Potential Due to a Group of Point Charges

In summary, the conversation involves a problem where the potential at the origin is affected by the movement of a second charge. The individual has received incorrect values for the first and second attempts, and is seeking assistance in understanding the correct approach to solving the problem. They suggest using the distance and potential at the origin to calculate the value of the first charge, and then using this value and the known distance of the second charge from the origin to calculate the value of the second charge.
  • #1
queenspublic
59
0

Homework Statement



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Homework Equations



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The Attempt at a Solution



First time: I got -1.468e-19 which is wrong.
Second time: I got -6.407e-19 which is wrong.

q1 = 3.337e-19 ?
 
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  • #2
can't quite follow your working, here's how I would look at it:

q1 is located at distance d from the origin

The graph gives the potential at the origin, as q2 charge is moved a distance x away from the origin.

Unknowns:
q1
q2

when the 2nd charge is at infinity, the potential at the origin, V, will be only due to q1, use this to calculate q1 in terms of V & d.

Then pick a suitable point from you graph, the zero crossing, x = 8, seems the easiest to me,

you know q1 is d from the origin & q2 is x from the origin, and the net potential is zero, us these facts to calculate q2.
 

FAQ: Potential Due to a Group of Point Charges

What is potential due to a group of point charges?

Potential due to a group of point charges is a measure of the energy that a collection of point charges possess as a result of their interactions with each other. It is also known as electric potential energy or simply potential energy.

How is potential due to a group of point charges calculated?

The potential due to a group of point charges is calculated by summing up the individual potentials of each point charge at a given point in space. The formula for finding the potential due to a single point charge is V = kq/r, where V is the potential, k is Coulomb's constant, q is the charge of the point charge, and r is the distance between the point charge and the point in space.

Can the potential due to a group of point charges be negative?

Yes, the potential due to a group of point charges can be negative. This occurs when the charges in the group have opposite signs and are attracting each other. In this case, the potential energy of the system is considered negative, indicating that work would need to be done to separate the charges.

How does the distance between point charges affect potential due to a group of point charges?

The potential due to a group of point charges is directly proportional to the distance between the charges. As the distance increases, the potential decreases. This is because the force between the charges decreases with distance, resulting in a decrease in potential energy.

Is potential due to a group of point charges a scalar or vector quantity?

Potential due to a group of point charges is a scalar quantity. This means that it has magnitude but no direction. Unlike electric field, which is a vector quantity, potential only tells us about the amount of energy in a system, not the direction in which it is moving.

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