Question

An infinitely long uniform line charge distribution of charge per unit length λ lies parallel to the y-axis in the y-z plane at z = \(\frac{\sqrt{3}}{2}\) a (see figure). If the magnitude of the flux of the electric field through the rectangular surface ABCD lying in the x-y plane with its center at the origin is \(\frac{λL}{nε_0}\) (ε₀ = permittivity of free space), then the value of n is___

Answer 1

From the figure θ = 60° 

So No. of rectangular surfaces used to form a

m = 360/60 = 6

So, ϕ = \(\frac{λL}{6ε_0}\) , Hence ‘n’ = 6