Part A

The potential as a function of position $\backslash ($ x $\backslash )$ is shown in the graph in the figure. Which statement about the electric field is true?

The electric field is zero at $\backslash ($ x$=0\backslash ),$ its magnitude is at a maximum at $\backslash ($ x$=15\backslash$mathrm$\{$~cm$\}\backslash ),$ and the field is directed to the left there.

The electric field is zero at $\backslash ($ x$=5\backslash$mathrm$\{$~cm$\}\backslash ),$ its magnitude is at a maximum at $\backslash ($ x$=0\backslash ),$ and the field is directed to the right there.

The electric field is zero at $\backslash ($ x$=5\backslash$mathrm$\{$~cm$\}\backslash ),$ its magnitude is at a maximum at $\backslash ($ x$=20\backslash$mathrm$\{$~cm$\}\backslash ),$ and the field is directed to the right there.

The electric field is zero at $\backslash ($ x$=10\backslash$mathrm$\{$~cm$\}\backslash ),$ its magnitude is at a maximum at $\backslash ($ x$=5\backslash$mathrm$\{$~cm$\}\backslash ),$ and the field is directed to the left there.

The electric field is zero at $\backslash ($ x$=0\backslash ),$ its magnitude is at a maximum at $\backslash ($ x$=5\backslash$mathrm$\{$~cm$\}\backslash ),$ and the field is directed to the right there.