Sketch the equipotential lines surrounding the two conducting plates shown in Figure \({\rm{19}}{\rm{.30}}\), given the top plate is positive and the bottom plate has an equal amount of negative charge. Be certain to indicate the distribution of charge on the plates. Is the field strongest where the plates are closest? Why should it be?

Top plate is positive and bottom plate is negative.

The fee on two plates is the same.

In order to show the distribution of charge on the plates, we must first draw the equipotential lines that surround the two conducting plates. The strength of the field will next be assessed in relation to the plate's proximity.

The term "electric field" refers to a physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

Electric field lines are represented with their corresponding electric field vectors\(\mathop {\rm{E}}\limits^ \to \)tangent to the lines at all points along the lines.

Positively charged items have electric field lines that start there and terminate with negatively charged objects (these charged objects do not need to be present on the sketches).

A charged item's charge intensity is inversely correlated with the number of electric field lines at the beginning or end of that thing. Therefore, there will be twice as many electric field lines leaving a charge of \( + 2q\) and \( + q\) as there are electric field lines entering a charge of on an electric field diagram.

Therefore, the density of the electric field lines in a place is inversely related to the strength of the electric field there.

The lines do not cross; if they did, the force acting on a test charge positioned there would not be known.

The direction of the largest potential reduction is indicated by the electric field lines.

A surface on which the potential has a constant value throughout is said to be equipotential. Both are said to be perpendicular when a field line crosses an equipotential surface. The interior of a conductor's points are all at the same potential when all charges are at rest, and the surface of the conductor is always an equipotential surface. When a conductor's cavity is empty of charge, the whole cavity is an equipotential zone and the cavity's surface is devoid of all surface charges.

There is no surface charge present anywhere on the cavity's surface since it is an equipotential zone.

The potential difference between the two points separates each by a distance \({\rm{d}}\) in an uniform electric field of magnitude \(E\) is: \(\Delta V{\rm{ }} = {\rm{ }}Ed\).

We will sketch the electric field for the given charge distribution. The equipotential lines are then drawn perpendicular to the electric field lines. The sketch of the equipotential lines and the charge distribution on the plates is shown in the figure below as:

According to the above equation, the electric field strength is inversely proportional to the distance between the plates. So, the field is strongest when the plates are closest.

Therefore, Field is said to be the strongest when the plates are closest to each other.