Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = -2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 6m.(a) 17/6(b) -17/6(c) 13/6(d) -13/6The question was asked in unit test.This interesting question is from Applications of Gauss Law in portion Electrostatic Fields of Electromagnetic Theory

Three charged cylindrical sheets are present in three spaces with σ =

1.	Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = -2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 6m.(a) 17/6(b) -17/6(c) 13/6(d) -13/6The question was asked in unit test.This interesting question is from Applications of Gauss Law in portion Electrostatic Fields of Electromagnetic Theory
Answer» The correct ANSWER is (d) -13/6 The best explanation: The radius R = 6m ENCLOSES all the three Gaussian cylinders. By Gauss law,ψ = Q D(2πRL) = σ(2πRL), D(2π X 6) = Q1 + Q2 + Q3 =σ1(2π X 2) + σ2(2π X 4) + σ3(2π X 5), here σ1 = 5, σ2 = -2 and σ3 = -3. We GET D = -13/6 units.

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