Example 18.3 from College Physics, 18.4 Electric Field: Concept of a Field Revisited
What force does the electric field found in the previous example exert on a point charge of ?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Since we know the electric field strength and the charge in the field, the force on that charge can be calculated using the definition of electric field rearranged to .
The magnitude of the force on a charge exerted by a field of strength N/C is thus,
Because is negative, the force is directed opposite to the direction of the field.
The force is attractive, as expected for unlike charges. (The field was created by a positive charge and here acts on a negative charge.) The charges in this example are typical of common static electricity, and the modest attractive force obtained is similar to forces experienced in static cling and similar situations.
How did it go?