Four point charges each having charge Q are located at the corners of a square h

Question

Four point charges each having charge Q are located at the corners of a square having sides of length a. (a) Find a symbolic expression for the total electric potential at the center of the square due to the four charges (Use any variable or symbol stated above along with the following as necessary: k_e.) V_total = (b) Find a symbolic expression for the work required to bring a fifth charge p from infinity to the center of the square (Use any variable or symbol stated above along with the following as necessary: k_e.) W = Three charges are situate at corners of a rectangle as in the figure below. How much energy would be expended in moving the 8.0 mu C charge to infinity? -9.08 J

Explanation / Answer

Q7.

part a:

electric potential due to a charge at a distance is given by k*charge/distance

where k is coloumb's constant

here all the charges are at a distance of a/sqrt(2) from the center

so total electric potential=4*potential due to each charge

=4*k*Q/(a/sqrt(2))=4*sqrt(2)*k*Q/a

part b:

work required=charge*potential difference

=p*4*sqrt(2)*k*Q/a

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