Very basic question. (I hope)
I have a tuned circuit that covers a range of approx 250 to 600 kilohertz. I desire to increase its frequency range to at least double (i.e. around 500 to 1200; or even to cover, say 750 to 1600. Hopefully in a manner that does not require removing/changing/modifying the existing inductance coil. Just paralleling it with something.
Thinking is based upon.
If capacitors are ) In parallel their joint capacity increase. b) In series the joint capacitance is decreased. A simple example would be two 500 mmf caps in series would nominally (stray capacitance aside) give 250 mmf. Also increase of capacitance in say, a tuned circuit. normally 'decreases' frequency.
If inductance are in series the joint inductance increases. Assume no mutual coupling? If in parallel the inductance decreases ......................... yes???
So, for an example if one inductance is paralleled by an identical one the total effective inductance would be halved? etc.
Using the half remembered formula f = 1/2pi root of L xC it would appear that inductance would have to decreased by a ratio based on the the square of the inductance? In other words one quarter the inductance (thus reducing the product of LxC) would double the frequency?
Anybody care to make this complicated please; or what is missing?
I also half remember inductance being affected by the number of turns squared, modified by the permeability of the core material etc.
But it WAS nearly 55 years ago! So take it easy. Been rather busy working and living for the last 53 years. :-)