# Induced charge distribution

Dear colleagues
I have this problem which I don't understand from where they got the solution I tried to solve it with slot of methods with the same answer which not the stated answer.
A point charge (q) is located a distance (b) from a grounded conducting sphere with radius (a) show that the ratio between the induced charge of the part in the front of (q) to the rest part is
√(a+b)/√(b-a)
I tried a lot of but each time I got the following answer
√(b2 - a2 +2ab)/√(b2 - a2 - 2ab)

Mentor
Dear colleagues
I have this problem which I don't understand from where they got the solution I tried to solve it with slot of methods with the same answer which not the stated answer.
A point charge (q) is located a distance (b) from a grounded conducting sphere with radius (a) show that the ratio between the induced charge of the part in the front of (q) to the rest part is
√(a+b)/√(b-a)
I tried a lot of but each time I got the following answer
√(b2 - a2 +2ab)/√(b2 - a2 - 2ab)
Welcome to the PF.

Please show us a diagram of the problem, and show us all of your work that got you to that answer. We can only help you if you show us all of your work.

And in future schoolwork threads that you start, please fill out the Homework Help Template that you are provided when posting. It helps to organize your post, so we don't have to ask so many questions before being able to help. Thank you.

Template said: