$00610\mathrm{.}0$ points

A conducting sphere of radius $R_1$ carries a charge $Q.$ Another conducting sphere has a radius $R_2=\frac{1}{2}{R}_1,$ but carries the same charge. The spheres are far apart.

What is the ratio $\frac{E_2}{E_1}$ of the electric field near the surface of the sphere with radius $R_2$ to the field near the surface of the sphere with radius $R_1?$

$\frac{E_2}{E_1}=2$

$\frac{E_2}{E_1}=\sqrt[\phantom{2}]{\frac{1}{2}}$

$\frac{E_2}{E_1}=4$

$\frac{E_2}{E_1}=\frac{1}{2}$

$\frac{E_2}{E_1}=\sqrt[\phantom{2}]{2}$

$\frac{E_2}{E_1}=\frac{1}{4}$