A multi turn wire wound rotary potentiometer has following specifications:

Total number of turns, \(\mathrm{N}=5\)

Total resistance, \(\mathrm{R}_{a}=10 \mathrm{k} \Omega\)

Total number of winding turns \(=8000\)

Fixed reference voltage, \(\mathrm{V}_{\mathrm{R}}=50 \mathrm{~V}\)

(a) With the movable arm set in the middle, the resistance measured is \(5.05 \mathrm{k} \Omega\). Express linearity as percentage change in resistance.

(b) With the movable arm set at quarter point, the resistance measured is \(2.6 \mathrm{k} \Omega\). What is corresponding linearity in terms of percentage change in resistance?

(c) What is resolution of the potentiometer?

(d) Find gain constant (K) of the potentiometer in volts/turn, volts/rad and Volts/deg.