Three charged balls, with charges of +q, ?3q, and +2q, are placed at the corners of...
Three charged balls, with charges of +q, ?3q, and +2q, are placed at the corners of a square that measures L = 50.0 cm on each side, as shown in the figure. The value of q is 2.30 10-6 C. Assume that the potential an infinite distance from the charges is zero.
(a) What is the electric potential at the lower left corner of the square, due to the three charges?
(b) What is the electric potential at the center of the square, due to the three charges?
Homework Answers
Given that
Three charged balls, with charges of +q, −3q, and +2q, are placed at the corners of a square that measures L = 50.0 cm on each side,
The value of q is = 2.30 10-6C.
A)
The electric potential at the lower left corner of the square, due to the three charges is given by
V =kq/L+2kq/L-3kq/Sqrt(2L2)
=kq[1/L+2/L-3/Sqrt(2)L]
=9*109*2.30 10-6 C*[3/0.5-3/1.414*0.5]
=9*109*2.30 10-6 C*[6-4.243]=77.769*103V =7.7769*104V/C
b)
The electric potential at the center of the square, due to the three charges is
V =kq/L+2kq/L-3kq/Sqrt(2L2)
=kq[1/L+2/L-3/Sqrt(2)L]
= 0
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