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Q.

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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a

$\frac{λ}{2 {πϵ}_{0} R} N / C$

b

zero

c

$\frac{λ}{π \in_{0} R} N / C$

d

$\frac{2 λ}{π \in_{0} R} N / C$

answer is A.

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Detailed Solution

$As the fields due to both of the charges are in same direction,$

$E_{Net} = \frac{λ}{2 π \in_{0} R} + \frac{λ}{2 π \in_{0} R}$

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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?