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Electrostatics question

2019 · Q134
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Electrostatics question

2019 · Q134

NEETPhysicsElectrostaticsMCQ+4 / −1
Two parallel infinite line charges with linear charge densities +λ\lambdaλ C/m and -λ\lambdaλ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?
  1. A
    2λπε0R{{2\lambda } \over {\pi {\varepsilon _0}R}}πε0​R2λ​ N/C
  2. B
    zero
  3. C
    λπε0R{\lambda \over {\pi {\varepsilon _0}R}}πε0​Rλ​ N/C
  4. D
    λ2πε0R{\lambda \over {2\pi {\varepsilon _0}R}}2πε0​Rλ​ N/C
View written solutionFree

Correct answer: C

E→net=E→1+E→2{\overrightarrow E _{net}} = {\overrightarrow E _1} + {\overrightarrow E _2}Enet​=E1​+E2​

= λ2πε0R{\lambda \over {2\pi {\varepsilon _0}R}}2πε0​Rλ​ + λ2πε0R{\lambda \over {2\pi {\varepsilon _0}R}}2πε0​Rλ​

= λπε0R{\lambda \over {\pi {\varepsilon _0}R}}πε0​Rλ​ N/C

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