20-04-2024, 06:30 PM
The units used must be consistant, if rad/s/V are used for Kv then V/rad must be used for Ko.
I use Hz (cycles/sec) for Kv and V/cycle for Ko as this seems more practical to me.
In either case the units cancel (radians or cycles).
eg for 5v EXOR phase comparator Ko = 5V/(half cycle) = 10V/cycle = 10V/(2.pi) = 1.59 v/radian
and VCO with Kv of 7Hz/V = 43.98 rad/s/V
and division ratio N of 1000
T = N/(Ko.Kv) 1000/(10x7) = 14.3 seconds or
T = N/(Ko.Kv) 1000/(1.59x43.98) = 14.3 seconds
Sorry for any confusion, I'm just to old and lazy to convert form cycles to radians when they cancel anyway.
Jim
I use Hz (cycles/sec) for Kv and V/cycle for Ko as this seems more practical to me.
In either case the units cancel (radians or cycles).
eg for 5v EXOR phase comparator Ko = 5V/(half cycle) = 10V/cycle = 10V/(2.pi) = 1.59 v/radian
and VCO with Kv of 7Hz/V = 43.98 rad/s/V
and division ratio N of 1000
T = N/(Ko.Kv) 1000/(10x7) = 14.3 seconds or
T = N/(Ko.Kv) 1000/(1.59x43.98) = 14.3 seconds
Sorry for any confusion, I'm just to old and lazy to convert form cycles to radians when they cancel anyway.
Jim
