1. What is the Effective Inductance in Hartley Oscillator?

The effective inductance in a Hartley oscillator represents the combined inductance value when two inductors (L₁ and L₂) are connected in series to form the tuned LC tank circuit. This combined inductance determines the oscillation frequency of the circuit.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( L_{eff(hartley)} \) — Effective inductance of Hartley oscillator (Henry)
• \( L_1 \) — Inductance 1 of Hartley oscillator (Henry)
• \( L_2 \) — Inductance 2 of Hartley oscillator (Henry)

Explanation: When two inductors are connected in series in a Hartley oscillator configuration, their inductances simply add up to give the total effective inductance for the tank circuit.

3. Importance of Effective Inductance Calculation

Details: Accurate calculation of effective inductance is crucial for determining the oscillation frequency in Hartley oscillator circuits, which is given by \( f = \frac{1}{2\pi\sqrt{L_{eff}C}} \). Proper inductance values ensure stable oscillation at the desired frequency.

4. Using the Calculator

Tips: Enter the values of both inductances in Henry. All values must be non-negative. The calculator will compute the sum of the two inductance values.

5. Frequently Asked Questions (FAQ)

Q1: Why are two inductors used in Hartley oscillator?
A: Hartley oscillator uses a tapped inductor (two inductors in series) to provide the necessary feedback for sustained oscillation while forming the resonant tank circuit.

Q2: Does mutual inductance affect the calculation?
A: This simple formula assumes no mutual coupling between the inductors. If mutual inductance exists, the calculation becomes more complex: \( L_{eff} = L_1 + L_2 + 2M \) where M is mutual inductance.

Q3: What are typical inductance values for Hartley oscillators?
A: Typical values range from microhenries to millihenries, depending on the desired oscillation frequency and the capacitance used in the tank circuit.

Q4: Can this formula be used for parallel inductors?
A: No, this formula is specifically for series connection. Parallel inductors follow the reciprocal formula: \( \frac{1}{L_{eff}} = \frac{1}{L_1} + \frac{1}{L_2} \).

Q5: How does effective inductance affect oscillation frequency?
A: The oscillation frequency is inversely proportional to the square root of the effective inductance. Higher inductance results in lower frequency oscillation.