(Solved): please do it all with all steps 7- An ac LVDT has the following data: input \( 6.3 \mathrm{~V} \), o ...

7- An ac LVDT has the following data: input \( 6.3 \mathrm{~V} \), output \( \pm 5.2 \mathrm{~V} \), range \( \pm 0.50 \) in. Determine: a) The plot of the output voltage versus core position for a core movement going from \( +0.45 \) in to \( -0.03 \) in. b) The output voltage when the core is \( -0.25 \) in. from center. 8- A resistive positive displacement transducer with a shaft stroke of \( 10 \mathrm{~cm} \) is used in the circuit of figure below. The total resistance of potentiometer is \( 500 \Omega \) and the applied voltage \( \mathrm{Vi} \) is \( 15 \mathrm{~V} \). If the wiper, \( \mathrm{W} \) is \( 7.5 \mathrm{~cm} \) from \( \mathrm{A} \), what is the value of a) \( \mathrm{R} 2 \) b) \( \mathrm{V}_{\mathrm{O}} \)