What is the work required to arrange charged objects in a right triangle?

In summary, the task is to calculate the amount of work needed to set up a configuration of three charged objects arranged on the corners of a right triangle, with one charge at -5.2 µC, another at 5.5e-6C, and the last one at 2.5e-6 C. This can be done by bringing the charges in from infinity, one at a time, and calculating the work through integration. The sides of the triangle are 12 cm and 19 cm, and the hypotenuse is 22.5 cm. The work done for the last charge is the superposition of the other two charges.
  • #1
phy112
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Homework Statement



How much work does it take for an external force to set up the arrangement of charged objects in the diagram on the corners of a right triangle? Assume that q = -5.2 µC, that d = 19 cm, and that the three objects are initially very far away from each other.

Homework Equations



W=Fed =qEd


The Attempt at a Solution


I have no clue how to start. I figured out the potential to be -1.15, I just need a nudge in the right direction
 
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  • #2


Bring the charges in from infinity, one at a time?

'd' does not completely specify a right triangle.
 
  • #3


one of the sides is 12 cm (y axis). The other side (d) is 19 cm (x axis). The hypotenuse is 22.5. I couldn't load the pic onto this website
 
  • #4


also charge 1 is 5.5e-6C charge 2 is -5.2e-6C and charge 3 is 2.5e-6 C
 
  • #5


Find the work by integration

[tex]W =\int{eE(r)dr}[/tex]

To start, put one charge at its vertex, find E(r) for the charge. Bring another charge to it's vertex, integrating the work.

For the last charge, the work done is the superposition due to the other two charges.
 

FAQ: What is the work required to arrange charged objects in a right triangle?

1. What is an external force in physics?

An external force in physics is any force acting on an object that is coming from outside of the system being studied. It can be a force applied by a person, gravity, friction, or any other external source.

2. How does an external force affect an object's motion?

An external force can either speed up, slow down, or change the direction of an object's motion. This is described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net external force acting on it.

3. Can an external force change the shape of an object?

Yes, an external force can change the shape of an object. This is known as deformation and is caused by the application of a force that exceeds the object's elastic limit. This is commonly seen in materials such as rubber bands or springs.

4. How do external forces affect the stability of a structure?

External forces can affect the stability of a structure by exerting a force that can cause the structure to bend, break, or collapse. This is why engineers must consider external forces when designing structures to ensure they can withstand external forces such as wind or earthquakes.

5. How can you calculate the net external force on an object?

The net external force on an object can be calculated by adding up all the external forces acting on the object. This includes forces such as weight, friction, and applied forces. The direction of the net external force is determined by the direction of the resulting acceleration of the object.

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