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
λ2πε0R N/C
b
zero
c
2λπε0R N/C
d
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
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?