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5. A segment of a charged wire of length L, charge density 22 and an infinitely long charged wire,charge density 2 lie in a plane at right angles to each other. If the separation between the wires is ro,determine the force experienced by wire 2 due to wire 1.wire 112wire 24 = 176htm236rok L->22208123626

Answer»

electric field intensity due to infinite long wire is given by E = λ/2π∈₀r , where r is distance between wire and observation point.

So, electric field due to 1st wire at P , E₁ = λ₁/2π∈₀x electric field due to 2nd wire at P, E₂ = λ₂/2π∈₀y So, Enet = √{E₁² + E₂²} = 1/2π∈₀ [λ₁²/x² + λ₂²/y²]½

Hence, answer is Enet = 1/2π∈₀ [λ₁²/x² + λ₂²/y²]½



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