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Four identical thin, square metal sheets, S1, S2, S3 and S4, each of side a are kept parallel to each other with equal distance \(d (≪ a)\) between them, as shown in the figure. Let \(C_0 = \epsilon_0\frac{a^2}{d}, \)where \(\epsilon_0\) is the permittivity of free space.
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
List-I List-II P The capacitance between S1 and S4, with S2 and S3 not connected, is I \(3C_0\) Q The capacitance between S1 and S4, with S2 shorted to S3, is II \(\frac{C_0}{2}\) R The capacitance between S1 and S3, with S2 shorted to S4, is III \(\frac{C_0}{3}\) S The capacitance between S1 and S2, with S3 shorted to S1, and S2 shorted to S4, is IV \(2\frac{C_0}{3}\) \[2C_0\]
Four identical thin, square metal sheets, S1, S2, S3 and S4, each of side a are kept parallel to each other with equal distance \(d (≪ a)\) between them, as shown in the figure. Let \(C_0 = \epsilon_0\frac{a^2}{d}, \)where \(\epsilon_0\) 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.
| List-I | List-II | ||
| P | The capacitance between S1 and S4, with S2 and S3 not connected, is | I | \(3C_0\) |
| Q | The capacitance between S1 and S4, with S2 shorted to S3, is | II | \(\frac{C_0}{2}\) |
| R | The capacitance between S1 and S3, with S2 shorted to S4, is | III | \(\frac{C_0}{3}\) |
| S | The capacitance between S1 and S2, with S3 shorted to S1, and S2 shorted to S4, is | IV | \(2\frac{C_0}{3}\) |
| \[2C_0\] | |||
Updated On: Jun 10, 2024
- P → 3; Q → 2; R → 4; S → 5
- P → 2; Q → 3; R → 2; S → 1
- P → 3; Q → 2; R → 4; S → 1
- P → 3; Q → 2; R → 2; S → 5
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The Correct Option is C
Solution and Explanation
The correct option is (C):P → 3; Q → 2; R → 4; S → 1
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