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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Electrostatics

Olympiad workbook · NSEP · Electrostatics

A conducting thick spherical shell of radii a and b(b>a) has been...

A conducting thick spherical shell of radii a and

\mathrm{b}(\mathrm{b}>\mathrm{a})

has been charged with uniform surface charge density

-\sigma C / m^2

on the inner and

+\sigma C / m^2

on the outer surfaces. Then

Options

Athe net charge on the spherical shell is zero.
Bthe radial electric field outside the shell is $E=\frac{\sigma b^2}{\varepsilon_0 r^2}$
Ca radial electric field $E=\frac{\sigma\left(b^2-a^2\right)}{\varepsilon_0 r^2}$ exists outside the shell.
Dthere is a net electric charge in the cavity (i.e. in region $\mathrm{r} <$ a) equal to $4 \pi \sigma \left(b²-a²\right)

Correct answer

B. the radial electric field outside the shell is $E=\frac{\sigma b^2}{\varepsilon_0 r^2}$

Step-by-step solution

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