Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q.Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a.Express your answer in terms of the variables Q, a, r, and and appropriate constants. Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a.Express your answer in terms of the variables Q, a, x, and appropriate constants. Calculate the magnitude of the force that the charge distribution Q exerts on q.Express your answer in terms of the variables Q, q, a, r, and appropriate constants. Calculate the direction of the force that the charge distribution Q exerts on q.

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Asked Sep 15, 2019
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Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q.

Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a.
Express your answer in terms of the variables Q, a, r, and and appropriate constants.
 
Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a.
Express your answer in terms of the variables Q, a, x, and appropriate constants.
 
Calculate the magnitude of the force that the charge distribution Q exerts on q.
Express your answer in terms of the variables Q, q, a, r, and appropriate constants.
 
Calculate the direction of the force that the charge distribution Q exerts on q.
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Expert Answer

Step 1

The charge Q is uniformly distributed along the axis x = 0 to x = a. The linear charge density of the charge distribution is

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a

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Step 2

The charge across the small segment is

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dQ Adx dx

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Step 3

The electric field strength due...

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δν Απε, (α+r- 3) 1 dE, 'Χ λάκ 1 Ε. х (а +r- х)" 2 (a rx) 4те, Ο λ 1 4πε, | (α +r- x). λ 1 1 4πε, r α+r 1 1 4πε,α (r α+r

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