Higher Impedance MC Carts on Transimpedance Stages?

Hagtech, In your equation, I assume R is the internal resistance of the cartridge and L is the cartridge inductance. Since you speak of "bandwidth", "f" must be bandwidth. Further I assume R is in ohms and L is in henries. I must have something wrong, because if those assumptions are correct, then LOMCs with high internal R (>>10 ohms), like the Kiseki, would have much greater bandwidth than a typical LOMC with an internal R of ~10 or less. This happens because LOMCs have very low inductance, usually less than 50 microhenries, and therefore the denominator is always going to <<1.0. Further, I would think an equation to determine bandwidth resulting from a specific match between cartridge and phono would have to include parameters of both the cartridge and the phono stage.

For example, the Kiseki with an internal resistance of 40 ohms and an inductance of say 50 microhenries or .000050 Henries (cannot find the actual value on line) would have a bandwidth in excess of 100KHz. Whereas a more typical LOMC with an internal R of 4 ohms and similar inductance would have a ten-fold narrower bandwidth.  Even if such a cartridge has also a lower inductance, that would not help much; the predicted value for f would still be well below 100kHz.

Thanks to everyone who has contributed to the thread so far. The explanations and the equations provided are very helpful in understanding how to find a good match.

@hagtech, I'm curious to your response on lewm's reply as I can see where the way you're calculating bandwidth may not be accurate.

I did see on Steve Hoffman Forums that there is a user using a BMC with a different Kiseki cartridge also with 40 Ohm impedance and doesn't seem to be experiencing any issues with it. It may be that Kiseki has lower than typical inductance?

It's a shame that cartridge manufacturers do not provide all the specs an end user may need to make better-informed decisions.

The inductance of an LOMC is trivial, in the sense that it’s very low, on the order of 1000 times lower than MI which is already much lower than MM. Your acquaintance is probably happy because it works and he has yet to try an LOMC with truly low internal resistance. I feel that I must be misinterpreting Hagtech’d equation .

There is no real contribution from phonostage, since it appears as a dead short, we are talking transimpedance, right?

Nevertheless, first order bandwidth rolloff is from L/R ratio of cart (and tonearm wire). Think current, not voltage.

I know it may feel counter-intuitive, but what is happening here is a sacrifice between output amplitude (maximum current) and bandwidth.