Solution Found!
A charge +Q is distributed uniformly along the z axis from
Chapter 3, Problem 44P(choose chapter or problem)
Problem 44P
A charge +Q is distributed uniformly along the z axis from z = −a to z = +a. Show that the electric potential at a point r is given by
for r > a.
Questions & Answers
QUESTION:
Problem 44P
A charge +Q is distributed uniformly along the z axis from z = −a to z = +a. Show that the electric potential at a point r is given by
for r > a.
ANSWER:
Step 1 of 2
We have to find the expansion of electric potential V(r,) at a point due charge +Q which is distributed uniformly along the z axis from z = −a to z = +a.
We can do this by using the expansion for the potential of any localized charge distribution in powers of .
Here,
The integral splits into two parts
Now in the first integral refer the diagram given below and and in the second integral so, .
But so the integral cancels when is odd and adds when is even .