Two uniformly charged spherical conductors $A$ and $B$ of radii $5 \mathrm{~mm}$ and $10 \mathrm{~mm}$ are separated by a distance of $2 \mathrm{~cm}$. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere $A$ and $B$ will be :
Solution
<p>After connection</p>
<p>${\sigma _1}{R_1} = {\sigma _2}{R_2}$</p>
<p>Now $E = {\sigma \over {{\varepsilon _0}}}$</p>
<p>$$ \Rightarrow {{{E_1}} \over {{E_2}}} = {{{\sigma _1}} \over {{\sigma _2}}} = {{{R_2}} \over {{R_1}}} = {2 \over 1}$$</p>
About this question
Subject: Physics · Chapter: Electrostatics · Topic: Coulomb's Law
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