<p>Small distances are commonly measured capacitively.Consider an air-filled parallel-plate capacitor with fixed platearea and a variable plate-separation distance . Assume thiscapacitor is attached to a capacitance-measuring instrument whichcan measure capacitance in the range 3.0 to 3000.0 with an accuracyof 0.6 . <br />Define to be the accuracy (magnitude) to whichcan be determined, and determine a formula for Δx.<br/>Express your answer in terms of the variables , x,Δc,A and appropriate constants.</p>
<p>Determine the percent accuracy to which <imgsrc="http://session.masteringphysics.com/render?tex=x_%7B%7B%5Crm%7Bmin%7D%7D%7D"alt="x_{{\rm{min}}}" align="middle" /> and <imgsrc="http://session.masteringphysics.com/render?tex=x_%7B%7B%5Crm%7Bmax%7D%7D%7D"alt="x_{{\rm{max}}}" align="middle" /> can bemeasured.</p>
<div class="partInstructions">Express your answers using onesignificant figure. Enter your answers numerically separated by acomma.</div>
<div class="partInstructions"> <imgsrc="http://session.masteringphysics.com/render?tex=%5Cfrac%7B%5CDelta+x_%7B%5Cmin%7D%7D%7Bx_%7B%5Cmin%7D%7D"alt="\frac{\Delta x_{\min}}{x_{\min}}" align="middle" />,<imgsrc="http://session.masteringphysics.com/render?tex=%5Cfrac%7B%5CDelta+x_%7B%5Cmax%7D%7D%7Bx_%7B%5Cmax%7D%7D"alt="\frac{\Delta x_{\max}}{x_{\max}}" align="middle"/>  =</div>
<p>Small distances are commonly measured capacitively.Consider an air-filled parallel-plate capacitor with fixed platearea and a variable plate-separation distance . Assume thiscapacitor is attached to a capacitance-measuring instrument whichcan measure capacitance in the range 3.0 to 3000.0 with an accuracyof 0.6 . <br />Define to be the accuracy (magnitude) to whichcan be determined, and determine a formula for Δx.<br/>Express your answer in terms of the variables , x,Δc,A and appropriate constants.</p>
<p>Determine the percent accuracy to which <imgsrc="http://session.masteringphysics.com/render?tex=x_%7B%7B%5Crm%7Bmin%7D%7D%7D"alt="x_{{\rm{min}}}" align="middle" /> and <imgsrc="http://session.masteringphysics.com/render?tex=x_%7B%7B%5Crm%7Bmax%7D%7D%7D"alt="x_{{\rm{max}}}" align="middle" /> can bemeasured.</p>
<div class="partInstructions">Express your answers using onesignificant figure. Enter your answers numerically separated by acomma.</div>
<div class="partInstructions"> <imgsrc="http://session.masteringphysics.com/render?tex=%5Cfrac%7B%5CDelta+x_%7B%5Cmin%7D%7D%7Bx_%7B%5Cmin%7D%7D"alt="\frac{\Delta x_{\min}}{x_{\min}}" align="middle" />,<imgsrc="http://session.masteringphysics.com/render?tex=%5Cfrac%7B%5CDelta+x_%7B%5Cmax%7D%7D%7Bx_%7B%5Cmax%7D%7D"alt="\frac{\Delta x_{\max}}{x_{\max}}" align="middle"/>  =</div>
