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Answer:
1/9 E
Explanation:
The electric field produced by a charged sphere outside the sphere is equal to that produced by a single point charge:
where
k is the Coulomb's constant
Q is the charge on the sphere
r is the distance from the centre of the sphere
In this problem, we have a sphere of radius R (smaller sphere) with a charge Q that produces an electric field of magnitude E at r=R.
For the larger sphere,
R' = 3R
Therefore, the electric field at r=R' will be
So, the electric field just outside the larger sphere will be 1/9 E.