Question

Positive charge Q is distributed uniformly along the positive *y*-axis between y=0 and y=a. A negative point charge −q lies on the positive *x*-axis, a distance x from the origin

Calculate the *x*-component of the electric field produced by the charge distribution Q at points on the positive *x*-axis.

Express your answer in terms of the variables Q, x, y, a and appropriate constants.

Calculate the *y*-component of the electric field produced by the charge distribution Q at points on the positive *x*-axis.

Express your answer in terms of the variables Q, x, y, a and appropriate constants.

Calculate the *x-*component of the force that the charge distribution Q exerts on q.

Express your answer in terms of the variables Q, q, x, y, a and appropriate constants.

Calculate the *y-*component of the force that the charge distribution Q exerts on q.

Express your answer in terms of the variables Q, q, x, y, a and appropriate constants.

Step 1

The uniform charge distribution Q is along the positive y axis.

Step 2

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

Step 3

The charge across the s...

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