Calculate Work Done by Field to Remove 5µC Charge from Equilateral Triangle

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In summary, the conversation discussed a configuration of charges on an equilateral triangle and the desire to remove one of the charges. The question asked was how much work is done by the field when removing the charge. The conversation also mentioned a lack of knowledge on how to find the potential of a charge at a given distance.
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Homework Statement


I built a configuration of charge on an equilateral triangle with side length of 10cm shown
below. I decided however that I have one to many charges and wish to remove the 5μC charge completely. How much work is done by the field when I remove the charge?

The triangle has a -5µC up top then a 10µC on bottom left and finally a 5µC on the bottom right. Thanks for any help


Homework Equations





The Attempt at a Solution



I have no idea where to begin, thanks for any help.
 
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  • #2
Do you know the relation between work done and potential ?
And how to find the potential of a charge at a given distance?
 

1. How do you calculate the work done by a field to remove a 5µC charge from an equilateral triangle?

To calculate the work done by a field to remove a 5µC charge from an equilateral triangle, you will need to use the formula W = qΔV, where W is the work done, q is the charge, and ΔV is the change in potential energy. You will also need to know the electric field strength and the distance the charge is being moved from the triangle.

2. What is the significance of removing a 5µC charge from an equilateral triangle?

Removing a 5µC charge from an equilateral triangle can help to demonstrate the concept of electric potential energy and the work done by an electric field. It also allows us to calculate the amount of energy needed to move a charge from one point to another within the field.

3. How does the distance of the charge from the equilateral triangle affect the work done by the field?

The work done by the field will vary depending on the distance of the charge from the equilateral triangle. The closer the charge is to the triangle, the greater the work done will be. This is because the electric field strength is stronger closer to the triangle, resulting in a larger change in potential energy.

4. What other factors can affect the work done by the field to remove a 5µC charge from an equilateral triangle?

The work done by the field can also be affected by the magnitude of the charge being moved, the orientation of the equilateral triangle, and any external forces acting on the charge.

5. Can the work done by the field be negative when removing a 5µC charge from an equilateral triangle?

Yes, the work done by the field can be negative when removing a 5µC charge from an equilateral triangle. This occurs when the charge is moving in the opposite direction of the electric field, resulting in a decrease in potential energy.

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