Another Electrical Field Question

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To calculate the work required to move a test charge of +1.0x10^-6 C from 100 m to 40 cm from a charged sphere of 3.2x10^-3 C, one must use the formula for electric force and integrate it over the distance. The work done is equal to the negative integral of the force over the displacement. For part b, to determine how many electrons were gained or lost to create the test charge, one should divide the charge by the elementary charge (approximately 1.6x10^-19 C). Understanding these calculations is essential for solving the problem effectively.
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A test Charge of +1.0x10^-6 C is 40cm from a charged sphere of
3.2x10^-3 C.

a)how much work was required to move it there from a point 1.0x10^2m away from the sphere

b)how many electrons were gained or lost from the test object to create the charge?

Given: q1 = 1.0x10^-6 C q2 = 3.2x10^-3 C

Would i first need to calculate: Fe = k (q1)(q2)/r2 ? and then plug that into W = F (delta D)
 
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I don't think you can just plug it in -- You can integrate the force multiplied by delta-d as one charge is brought from the initial separation into the final configuration...
 
i still don't understand how to do this question.. please someone help me !
=(
 
I don't understand the question in part b.

Part a) recall that the work done by a conservative force is equal to the negative integral of force dot displacement.
 
For part b) only concern yourself with the test charge. It is +1.0*10^-6 C.

How many electrons were gained or lost from the test object to create that charge?
 
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