An infinitely long wire has uniform linear charge density λ = 2 nC / m . The net flux through a Gaussian cube of side length 3 cm , if the wire passes through any two corners of the cube, that are m

Question

An infinitely long wire has uniform linear charge density $λ = 2 nC / m$ . The net flux through a Gaussian cube of side length $3 cm$ , if the wire passes through any two corners of the cube, that are maximally displaced from each other, would be $xNm^{2} C^{- 1}$ , where x is :
[Neglect any edge effects and use $\frac{1}{4 π ε _{0}} = 9 \times 1 0^{9}$ SI units]

TestHub · Accepted Answer

​ ϕ = ε 0 ​ q enc ​ ​ = ε 0 ​ λ ⋅ 3 ​ a ​ = 2 × 1 0 − 9 × 3 ​ × 3 ​ × 1 0 − 2 × 36 π × 1 0 9 Nm 2 C − 1 = 2.16 π Nm 2 C − 1 ​

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