So in this problem, we're asked to consider two scenarios where we have two charges, Um, that are some distance d apart on day. In the first scenario, they have the same charge and then the second they have opposite charges on we're being asked to determine if there any points along the line between these two charges where the potential is zero or the electric field to zero. So basically this problem we're looking at, if there is any relationship between the potential and the electric field when there's zero. So, uh, if you wanna just do ah recap to find the total potential What that is is basically just a sailor scaler, some and all the potentials while the electric field, the net electric field is going to be a vector sum of two fields. So what does this practically mean? So basically, the potential is only going to be equal to zero If one charge is negative and the other is positive and theoretic field. Uh, that's only going to be equal to zero. Um, if the fields cancel each other out. So if they're going in opposite directions, which means Q must have the same charge So these air the scenarios where we'll get a potential of zero and a net electric field of zero. So if we look at scenario, one on the first part of this question is determine whether there are any points where the potential is zero. Since we're looking at two charges with same charge, we know that there's gonna be no point where, ah, we get V equals zero because they are of the same charge. And now, for part two of this problem are asked to determine if there's any point along this line where the electric field is zero. So on this line between the two charges, we have the electric fields that's going in opposite directions, and the only point where their magnitude is going to be equal is at the midpoint at D equals two. So we'll say at the midway point. Mhm. We can write that as deep, too. That is where the electric fields it's going to be equal to zero. But there's still no point at which the potential is going to be equal to zero is just because the electric fields zero does not mean that we have at the potential equal to zero at that point. So now we're going to do the same exercise. But just with the scenario where we have, unlike charges, So we have a positive and a negative, and as we established before, we get a potential of zero if the charges are, uh, different. So between the two charges, um, at these two potentials have equal magnitude and opposite signs at the midway point. So that means we have the equal to zero at the midway, which would be de over to on this little graph that we've drawn. But at that point at that midway point in scenario, be, uh, we would not have theorem trick field equal to zero because thief fields are going to point in the same direction. And because it's a vector some, that means they won't cancel out. So that kind of explains part two of this scenario. We're not gonna have any point that that the electric field is actually equal to zero. Uh, because no matter where it is along this line, uh, the field near one charge is going to be slightly larger than the field due to the other charge on the field. They're going to be pointing in the same direction, um, along this entire line between the charges, so you won't be able to see her anywhere. And so basically what this exercise is showing us is that just because the electric field is equal to zero does not mean the potential will be equal to zero or vice versa.