XQ -a +Q +Q + a +2a I A positive point charge +Q is located at x = -a. Assuming that the electric potential at infinity is zero, what is the electric potential energy of the system after an external agent brings in a second equal positive charge +Q from infinity to z = +a? (b) With the two equal point charges at r = -a and x = +a, what is the total electric potential energy of the system when an external agent brings in a third charge -Q from infinity to the origin? (c) By how much does the electric potential energy change when the charge -Q is moved from the origin to the point x = +2a along the semicircular path shown? Hint: how is the electric potential energy related to the electric potential? 0 +Q Q. +a

XQ -a +Q +Q + a +2a I A positive point charge +Q is located at x = -a. Assuming that the electric potential at infinity is zero, what is the electric potential energy of the system after an external agent brings in a second equal positive charge +Q from infinity to z = +a? (b) With the two equal point charges at r = -a and x = +a, what is the total electric potential energy of the system when an external agent brings in a third charge -Q from infinity to the origin? (c) By how much does the electric potential energy change when the charge -Q is moved from the origin to the point x = +2a along the semicircular path shown? Hint: how is the electric potential energy related to the electric potential? 0 +Q Q. +a

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Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

+Q
+Q
-a
+Q
+ a + 2a
A positive point charge +Q is located at x = -a. Assuming that the electric potential
at infinity is zero, what is the electric potential energy of the system after an external agent
brings in a second equal positive charge +Q from infinity to x = +a? (b) With the two
equal point charges at x = -a and x = +a, what is the total electric potential energy of
the system when an external agent brings in a third charge -Q from infinity to the origin?
(c) By how much does the electric potential energy change when the charge - Q is moved
from the origin to the point x = +2a along the semicircular path shown? Hint: how is the
electric potential energy related to the electric potential?
+Q Q:
0 +a

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