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There are two concentric conducting shells of radius `R, 2R` respectively. Charge on each surface is as shown in the figure. Equivalent capacitance of this system is:A. `4piepsilon_(0)R`B. `8piepsilon_(0)R`C. `16piepsilon_(0)R`D. `12piepsilon_(0)R` |
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Answer» Correct Answer - A This is series combination of a spherical capacitor and an isolated sphere. Capacitance of spherical capacitor `=(4piepsilon_(0)2R^(2))/(2R-R)` `C_(1)=8piepsilon_(0)R` Capacitance of isolated sphere `C_(2)=8piepsilon_(0)R` Capacitance of system is `1/C=1/(C_(1))+1/(C_(2))` `1/C=1/(8piepsilon_(0)R)+1/(8piepsilon_(0)R)=1/(4piepsilon_(0)R)` |
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