# Inductance of air core coil decreasing due to ferromagnetic object put in it?

I have built a Colpitts oscillator which you can see in the schematic below. Note that the values for R1 and L2 are not correct since I use a self-wound air core coil for L2 which means I can only approximate the inductance with calculations. As for R1 I use a potentiometer to try multiple resistance values. However, the value given is in the range of values I tried.

The circuit outputs approximately 3V at 700kHz.

When I put an iron core or any other ferromagnetic object into the originally air core coil L2, the output frequency will increase and the voltage will decrease.

I thought that the frequency would increase since it is given by $$\f = \frac{1}{2 \pi \sqrt{LC}}\$$ and because the inductance should increase due to the iron core.

Could it be the case that the inductance decreases? If this was true why on Earth would this happen?

The same thinking applies to the voltage. According to the formula of voltage in LC circuits $$\V(t) = -\omega_0 L I_0 cos(\omega_0 t + \phi)\$$, the voltage should increase, but it decreases.

This all implies that the inductance is actually reduced by the iron core.

Can this be the case or is there some other explanation for this behavior?

• High frequency losses. 700kHz is real high for a hunk of regular iron. Saturation is also a thing but unlikely in your case. Currents are too low. Jan 26, 2021 at 14:57
• Do you mean loss due to hysteresis of the iron? How would you calculate this kind of loss? Jan 26, 2021 at 15:00
• Hysteresis but also eddy currents. Calculating stuff like that requires material data tables and graphs. Out of my area. Jan 26, 2021 at 15:00
• @DKNguyen How big are the losses due to those both effects? How can I calculate them? Jan 26, 2021 at 15:02
• For hysteresis losses, you can plot the BH loop and the losses are related to the area of the loop. I don't know enough to know how to quantize it beyond that though. Note: The loop just looks like an oval until you turn up the current high enough to saturate the core, and the shape also changes as you change the frequency. Jan 26, 2021 at 18:46