Inductors try to prevent current change by floating voltage and capacitors try to prevent voltage change by floating current.

Let's say you had a wire with 1mh of inductance from end to end. Could you not use an equivalent capacitance to effectively negate the inductance?

 

If you connect the inductor in series with a capacitor then the combined impedance will be zero at one specific AC frequency.

In the above example circuit the output voltage has 0dB attenuation at a frequency of about 50kHz.

 

What about in parallel?

Does that look right?

 

That only works for one frequency, of course.

 

Does that look right?

No. The parallel combination has maximum impedance (not zero) at the resonant frequency.

 

No. The parallel combination has maximum impedance (not zero) at the resonant frequency.

Of course.
You have to put them in series to get minimum impedance.

 

Except DC can't travel through a cap
Oh well, guess I just have to minimize wire length to begin with.

 

Or use a controlled impedance trace aka transmission line.

 

Except DC can't travel through a cap
Oh well, guess I just have to minimize wire length to begin with.

Tell us what you are trying to do or what your concern is. We may be answering the wrong question.

 

Nothing special.
Just trying to minimize inductance between components in my amplifier builds. LTspice simulations show that even small inductance can cause big issues.
It would be nice if I could not have to worry about inductance when laying out components.

 

An audio preamp ia a lot different than an FM transmitter output stage.
Can you tell us more about your amplifiers -- such as frequency and signal/power levels?

 

Nothing special.
Just trying to minimize inductance between components in my amplifier builds. LTspice simulations show that even small inductance can cause big issues.
It would be nice if I could not have to worry about inductance when laying out components.

As @RichardO says, it is usually not a problem with low frequency amplifiers. That's because the impedance of the traces is low at low frequencies (Z=2pif).
But if the frequency is high decoupling is a good idea.

 

Nothing special.
Just trying to minimize inductance between components in my amplifier builds. LTspice simulations show that even small inductance can cause big issues.
It would be nice if I could not have to worry about inductance when laying out components.

Here is a calculator so you can see how big the "loop" would need to be to make a large inductor.
http://www.daycounter.com/Calculators/Air-Core-Inductor-Calculator.phtml