MHT CET · Physics · Capacitance
Seven capacitors each of capacitance \(2 \mu F\) are to be connected to obtain equivalent
capacitance of \(\left(\frac{10}{11}\right) \mu \mathrm{F}\). Which of the following combination is possible?
- A 3 in parallel and 4 in series
- B 2 in parallel and 5 in series
- C 5 in parallel and 2 in series
- D 4 in parallel and 3 in series
Answer & Solution
Correct Answer
(C) 5 in parallel and 2 in series
Step-by-step Solution
Detailed explanation
In SHM, V \(=\sqrt{A^{2}-x^{2}}\)
\(\mathrm{V}=\sqrt{\mathrm{A}^{2}-\frac{4 \mathrm{~A}^{2}}{9}}=\sqrt{\frac{5 \mathrm{~A}^{2}}{9}}\)
\(3 \mathrm{~V}=\sqrt{\mathrm{A}^{\prime 2}-\frac{4 \mathrm{~A}^{2}}{9}}\)
Dividing the above two equations give \(A^{\prime}=\frac{7 \mathrm{~A}}{3}\)
\(\mathrm{V}=\sqrt{\mathrm{A}^{2}-\frac{4 \mathrm{~A}^{2}}{9}}=\sqrt{\frac{5 \mathrm{~A}^{2}}{9}}\)
\(3 \mathrm{~V}=\sqrt{\mathrm{A}^{\prime 2}-\frac{4 \mathrm{~A}^{2}}{9}}\)
Dividing the above two equations give \(A^{\prime}=\frac{7 \mathrm{~A}}{3}\)
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