Answer to Question #206810 in Differential Equations for Anurag

Question

In a two-dimensional electric field, it is known that the electric field lines and equipotential lines are orthogonal to each other. Given that the electric lines of force of two opposite charges of the same strength are circles passing through the points (0, 3) and (0, -3). Determine the following:

a. Obtain the equipotential lines

b. Trace the given electric lines and the orthogonal equipotential lines.

Answer 1

Electric field line:

An electric field line is an imaginary line or curve drawn through a region of empty space so that its tangent at any point is in the direction of the electric field vector at that point. The relative closeness of the lines at some place gives an idea about the intensity of electric field at that point.

 Equipotential lines:

An equipotential line is a line along which the electric potential is constant. · An equipotential surface is a three-dimensional version of equipotential lines.

electric lines due to point charges are:

equipotential lines are obtained by drawing them from leaving the positive charge and entering into the negative charge.

equipotential lines of same are:

Equipotential line are drawn on those which have the same potential.Thus equipotential lines are shown in the below figure.

electric lines and orthogonal equipotential lines are: