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4. This Problem Will Ask You To Work Out A Few Unrelated Questions With Relation To The Electrostati

4. This problem will ask you to work out a few unrelated questions with relation to the electrostatic potential. (a) (10 points) A charge dQ located a distance R to the left of point P creates an electrostatic potential 1 da dV = ATTEO R We will now assume that the charge is homogenously distributed along an arch of radius R centered around point P; the linear charge distribution given by = Establish the appropriate integral, and find the electrostatic potential at point P.
(b) (15 points) The figure below shows three arrangements of charged particles, all at the same distanced from the origin. Write down al relevant expressions concerning the potential energy at each situation, and rank the situations according to the lowest-to-largest electric potential at the origin. (iii) +2g 9-29 1 -39 -29 na - 20

a) = Linear charge density = Q/(2R) Consider a small length "dl" Small Charge on the small length is given as dq =dl dq =Q dl/(2R) Small electric potential at point P is given as dV = (1/(