Electric Potential Homework: Find V at P & R, What if x,y>>a?

In summary, the problem involves finding the potential at two points, P and R, in relation to a uniformly distributed electric charge on a thin rod of length a and total charge Q. The potential is taken to be zero at infinity and the equations used are V = (9.0(10^9) * integral(dQ/r). The solution requires showing an attempt and considering the limit as x or y approach infinity.
  • #1
mr.alhassan
1
0

Homework Statement


The image related with this problem is attached.
Electric charge is distributed uniformly along a thin rod of length a. with total charge Q. Take the potential to be zero at infinity. Find the potential at the following points (a) point P, a distance x to the right of the rod, and (b) point R, a distance y above the right-hand end of the rod. (c) In parts (a) and (b), what does your result reduce to as x or y become much larger than a?


Homework Equations



V = (9.0(10^9) * integral(dQ/r)


The Attempt at a Solution



I have no idea how to solve it.
 

Attachments

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  • #2
Try to show some attempt. What is r?

ehild
 

FAQ: Electric Potential Homework: Find V at P & R, What if x,y>>a?

What is electric potential?

Electric potential is the amount of work needed to move a unit positive charge from one point to another in an electric field. It is measured in volts (V).

How is electric potential calculated?

Electric potential is calculated by dividing the work done by the charge to move it from one point to another by the magnitude of the charge. The formula is V = W/q, where V is the electric potential, W is the work done, and q is the charge.

What does "V at P & R" mean in this homework problem?

In this context, "V at P & R" refers to the electric potential at two different points, P and R, in an electric field. The homework is asking you to calculate the electric potential at these points.

What if x,y>>a in this homework problem?

If x,y>>a in this homework problem, it means that the distance between the two points P and R is much greater than the distance between the two parallel plates (a). This can affect the electric potential calculation, as the electric field may not be uniform in this scenario.

How can I find the electric potential at P and R?

To find the electric potential at P and R, you can use the formula V = W/q, where W is the work done to move a unit positive charge from the reference point (usually infinity) to the desired point, and q is the magnitude of the charge. You will also need to know the distance between the points and the strength of the electric field at those points.

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