00:01
Hi there, so for this problem we are told that for the charge configuration of the problem 2 .15 that is shown in this figure, we need to find the potential at the center using infinity as your reference point.
00:16
So to calculate the potential at zero, we use the definition of the potential that is minus the integral from zero, sorry, from infinity to zero of the product between the electric field and the differential in the length.
00:39
So in this case, we use the result from problem 2 .15.
00:47
So from there we obtain that this is the integral from infinity to b of the electric field that is produced.
01:06
By the whole sphere, which is columns constant divided by epsilon sub 0 times a minus b, divided by the radius square.
01:21
And this integrated over the differential, over the radius.
01:28
This minus the integral from b to a...