An insulating spherical shell of uniform surface charge density is cut into two parts and placed...

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An insulating spherical shell of uniform surface charge density is cut into two parts and placed at a distance \( d \) apart as shown in figure. \( \vec{E}_{P} \) and \( \vec{E}_{Q} \) denote the electric fields at \( P \) and \( Q \), respectively. As \( d \) (i.e. \( P Q) \rightarrow \infty \)
(1) \( \left|\overrightarrow{E_{P}}\right|\left|\overrightarrow{E_{Q}}\right| \)
(2) \( \left|\overrightarrow{E_{P}}\right|=\left|\overrightarrow{E_{Q}}\right| \)
(3) \( \left|\overrightarrow{E_{P}}\right|\left|\overrightarrow{E_{Q}}\right| \)
(4) \( \vec{E}_{P}+\overrightarrow{E_{Q}}=0 \)
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