A linear charge having linear charge density λ , penetrates a cube diagonally and then it penetrate

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1. Electric Charges and Fields

normal

A linear charge having linear charge density $\lambda$, penetrates a cube diagonally and then it penetrate a sphere diametrically as shown. What will be the ratio of flux coming cut of cube and sphere

$\frac{1}{2}$

$\frac{2}{{\sqrt 3 }}$

$\frac{{\sqrt 3 }}{2}$

$\frac{1}{1}$

Solution

$\because$ $\phi = \frac{{{{\rm{q}}_{{\rm{inside }}}}}}{{{ \in _0}}}:\frac{{{\phi _1}}}{{{\phi _2}}} = \frac{{\sqrt 3 {\lambda _{\rm{a}}}}}{{2{\lambda _{\rm{a}}}}} = \frac{{\sqrt 3 }}{2}$

Standard 12

Physics

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medium

(KVPY-2018)

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normal

A linear charge having linear charge density $\lambda$, penetrates a cube diagonally and then it penetrate a sphere diametrically as shown. What will be the ratio of flux coming cut of cube and sphere

Solution

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