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

ID: 2134262 • Letter: F

Question

Four point charges each having charge Q are located at the corners of a square having sides of length a.

(a) Find an 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: ke.)




V = ________




(b) Find an expression for the work required to bring a fifth charge q from infinity to the center of the square. (Use any variable or symbol stated above along with the following as necessary: ke.)




W =__________

Explanation / Answer

here r=a/sqrt(2) so the total electric potential at the center of the square due to the four charges.= 4*k*Q/[a/sqrt(2)] V=5.656k*Q/a, where k=1/4*pi*Eo = 9x10^9
2) w=-qV =-5.656k*Q*q/a
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