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WBJEEFour identical thin, square metal sheets, \(S_1, S_2, S_3\) and \(S_4\), each of...
Four identical thin, square metal sheets, \(S_1, S_2, S_3\) and \(S_4\), each of side \(a\) are kept parallel to each other with equal distance \(d(\ll a)\) between them, as shown in the figure. Let \(C_0=\varepsilon_0 a^2 / d\), where \(\varepsilon_0\) is the permittivity of free space.
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
Solution:
For P
All are in series
\(\begin{gathered}
C_{e q}=\frac{C_0}{3} \\
P \rightarrow(3)
\end{gathered}\)
For Q
\(\begin{gathered}
C_{e q}=\frac{C_0}{2} \\
Q \rightarrow(2)
\end{gathered}\)
For R
\(\begin{gathered}
C_{e q}=\frac{2 C}{3} \\
R \rightarrow(4)
\end{gathered}\)
For S
\(\begin{aligned}
& \Rightarrow C_{e q}=3 C_0 \\
& S \rightarrow(1)
\end{aligned}\)
All are in series
\(\begin{gathered}
C_{e q}=\frac{C_0}{3} \\
P \rightarrow(3)
\end{gathered}\)
For Q
\(\begin{gathered}
C_{e q}=\frac{C_0}{2} \\
Q \rightarrow(2)
\end{gathered}\)
For R
\(\begin{gathered}
C_{e q}=\frac{2 C}{3} \\
R \rightarrow(4)
\end{gathered}\)
For S
\(\begin{aligned}
& \Rightarrow C_{e q}=3 C_0 \\
& S \rightarrow(1)
\end{aligned}\)
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