Four charged particles are fixed at the corners of a square with side lengths of
ID: 1588097 • Letter: F
Question
Four charged particles are fixed at the corners of a square with side lengths of 0.60 meters. The square is oriented so that its edges are aligned N-S and E-W. The particles each have a charge of 4.0 nC. An electron that is free to move is introduced 0.5 meters to the north of the square, directly from the center of the square.
A) What is the electric field at the location of the electron? (Magnitude and direction)
B) What is the electrostatic potential at the location of the electron?
C) What is the electrostatic force on the electron?
D) What is the work required for an external agent to bring the electron to this location from infinity?
Explanation / Answer
a) Electric field at location of electron = 2*8.98*109*4*10-9*sin33.69/0.362 + 2*8.98*109*4*10-9*sin69.44/0.8542
= 307.48 + 92.23
= 399.709 N/C --------------------> towards + y axis (NS direction)
b) electrostatic potential at the location of the electron =2*8.98*109*4*10-9/0.36 + 2*8.98*109*4*10-9/0.854
= 199.55 + 84.121
= 283.67 V
c) electrostatic force on the electron = 1.6*10-19*399.709
= 6.39*10-17 N -------------------> towards -ve y axis
d) work required for an external agent = 1.6*10-19*283.67
= 4.538*10-17 J
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