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Negative charge -Q is distributed uniformly around a quarter-circle of radius a that lies in the first quadrant, with the center of curvature at the origin.Part A: Find the x-component of the net electric field at the origin.Part B: Find the y-component of the net electric field at the origin.Express your answer in terms of the variables Q , a and appropriate constants.

Question

Negative charge -Q is distributed uniformly around a quarter-circle of radius a that lies in the first quadrant, with the center of curvature at the origin.
Part A:
Find the x-component of the net electric field at the origin.
Part B:
Find the y-component of the net electric field at the origin.
Express your answer in terms of the variables Q , a and appropriate constants.

check_circleAnswer
Step 1

Write the expression for electric field due to point charge.

È=KO
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È=KO

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Step 2

Write the expression for linear charge density.

Q
L
Q
[2]
na/2
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Q L Q [2] na/2

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Step 3

Let take a small element of length ds ...

y
dQ
de
x
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y dQ de x

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