Question 122: Electrostatics & Capacitance

Question

Consider a thin spherical shell of radius R
consisting of uniform surface charge density s.
The electric field at a point of distance x from its
centre and outside the shell is

Accepted Answer

Electric field due to thin spherical shell at a distance x outside from the centre is given as
$$E = {1 \over {4\pi {\varepsilon _0}}}\,.\,{Q \over {{x^2}}}$$ ..... (i)
where, $$Q = s\,.\,A$$
$$=s 	imes 4 \pi R^2$$
$$	herefore$$ From Eq. (i), we get
$$E  =\frac{1}{4 \pi \varepsilon_0} \cdot \frac{s 	imes 4 \pi R^2}{x^2}=\frac{s R^2}{\varepsilon_0 x^2}$$
$$	herefore  E  \propto \frac{1}{x^2}$$

Answer

inversely proportional to $$s$$

Answer

directly proportional to $$x^2$$

Answer

directly proportional to $$R$$

Answer

inversely proportional to $$x^2$$

Electrostatics & Capacitance

Consider a thin spherical shell of radius R consisting of uniform surface charge density s. The electric field at a point of distance x from its centre and outside the shell is

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