Question

Consider four 8·µC charges placed at the corners of a square, which is 3·m on a side. The charges on the top are both positive, and the charges on the bottom are both negative.

(a) Find the voltage at the center of the square.
  V

(b)Find the voltage at the midpoint of each side.

top side  V

left vertical side  V

right vertical side  V

bottom side  V

(c) How much work would it take to move a +4·µC from very far away to the center of the square?
J
(d) How much work would it take to move the same charge from the center to the midpoint of the top side?
J

(e) How much work would it take to move the same charge from the midpoint of the top side to the midpoint of the bottom side?
J

Answer 1

d) .

W=-q(∆V)=-q(V_A-V_c)

herr V_A=53.06×10³ V, Vc =0 q=4×10^-6 C

W=-4×10^-6×53.06×10³

W=-0.21224 J Answer

e) similarly W=-q(V_D -V_A)

W=-4×10^-6(-53.06×10³-53.06×10³)

W=0.42448 J