Radius of a spherical conductor is `2m`, This is kept in dielectric medium of dielectric constant `10^6N//C`. Find a. capacitance of the conductor b. maximum charge which can be stored on this conductor.
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A, D
a. `C=4piepsilon_0R` `=(1/(9xx10^9))(2)` b. Maximum electric field on the surface of sphereical conductor is `E=1/(4piepsilon_0)q/R^2` This should not exceed `10^6N//C` `:. E_max=1/(4piepsilon_0) q_max/R^2=10^6` `impliesq_max=(4piepsilon_0)R^2(10^6)` `=((1)/(9xx10^9))(2)^2(10^6)` `=4.4xx10^-4C`
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