5. Imagine two thin, semicircles of charge, Q and -Q that together form a circle of radius a in the xy plane, as shown. a. Find the electric field along the positive 2-axis for this arrangement of charge. b. By looking in the limit, z» a, can you determine the electric dipole moment vector p of this arrangement of charge? Hint: The idea is to match what you find here in this limit with the standard form for a dipole either along the axis or in the bisecting plane from lecture-whichever is the appropriate case.

5. Imagine two thin, semicircles of charge, Q and -Q that together form a circle of radius a in the xy plane, as shown. a. Find the electric field along the positive 2-axis for this arrangement of charge. b. By looking in the limit, z» a, can you determine the electric dipole moment vector p of this arrangement of charge? Hint: The idea is to match what you find here in this limit with the standard form for a dipole either along the axis or in the bisecting plane from lecture-whichever is the appropriate case.

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

5. Imagine two thin, semicircles of charge, Q and -Q that together form a circle
of radius a in the xy plane, as shown.
a. Find the electric field along the positive 2-axis for this arrangement of charge.
b. By looking in the limit, z » a, can you determine the electric dipole moment
vector p of this arrangement of charge? Hint: The idea is to match what you
find here in this limit with the standard form for a dipole either along the axis
or in the bisecting plane from lecture-whichever is the appropriate case.
Q
-Q

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Step 1: Determine the given variables.

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Step 2: Determine the field at P due to elemenrtry strip of half ring

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Step 3: Determine the field at P due to half ring

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Step 4: Determine the field at P due to both half ring.

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Step 5: Determine the field and dipole when z>>a

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