\(\mathrm{A} 50 \mathrm{~K} \Omega, 10\) turn potentiometer has \(\pm 12 \mathrm{~V}\) supply connected to fixed terminals as shown in Fig. D9.5.
(a) Determine gain constant of potentiometer in V/rad.
(b) Find open circuit (unloaded) output voltage when the shaft is rotated \(70^{\circ}\) from mid-point towards \(+12 \mathrm{~V}\) terminal.

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+12 V wwwwww -12 V