Question 165: Electrostats & Capacitance

Question

A uniformly charged thin spherical shell of radius $$R$$ carries uniform surface charge density of $$\sigma $$ per unit area. It is made of two hemispherical shells, held together by pressing them with force $$F$$ (see figure). $$F$$ is proportional to

Accepted Answer

Electrostatic pressure is
$$\left( {{{{\sigma ^2}} \over {2{\varepsilon _0}}}} ight)$$ N/m
2
The force is
$$F = {{{\sigma ^2}} \over {2{\varepsilon _0}}} 	imes \pi {R^2}$$
Therefore, $$F \propto {{{\sigma ^2}{R^2}} \over {{\varepsilon _0}}}$$

Answer

$${1 \over {{\varepsilon _0}}}{\sigma ^2}{R^2}$$

Answer

$${1 \over {{\varepsilon _0}}}{\sigma ^2}R$$

Answer

$${1 \over {{\varepsilon _0}}}{{{\sigma ^2}} \over R}$$

Answer

$${1 \over {{\varepsilon _0}}}{{{\sigma ^2}} \over {{R^2}}}$$

Electrostats & Capacitance

A uniformly charged thin spherical shell of radius $R carries uniform surface charge density of \sigma per unit area. It is made of two hemispherical shells, held together by pressing them with force F (see figure). F$ is proportional to

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