An infinitely long uniform line charge of linear charge density λ is parallel to the y-axis in the yz-plane at z = $\frac{\sqrt3}{2}a$ . If the magnitude of electric flux through the rectangular surface ABCD in the xy-plane, centred at the origin, is λL/(nε₀), find n.
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Question

An infinitely long uniform line charge of linear charge density λ is parallel to the y-axis in the yz-plane at z = $\frac{\sqrt3}{2}a$ . If the magnitude of electric flux through the rectangular surface ABCD in the xy-plane, centred at the origin, is λL/(nε₀), find n.

Your answer

G1 Physics · Accepted Answer

Step 1: Use superposition, 𝐄 = Σ[1/(4πε₀)] qᵢ 𝐫ᵢ/rᵢ³, or the appropriate continuous-distribution integral. Step 2: Resolve components and exploit symmetry to cancel components. Step 3: Add the surviving components and compare with the choices. Final: 6.

An infinitely long uniform line charge of linear charge density λ is parallel to the y-axis in the yz-plane at z = 3 2 a \frac{\sqrt3}{2}a 2 3 ​ ​ a . If the magnitude of electric flux through the rectangular surface ABCD in the xy-plane, centred at the origin, is λL/(nε₀), find n.

An infinitely long uniform line charge of linear charge density λ is parallel to the y-axis in the yz-plane at z = 3 2 a \frac{\sqrt3}{2}a 2 3 a . If the magnitude of electric flux through the rectangular surface ABCD in the xy-plane, centred at the origin, is λL/(nε₀), find n.