Interesting Gauss

Electricity and Magnetism Level 3

Consider a circle of radius R.A point charge lies at a distance $a$ from its centre and on its axis such that R=a $\sqrt3$ .If electric flux passing through the circle is $\phi$ ,then the magnitude of point charge is x $\phi$ $\epsilon_0$ .Find x value.

The answer is 4.00.

1 solution

Rajdeep Brahma
May 23, 2018

Use the flux through a solid angle $\theta$ due to a point charge is given by $\phi$ $\epsilon$ = $\frac{q}{2}$ (1-cos $\theta$ ).With R=a $\sqrt3$ we have cos $\theta$ =0.5...Now it is an easy math to see that q=4 $\epsilon$ * $\phi$ .Hence x=4.

I derived it haha.... What a fool I am

Md Zuhair - 3 years ago

Sir,what a levellllllllllllll!!!!! @Md Zuhair .

rajdeep brahma - 3 years ago

Sir?...?????

Md Zuhair - 3 years ago

Interesting Gauss

The answer is 4.00.

1 solution

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