Gujarati
Hindi
1. Electric Charges and Fields
hard

An electric field converges at the origin whose magnitude is given by the expression $E = 100\,r\,Nt/Coul$, where $r$ is the distance measured from the origin.

A

total charge contained in any spherical volume with its centre at origin is negative.

B

total charge contained at any spherical volume, irrespective of the location of its centre, is negative.

C

total charge contained in a spherical volume of radius $3\, \,cm$ with its centre at origin has magnitude $3 \times 10^{-13}\ C.$

D

all of the above

Solution

As the electric field converges at the origin so total charge contained in any spherical volume, irrespective of the location, is negative.

By Gauss theorem $\int \vec{E} \cdot d \vec{s}=\frac{q}{\in_{0}}$

We have $-E\left(4 \pi r^{2}\right)=\frac{q}{\epsilon_{0}} \Rightarrow q=-3 \times 10^{-13} C$

Standard 12
Physics

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