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  • I need help with Two point charges q & - q are separated by distance 2a . Calculate flux of Electric field across circle of radius R.

Two point charges q & - q are separated by distance 2a . Calculate flux of Electric field across circle  of radius R.

 

  • Option 1)

    \frac{q}{\epsilon _{o}}

     

  • Option 2)

    0

  • Option 3)

    \frac{q}{\epsilon _{o}} \left [ 1- \frac{1}{\sqrt{1 + \left ( \frac{R}{a} \right )^{2}}} \right ]

  • Option 4)

    None

 

Answers (1)

best_answer

As we learned

Potential due to line charge -

V=\frac{\lambda }{2\pi \varepsilon _{0}}\log_{e}\left [ \frac{\sqrt{r^{2}+l^{2}}-l}{\sqrt{r^{2}+l^{2}}+l} \right ]

-

 

 

 

\\*d\phi = 2E \; cos\;\Theta \; 2\pi \;y dy \\* =2 XK\frac{q}{\left ( a^{2}+ y^{2} \right )} . \frac{a2\pi ydy}{\left ( a^{2}+ y^{2} \right )^{\frac{1}{2}}}

\phi = \int d\phi = \frac{qa}{\epsilon _{o}}\int_{o}^{R} y dy / \left ( a^{2} + y^{2} \right )^{\frac{3}{2}}


Option 1)

\frac{q}{\epsilon _{o}}

 

Option 2)

0

Option 3)

\frac{q}{\epsilon _{o}} \left [ 1- \frac{1}{\sqrt{1 + \left ( \frac{R}{a} \right )^{2}}} \right ]

Option 4)

None

Posted by

Aadil

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