Four point charges with equal magnitude q are placed at the corners of a square, with a distance from each corner to the center of the square a. Two of the charges are positive, and one of them is negative, as shown below. A fifth charge Q is then brought from far away to the center of the square. b- a) By how much does the potential energy of the system change when the charge Q is brought to the center of the square? Your answer should be in terms of a, q, Q, and fundamental b- constants. a +q b) After it is brought to the center of the square, what is the force (magnitude and direction) on the charge Q? Your answer should be in terms of a, q, Q, and fundamental constants.

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Chapter1: Units, Trigonometry. And Vectors
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Four point charges with equal magnitude q are placed at the corners of a square, with a distance
from each corner to the center of the square a. Two of the charges are positive, and one of them
is negative, as shown below. A fifth charge Q is then brought from far away to the center of the
square.
b-
a) By how much does the potential energy of the system change
when the charge Q is brought to the center of the square? Your
answer should be in terms of a, q, Q, and fundamental
b-
constants.
a
+q
b) After it is brought to the center of the square, what is the force (magnitude and direction) on
the charge Q? Your answer should be in terms of a, q, Q, and fundamental constants.
Transcribed Image Text:Four point charges with equal magnitude q are placed at the corners of a square, with a distance from each corner to the center of the square a. Two of the charges are positive, and one of them is negative, as shown below. A fifth charge Q is then brought from far away to the center of the square. b- a) By how much does the potential energy of the system change when the charge Q is brought to the center of the square? Your answer should be in terms of a, q, Q, and fundamental b- constants. a +q b) After it is brought to the center of the square, what is the force (magnitude and direction) on the charge Q? Your answer should be in terms of a, q, Q, and fundamental constants.
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