two point charges +q and -q are separated by a distance d. aside from infinity, where else is the potential due to these two charges?
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To determine where else the potential due to the two charges can be calculated, we need to consider the concept of electric potential. The electric potential at a point in space is determined by the charge at that point and the surrounding charges.
In this case, we have two point charges: +q and -q, separated by a distance d. The potential at a point due to a single point charge is given by the equation:
V = k * q / r
Where V is the electric potential, k is the electrostatic constant (equal to 9 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point at which the potential is being calculated.
Since we have two charges, we can calculate the potential at a point by considering the potential due to each charge separately and then adding the two potentials together.
Now, let's consider different points where the potential due to these two charges can be calculated:
1. Between the charges (+q and -q): The potential between the charges can be determined by using the formula mentioned above and considering the distance from each charge to the point of interest.
2. On the line perpendicular to the charges and passing through the midpoint: The electric potential due to charges of opposite sign tends to cancel each other along this line, resulting in a lower potential compared to the region between the charges.
3. On the line of the positive charge extending away from it: The electric potential due to the positive charge decreases with distance from the charge.
4. On the line of the negative charge extending away from it: The electric potential due to the negative charge also decreases with distance from the charge.
5. On the line connecting the charges, beyond the position of the negative charge: The potential due to the positive charge increases as we move away from the negative charge.
In summary, the potential due to these two charges can be calculated in various places, such as between the charges, along perpendicular lines, along lines of each individual charge, and beyond the position of the negative charge along the line connecting the charges.