电阻分压器-3 dB频率与上升时间的关系

 研究了无电感补偿和有电感补偿的一级和两级电阻分压器的幅频特性-3 dB频率与阶跃响应10%~90%上升时间的关系。无电感补偿一级分压器的-3 dB频率与阶跃响应上升时间之积为常数0.350；对无电感补偿两级分压器，该乘积在0.349附近很小范围内变动；对电感补偿一级分压器，该乘积由过冲决定，当过冲在0~10%范围内变化时，该乘积在0.35~0.29之间线性变化；对电感补偿两级分压器，该乘积随过冲和分压器参数变化，在不大于10%的确定过冲下，变化范围约为±10%；当两级分压器第一级的时间常数远大于第二级的时间常数时，可能难以在第二级进行有效的电感补偿。

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