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(Electric field) If the equipotential lines in a region of

Chapter 1, Problem 39

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QUESTION:

(Electric field) If the equipotential lines in a region of the x)"-plane are 4x2 + y2 = c, what are the curves of the electIical force? Sketch both families of curves.

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QUESTION:

(Electric field) If the equipotential lines in a region of the x)"-plane are 4x2 + y2 = c, what are the curves of the electIical force? Sketch both families of curves.

ANSWER:

                                                         

Step1 of 2

The angle of intersection between the two curves is defined as the angle between the tangents of the curves at the intersection point. If the angle between the tangents of the two curves is  then the two curves are said to be orthogonal.

To find out the orthogonal equation of the trajectories.

Replace   and then find the expression in terms of  and .

Equipotential surface in electric filed is a surface where all the points are at the same value.

                                                           

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