Relation between -3 dB frequency and risetime for resistive voltage divider

The relation between -3 dB frequency of amplitude-frequency characteristics and 10% to 90% risetime of unit-step response is studied for one- and two-stage resistive voltage dividers with and without inductance compensation. The product of the -3 dB frequency and the risetime for one-stage resistive voltage dividers without inductance compensation is the constant of 0.350. For two-stage dividers without compensation this product changes slightly near its average 0.349. For one-stage dividers with compensation the product is determined by overshoot and changes from 0.35 to 0.29 with overshoot from 0 to 10%. For two-stage dividers with compensation the product changes with overshoot and divider parameters, and the change at fixed overshoot less than 10% is about ±10%。When the time constant