Chapter 19, Problem 26 Four identical charges (+1.9 uC each) are brought from in

Question

Chapter 19, Problem 26 Four identical charges (+1.9 uC each) are brought from infinity and fixed to a straight line. Each charge is 0.51 m from the next. Determine the electric potential energy of this group. Number The number of significant digits is set to 2; the tolerance is +/-3% Click if you would like to Show Work for this question: Open Show Work Units LINK TO TEXT SAVE FOR LATER Question Attempts: 0 of 5 used Copyright © 2000-2017 by John Wiley & Sons, Inc. or related companies. All rights reserved.

Explanation / Answer

Eletrostatic potential energy of two point charge system is given as,

PE = k q1 q2 / r

Here q1 = q2 = q = 1.9 x 10^-6
POtential energy of system,

PE = 3 [ k q^2 / 0.51 ] + 2[ k q^2 / (2 x 0.51)] + [ k q^2 / ( 3 x 0.51)]

PE = (k q^2 ) [ 3/0.51 + 1/0.51 + 1/1.53]

PE = 8.50 k q^2

= (8.50)(9 x 10^9) (1.9 x 10^-6)^2

= 0.276 J

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