\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ Column I } & \multicolumn{1}{|c|}{ Column II } \\
\hline i. If \( q_{1} \) is at center and \( q_{2}=0 \), \\
then \( \vec{E} \) at center of shell due \\
to charge on outer surface & a. \( \frac{q_{1}}{4 \pi \varepsilon_{0} r^{2}} \) \\
of shell is \\
ii. If \( q_{1} \) is not at center and \( q_{2} \) is \\
at distance \( r \) from the center, \\
then \( \vec{E} \) at the inner surface \\
of shell (at a point closest to & b. \( \frac{q_{2}}{4 \pi \varepsilon_{0}\left(r-R_{1}\right)^{2}} \) \\
\( \left.q_{2}\right) \) due to charge on outer \\
surface of the shell is & \\
\hline iii. If \( q_{1} \) is at center and \( q_{2} \) is at \\
distance \( r \) from the center, \\
then \( \vec{E} \) at a point distant \( r \) \\
( \( r) \) from the center of the \\
shell due to outer surface \\
charge is & \\
\hline iv. If \( q_{1} \) is not at center and \\
\( q_{2}=0 \), then \( \vec{E} \) at point \( P \) & determined \\
\( \left(P\right. \) is at distance \( r \) from \( q_{1} \) \\
due to charge of the inner \\
surface of shell is
\end{tabular}
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