Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Five Charge Square
We have four charges, each of which has size given by some integer A, B, C, or D times q, where q = 4.25E – 07 C. The charges sit
in a plane at the corners of a square whose sides have length d = 15 cm as shown in the diagram below. A charge, of size Eq, is
placed at the origin at the center of the square.
Aq
Bq
Eq
Dq
Cq
square of side length, d
Force X-Component
Let A = 4, B = 8, C = 5, D = 2, and E = -4. Consider the charge at the center of the square, Eq. What is the net x-component of
the force on this charge?
fz = -25.75N
Force Y-Component
What is the net force in the y-direction on the center charge?
fy= -6732420N
Conceptual
Consider the situation as described above with A=B=C=D%3D1,E=-1. For the following, check each box that corresponds to a true
statement. Select "None of the above" if none of them are true.
OA. If one were to double the magnitude of the upper-right-hand positive charge, the negative charge would be in equilibrium.
OB. If one were to triple the magnitude of the negative charge, the negative charge would be in equilibrium.
OC. The equilibrium point at the center is an unstable equilibrium for the motion of the negative charge in the plane of the
square.
OD. The sum of the forces on the center charge in the x-direction equals zero.
OE. The equilibrium point at the center is a stable equilibrium for the negative charge for motion perpendicular to the plane of
the square.
OF. None of the above.
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Transcribed Image Text:Five Charge Square We have four charges, each of which has size given by some integer A, B, C, or D times q, where q = 4.25E – 07 C. The charges sit in a plane at the corners of a square whose sides have length d = 15 cm as shown in the diagram below. A charge, of size Eq, is placed at the origin at the center of the square. Aq Bq Eq Dq Cq square of side length, d Force X-Component Let A = 4, B = 8, C = 5, D = 2, and E = -4. Consider the charge at the center of the square, Eq. What is the net x-component of the force on this charge? fz = -25.75N Force Y-Component What is the net force in the y-direction on the center charge? fy= -6732420N Conceptual Consider the situation as described above with A=B=C=D%3D1,E=-1. For the following, check each box that corresponds to a true statement. Select "None of the above" if none of them are true. OA. If one were to double the magnitude of the upper-right-hand positive charge, the negative charge would be in equilibrium. OB. If one were to triple the magnitude of the negative charge, the negative charge would be in equilibrium. OC. The equilibrium point at the center is an unstable equilibrium for the motion of the negative charge in the plane of the square. OD. The sum of the forces on the center charge in the x-direction equals zero. OE. The equilibrium point at the center is a stable equilibrium for the negative charge for motion perpendicular to the plane of the square. OF. None of the above.
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