How Do You Calculate Electric Field and Potential Between Two Charges?

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To calculate the electric field and potential between two charges, the magnitude and direction of the electric field at the midpoint must be determined using the formula F = kqQ/r², considering the distance between the charges. For electric potential, the formula V = w/q can be applied, but clarification on the total potential from both charges is needed. The work required to bring a charge from infinity to the midpoint can be calculated using the potential found in part b. Additionally, for the problem regarding potential at different points in a uniform electric field, the relationship E = V/d should be used to find the potential difference. Understanding these principles is crucial for solving the problems effectively.
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A Charge of 3.2x10-6 sits .025 m from a charge of -1.6x-6

a. Calculate the magnitude and direction of the E-filed at a point directly between the 2 charges

b. calculate the electric potential (relative to V = 0 at infinity) at the point directly between the two charges

c. Calculate the work needed to bring a 1x10-6 charge from infinity to the point between the two charges

19. A 2000 V/m electric field is directed along the +x-axis. If the potential at x = 10 m is 800 V, what is the potential at x = 6m?
A. 8800V
B. 2000V
C. 7200V
D. 1600V

Homework Equations


F = kqQ/r2
V= w/q

The Attempt at a Solution



a. F=9x10^9*-1.6x10^-6/.025^2
=-73.728 N

b. I don't know, v=w/q uses only one charge, and I don't know any other formulas. Some sort of clue, a formula, would be great

c. I think if I knew how to do part b I could do part c

19. I know that as you get closer, the potential increase, so the answer can't be B or D.
However, I don't know any formula that could tell me how to find the answer.

Help please?
 
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For (a), you have the correct formula but the distance should be half of .025 since the point you are calculating is midway between the two charges. Also, you must use the formula twice to calculate the E due to each of the two charges. Add them together if they are in the same direction.
 
Thank you, for part c would it be v=w/q with my anwser from part b?

Also do you know to do 19?

Thank very much
 
Yes on part c.
For 19, you must use E = V/d where the V should really be delta V, the potential difference between the two points separated by distance d.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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