what is magnitude v/v and magnitude db and how do they relate to voltage range
With respect to filters or amplifiers :
1) We have Vin and Vout. Relationship between them is Vout = G x Vin.
or G = Vout / Vin (units are V / V). Eg. G is dimensionless. So if we have
Vout = 1V for Vin = .01V we have a G of 1 (V) / .01 (V) or 100 V/V or just
2) db is G (decibels) = 20 x log (Vout / Vin).