A helical multi turn potentiometer has following specifications:

Total resistance, \(\mathrm{R}_{a}=20 \mathrm{k} \Omega\)

Total number of turns, \(\mathrm{N}=10\)

Fixed reference voltage, \(\mathrm{V}_{\mathrm{R}}=80 \mathrm{~V}\)

\[
\% \text { linearity }=1 \%
\]

(a) Find the range of voltage at mid-point setting that will appear at open circuited output terminals.

(b) Find output voltage when potentiometer is set at mid-point and output is terminated in load \(\mathrm{R}_{\mathrm{L}}=50 \mathrm{~K}\). Also find loading error percent.