Wires in an circuit, different materials, heat

AI Thread Summary
The discussion revolves around calculating the cross-sectional area of a lead fuse wire in an electric circuit with copper wires, given specific parameters like temperature increase and material properties. The user is seeking guidance on how to approach the problem without asking for a complete solution. Key equations mentioned include those for heat transfer and resistance, indicating a focus on energy balance between the copper and lead materials. The user expresses uncertainty about determining mass and other variables necessary for the calculations. Overall, the thread highlights the need for clarification on the problem-solving process rather than direct answers.
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Homework Statement


In an electric circuit, consisting of copper wires with cross section area of Sc=5mm2 and a temperature of t=25C, a lead fuse is added melting when the copper wire temperature increases by Δt=25C. Find the cross section area of the lead fuse wire Sl=x.
specific heat: cc=400J/kg*C cl=140J/kg*C.
Lead melting point tl=327C, latent heat λ=25000J/kg.
Specific electrical resistances of the materials: ρc=0,017*10-6Ωm, ρl=0,21*10-6Ωm.
material density: ρc1=8,9*103kg/m3, ρl1=11,34*103kg/m3.

Homework Equations


Q=cmΔt
Q=λm
R=lρ/S

Thank you for any ideas on how to solve this, if there is something confusing please ask, this equation is translated from a different language so there may be inaccuracies and such.
 
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Don't erase the part 3. Attempt at solution. We can't help if you don't post that...
 
I was asking for ideas, directions to try going towards, I'm not asking people to solve it. Anyway, I was thinking about Q1=Q2 Q1=ccm1Δt Q2=cl(tl-t). But I don't know the masses nor anything derivative from it since I need to find the cross section area.
 
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