formula:

   $$ f = \frac{1}{2\pi\sqrt{LC}} $$

   where:
   - $f$ is the frequency in hertz (Hz),
   - $L$ is the inductance in henrys (H),
   - $C$ is the capacitance in farads (F).

   This formula shows that the frequency is directly dependent on the values of the inductance and capacitance.

2. **Why the other choices are incorrect:**

   - **A: The number of stages in the counter**  
     This choice is incorrect because the number of stages in a counter is related to digital circuits and frequency division, not the fundamental frequency of an LC oscillator.

   - **B: The number of stages in the divider**  
     Similar to choice A, this is related to frequency division in digital circuits. It does not determine the natural frequency of an LC oscillator.

   - **D: The time delay of the lag circuit**  
     A lag circuit introduces a phase shift or delay in a signal, but it does not determine the frequency of an LC oscillator. The frequency is set by the tank circuit's components.

Understanding the role of the tank circuit in an LC oscillator is crucial for determining how the oscillator's frequency is established.