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Electrostatic Potential and Capacitance
Conductors – Charge Distribution on Connected Spheres
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Concepts tested
- surface charge density ratio
All Questions
2021 1 question
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Two charged spherical conductors of radii $R_1$ and $R_2$ are connected by a wire. Then the ratio of surface charge densities of the spheres ($\sigma_1/\sigma_2$) is:For a conducting sphere: $E = \frac{\sigma}{\epsilon_0}$ and $V = \frac{\sigma R}{\epsilon_0}$ When connected by a wire, both spheres have the same potential: $V_1 = V_2$ $\sigma_1R_1 = \sigma_2R_2 \Rightarrow \frac{\sigma_1}{\sigma_2} = \frac{R_2}{R_1}$