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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Electrostatics

Olympiad workbook · NSEP · Electrostatics

A hollow non-conducting cone of base radius R=50 ~cm and semi...

A hollow non-conducting cone of base radius

\mathrm{R}=50 \mathrm{~cm}

and semi vertical angle of

15^{{}^{{}^{\circ}}}

has been uniformly charged on its curved surface up to three-fourth of its slant length from base with a surface charge density

\sigma=2.5 \mu \mathrm{C} / \mathrm{m}^2

. The electric field produced at the location of the vertex of the cone is

Options

A $\frac{\sigma \ln 2}{2 \varepsilon_0}$
B $\frac{\sigma \ln 2}{4 \varepsilon_0}$
C $\frac{\sigma \ln 2}{8 \varepsilon_0}$
D $\frac{\sigma \ln 2}{16 \varepsilon_0}$

Correct answer

B. $\frac{\sigma \ln 2}{4 \varepsilon_0}$

Step-by-step solution

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