Final answer:
The electric field of the conducting sphere at r=6r is 0 N/C.
Step-by-step explanation:
To find the electric field at a distance r = 6r from the center of the conducting sphere, we can use the concept of charge density and Gauss's law. The electric field inside a conducting sphere is zero, so the electric field at r = 6r would also be zero.
The electric field inside a conducting sphere is zero because the charges on the surface of the sphere redistribute themselves in such a way that the electric field within the sphere cancels out. Therefore, all points inside the sphere experience no net electric field.
So, the electric field of the sphere at r=6r is 0 N/C.