The radii of the inner and outer spheres of a condenser are 9 cm and 10 m respectively. If the dielectric constant of the medium between the two sphere is 6 and charge on the inner sphere is `18xx10^(-9)C`, then the potential of inner sphere will be, if the other sphere is earthedA. 180 VB. 30 VC. 18 VD. 90 V

The radii of the inner and outer spheres of a condenser are 9 cm and 1

1.	The radii of the inner and outer spheres of a condenser are 9 cm and 10 m respectively. If the dielectric constant of the medium between the two sphere is 6 and charge on the inner sphere is `18xx10^(-9)C`, then the potential of inner sphere will be, if the other sphere is earthedA. 180 VB. 30 VC. 18 VD. 90 V
Answer» Correct Answer - B Given, system is a spherical capacitor so, capacitance of system, `C=K xx4piepsilon_(0)[(r_(1)r_(2))/(r_(2)-r_(1))]` `=(6)/(9xx10^(9))[(9xx10)/(1)]xx10^(-2)=6xx10^(-10)F` Now, potential of inner sphere will be equal to potential difference of the capacitor. So, `V=(q)/(C)=(18xx10^(-9))/(6xx10^(-2))=30V`

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