Two conducting spheres are each given a charge $Q.$ The radius of the larger sphere is three times greater than that of the smaller sphere. If the electric field just outside of the smaller sphere is $E_0,$ then the electric field just outside of the larger sphere is

View Available Hint$($s$)$

$\frac{1}{9}{E}_0$

$3E_0$

$E_0$

$9E_0$

$\frac{1}{3}{E}_0$