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The Intensity of the Electric Field at a Perpendicular Distance of 0·5 M from an Infinitely Long Line Charge Having Linear Charge Density (λ) is 3-6 × 103 Vm-1. Find the Value of λ.

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Question

The intensity of the electric field at a perpendicular distance of 0·5 m from an infinitely long line charge having linear charge density (λ) is 3-6 × 103 Vm-1. Find the value of λ.

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Solution

λ =n  E.2π∈0r                                where E =3.6 ×103 Vm-1, R= 5m

∴ λ   = 3.6 × 103 ×05 ×2 ×3.14 × 8.85 ×10-12
        = 3.6 × 103 ×3.14 ×8.85 ×10-12 

        = 100× 10-9 

         =10-7 Cm-1

  ∴ λ  = 10-7 Cm-1 

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2016-2017 (March)

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