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  • A long string with a charge of per unit length passes through an imaginary cube of edge '<img alt="\mathrm{

A long string with a charge of \lambda per unit length passes through an imaginary cube of edge '\mathrm{a} '. The maximum flux of the electric field through the cube will be

Option: 1

\mathrm{\lambda a / \epsilon_0}


Option: 2

\sqrt{2} \lambda a / \epsilon_0


Option: 3

\sqrt{6} \lambda a^{2} / \epsilon_0


Option: 4

\sqrt{3} \lambda a / \mathrm{\epsilon _0}


Answers (1)

best_answer

The charge on longest diagonal of cube  

\mathrm{q=\sqrt{3} a \lambda, \phi=\frac{q}{\epsilon _0}=\sqrt{3} a \lambda / \epsilon_0}

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