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

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λ2πε0R N/C

zero

2λπε0R N/C

λπε0R N/C

answer is D.

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Detailed Solution

Electric field due to an infinite line charge, E=λ2πε0r Net electric field at mid-point O, E→0=E→1+E→2 As, E1=E2=λ2πε0R∴E0=2E1=λπε0R NC-1

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