Two parallel infinite line charges with linear charges densities + \lambda C/ m \: \: and \: \: - \lambda C/ m are placed at a distance  of 2R in free space . what is the electric field mid way between the two line charges ? 

  • Option 1)

    zero

  • Option 2)

    \frac{2 \lambda }{\pi \epsilon _0 R} N/C

  • Option 3)

    \frac{ \lambda }{\pi \epsilon _0 R} N/C

  • Option 4)

    \frac{\lambda }{2\pi \epsilon _0 R} N/C

 

Answers (1)

\left | E_1 \right | = \left | E_2 \right | \\\\ E_1 =\frac{ \lambda}{2 \pi R\epsilon _0} \\\\ E_{ net} = E_ 1 + E_2 \\\\ E _{ net } =\frac{ \lambda}{ \pi R\epsilon _0}


Option 1)

zero

Option 2)

\frac{2 \lambda }{\pi \epsilon _0 R} N/C

Option 3)

\frac{ \lambda }{\pi \epsilon _0 R} N/C

Option 4)

\frac{\lambda }{2\pi \epsilon _0 R} N/C

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