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a)A point charge of 2 × 10−9 C is located at the origin. What is the magnitude of the electric field at location ⟨0.4,0,0⟩ m?b) Next, a short, straight, thin copper wire 8 mm long is placed along the x-axis with its center at location ⟨0.2,0,0⟩ m. What is the approximate change in the magnitude of the electric field at location ⟨0.4,0,0⟩ m? (Approximate the polarized charges on the short copper wire as a dipole, and when calculating your answer, take the center of the wire as the point at which the net electric field is zero.)

Question

a)A point charge of 2 × 10−9 C is located at the origin. What is the magnitude of the electric field at location ⟨0.4,0,0⟩ m?

b) Next, a short, straight, thin copper wire 8 mm long is placed along the x-axis with its center at location ⟨0.2,0,0⟩ m. What is the approximate change in the magnitude of the electric field at location ⟨0.4,0,0⟩ m? (Approximate the polarized charges on the short copper wire as a dipole, and when calculating your answer, take the center of the wire as the point at which the net electric field is zero.)

check_circleAnswer
Step 1

 

The below diagram represents the charge q that is placed at the origin, and a dipole placed on the x axis at a distance of 0.2m.

d=gmm
+9
O-4
0-2m
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Image Transcriptionclose

d=gmm +9 O-4 0-2m

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Step 2

(a)  Write the expression for electric field, and substitute 9×109 N for k,...

kq
E =
(9x10'N)(2x10 C)
(0.4m)
=112.5N/C
2
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Image Transcriptionclose

kq E = (9x10'N)(2x10 C) (0.4m) =112.5N/C 2

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