In: Physics
Consider a charge configuration in which a point charge of strength +50 nC is placed at (x, y, z) = (+2.0, 0, 0) m, and another point charge, of strength −25 nC, is placed at (x, y, z) = (−2.0, 0, 0) m.
(i) Calculate an expression for the electric potential along the x-axis between the two charges.
Hint: exercise care with how you define the value for r for each charge.
(ii) Make a rough plot (by hand) of the potential along the x-axis between the two
charges.
(iii) Use your expression to calculate the electric field along the x-axis between the two charges, and confirm that the direction of the field is correctly obtained.
(iv) A test charge of strength +10 nC is placed at (x, y, z) = (−1.0, 0, 0) m. It is then moved to (x,y,z) = (+1.0,0,0) m. By how much has the test charge’s electrical potential energy changed when moved?