Three long concentric conducting cylindrical shells have radii \( \mathrm{R}, 2 \mathrm{R} \) an....
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0Three long concentric conducting cylindrical shells
P
have radii \( \mathrm{R}, 2 \mathrm{R} \) and \( 2 \sqrt{2} \mathrm{R} \). Inner and outer shells
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are connected to each other. The capacitance across middle and inner shells per unit length is: (with outer shell earthed)
(1) \( \frac{\frac{1}{3} \in_{0}}{\ln 2} \)
(2) \( \frac{6 \pi \epsilon_{0}}{\ln 2} \)
(3) \( \frac{\pi \epsilon_{0}}{2 \ln 2} \)
(4) None
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