we also know that the charge on a pair of parallel plates isproportional to the

Question

we also know that the charge on a pair of parallel plates isproportional to the potential difference V, namelyq=CV. We also know that the capacitanceof two parallel plates is given byC=0A/d,
where 0=8.85×10-12 isthe permittivity of free space and d is the separationbetween the plates. Combine these equations and to get the force asa function of the potential. So now if you were to make a graph offorce (F) vs.V2/d2, the slope of thegraph would be 0A/2

So now let's say that you find a slope of1.120×10-13 for square plates of width 16.5 cm.What do you get for the value of the permittivity of freespace?


If the uncertanty in the slope is3.921×10-15, is the measured value of0 within experimental uncertainty of theaccepted value?

YES
NO
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Explanation / Answer

the slope of the graph is (oA/2) = 1.120 * 10^-13 ----------(1) the width of the plates is a = 16.5 cm = 16.5 * 10^-2 m from (1) o= (2 * 1.120 * 10^-13/A) = (2 * 1.120 *10^-13/a^2) the measured value of o is within theexperimental uncertainity of the accepted value.This is because theuncertainity in the slope is very small and hence the values of xchanges radiply with the values of y.

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