AP EAMCET · PHYSICS · Capacitance
A spherical capacitor has outer sphere of radius \(5 \mathrm{~cm}\) and inner sphere of radius \(2 \mathrm{~cm}\). When the inner sphere is earthed, its capacity is \(C_1\) and when the outer sphere is earthed its capacity is \(C_2\). Then \(\frac{C_1}{C_2}\) is
- A \(\frac{5}{2}\)
- B \(\frac{2}{5}\)
- C \(\frac{7}{3}\)
- D \(\frac{3}{7}\)
Answer & Solution
Correct Answer
(A) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
Key Idea If a spherical capacitor has outer radius \(R_2\) and inner radius \(R_1\). Then the capacitance, (a) when outer shell is earthed, \(C=4 \pi \varepsilon_0 \frac{R_1 R_2}{R_2-R_1}\) (b) When inner shell is earthed, \(C^{\prime}=C+4 \pi \varepsilon_0 R_2\) Given, radius…
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