The electric field lines (solid) and the equipotential lines (dashed) in a certa

Question

The electric field lines (solid) and the equipotential lines (dashed) in a certain region of space are as shown in the figure. When a positive charge is moved from point A to point D, the work done by the electric field is greater than the work done by the field when the same charge is moved from point B to point C equal to the work done by the field when the same charge is moved from point B to point C. less than the work done by the field when the same charge is moved from point B to point C. Explain briefly. (3 points) Is the potential energy of a positive charge at B greater than, less than, or equal to the potential energy of a positive charge at C? Explain briefly. (3 points) Is the potential energy of a negative charge at B greater than, less than, or equal to the potential energy of a negative charge at C? Explain briefly. (3 points) Is the electric potential at B greater than, less than, or equal to the electric potential at C? Explain briefly. (3 points)

Explanation / Answer

before answer some conceptual think should be developed ... to move a charge in an electric field against its natural direction of motion would require work. The exertion of work by an external force would in turn add potential energy to the object. The natural direction of motion of an object is from high energy to low energy; but work must be done to move the object against nature. On the other hand, work would not be required to move an object from a high potential energy location to a low potential energy location. When this principle is logically extended to the movement of charge within an electric field, the relationship between work, energy and the direction that a charge moves becomes more obvious... answers are... a.. becuse from A to D longer distance have to travel by the charge in field b..any work done on charge store as potential energy in the charge..

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