This report should adhere to a more formal lab report structure. You can see what that entails here.
It can be shown that the analytical prediction for the potential in between the two conducting rings will be described by the expression: $$ \begin{equation} V(r) = A \ln \left( \frac{r}{r_a} \right) \label{eq:potentialfunction} \end{equation} $$ where $A$ is a constant determined by the actual potential difference between the two rings.
1. Prepare a plot of your Potential vs. Position data using the averages for the voltage measurements at various positions. It should resemble a log function.
2. Also plot $V$ vs. $\ln(r)$. This should be a straight line.
3. Use the above to establish a value for the constant $A$. What units should it have?
The relation between fields and potential is given by: $$ \begin{equation} E_x = - \frac{\Delta V}{\Delta x} \label{eq:fieldgradpot} \end{equation} $$
3. Use equation \eqref{eq:fieldgradpot} and \eqref{eq:potentialfunction} to obtain an expression for the electric field.
4. Make an analytical plot of the electric field as a function of position between the rings, $E(r)$
5. On the sheet provided here, draw the equipotential lines corresponding to 1, 2, 3, and 4 V at approximately the correct locations based on your data and understanding of equation \eqref{eq:potentialfunction}.
6. Also draw several field lines indicating the direction of the electric field between the rings.
Submit this visualization along with the rest of the lab write-up.