\( A \) and \( B \) are semi-spherical surfaces of radius \( r_{1} \) and \( r_{2} \) \( \left(r...

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\( A \) and \( B \) are semi-spherical surfaces of radius \( r_{1} \) and \( r_{2} \) \( \left(r_{1}r_{2}\right) \) with \( E_{1} \) and \( E_{2} \) as the electric fields at their surfaces. Charge \( q_{0} \) is placed as shown. What is the condition which may be satisfied?
(1) \( \frac{\phi_{1}}{\phi_{2}}=1 \)
(2) \( r_{1}^{2} r_{2}^{2}=E_{1} E_{2} \)
(3) \( \frac{r_{1}}{\sqrt{E_{2}}}=\frac{r_{2}}{\sqrt{E_{1}}} \)
(4) \( r_{1} \sqrt{E_{2}}=r_{2} \sqrt{E_{1}} \)
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