RC-2 A half ring of charge lies in the x-z plane with its center at the origin as shown to the right. There are λ coulombs per meter of charge evenly distributed along the ring, which has radius 'a'. a) Sketch on your paper figures like the figures shown to the right. On your figures show an arrow representing the electric field at the point P that is produced by source charge element dq. b) Use Coulomb's law to calculate the magnitude of the x, y and z components of the total electric field at P due to the half ring of charge. If any component is equal to zero, you may use the symmetry argument to explain why it is zero instead of doing the calculations. 3D view: Z (C/m) X dq View looking from point P toward the origin: dq b a 9 y

RC-2 A half ring of charge lies in the x-z plane with its center at the origin as shown to the right. There are λ coulombs per meter of charge evenly distributed along the ring, which has radius 'a'. a) Sketch on your paper figures like the figures shown to the right. On your figures show an arrow representing the electric field at the point P that is produced by source charge element dq. b) Use Coulomb's law to calculate the magnitude of the x, y and z components of the total electric field at P due to the half ring of charge. If any component is equal to zero, you may use the symmetry argument to explain why it is zero instead of doing the calculations. 3D view: Z (C/m) X dq View looking from point P toward the origin: dq b a 9 y

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

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RC-2 A half ring of charge lies in the x-z plane
with its center at the origin as shown to
the right. There are λ coulombs per
meter of charge evenly distributed along
the ring, which has radius 'a'.
a) Sketch on your paper figures like the
figures shown to the right. On your
figures show an arrow representing
the electric field at the point P that is
produced by source charge element dq.
b) Use Coulomb's law to calculate the
magnitude of the x, y and z components
of the total electric field at P due to the
half ring of charge. If any component
is equal to zero, you may use the symmetry
argument to explain why it is zero instead
of doing the calculations.
3D view: ZI
(C/m)
X
dq
b
View looking from point P toward the origin:
Z
dq
0

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