What Determines Points of Zero Net Electric Potential Between Charged Particles?

[rishid]

Need a little help with a homework problem, I don't seem to understand the theory behind this.

Figure 25-23 shows four pairs of charged particles. Let V = 0 at infinity.

http://www.webassign.net/hrw/25_23.gif
Figure 25-23.

(a) For which pairs is there another point of zero net electric potential on the axis M between the particles?
ChkBox 4
ChkBox 2
ChkBox none
ChkBox 1
ChkBox 3

(b) For which pairs is there another point of zero net electric potential on the axis M to their right?
ChkBox 2
ChkBox 1
ChkBox 4
ChkBox none
ChkBox 3

If you can just give me some hints on where to start or what to look for, would appreiciate it.

Thanks for your time,
RishiD

 

[spacetime]

The electric potential is given by

$$V = \frac{kQ}{r}$$

So, you need to add the potentials of both the charges in all the situations at the place where the potential is desired. ( put proper sign of the charge ).

Without doing the calculations, you can see where the potential can come out be zero. ( if you take care of the negative and positive terms )


spacetime
www.geocities.com/physics_all/index.html

 

[wais]

The concept of net electric potential involves the idea of electric potential energy, which is the potential energy that a charged particle possesses due to its position in an electric field. Electric potential is a measure of this potential energy per unit charge at a given point in space. In other words, it is the amount of work that would be required to move a unit positive charge from infinity to that point in the electric field.

To understand the theory behind this, it is important to know that electric potential is a scalar quantity, meaning it only has magnitude and no direction. It is also important to understand the concept of superposition, which states that the total electric potential at any point in space is the sum of the electric potentials due to each individual charge.

In Figure 25-23, the charged particles are represented by the small red and blue spheres. The black dots on the axis M represent points where the electric potential is zero. This means that the electric potential at those points is equal to the electric potential at infinity (V = 0).

To answer the first question, we need to look for pairs of particles where the electric potentials due to each individual particle cancel each other out at a point on the axis M. This would result in a net electric potential of zero at that point. From the given options, we can see that pairs 2 and 4 would have another point of zero net electric potential on the axis M between them. This is because the electric potentials due to the positive and negative charges would cancel each other out at that point.

For the second question, we need to look for pairs of particles where the electric potentials due to each individual particle cancel each other out at a point on the axis M to their right. This would also result in a net electric potential of zero at that point. From the given options, we can see that pairs 1 and 4 would have another point of zero net electric potential on the axis M to their right.

I hope this helps you understand the concept of net electric potential and how to apply it to solve this problem. Remember to carefully consider the electric potentials due to each individual charge and how they interact with each other to determine the net electric potential at a given point. Good luck with your homework!