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The resistance, R (in ohms) of a wire varies directly with the length, L (in cm) of the wire, and inversely with the cross-sectional area, A (in cm^2). A 500 cm piece of wire with a radius of 0.2cm has a resistance of 0.025 ohm. Find an equation that relates these variables in the form ofR=πL

 Apr 5, 2017
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The resistance, R (in ohms) of a wire varies directly with the length, L (in cm) of the wire,
and inversely with the cross-sectional area, A (in cm^2).
A 500 cm piece of wire with a radius of 0.2cm has a resistance of 0.025 ohm.
Find an equation that relates these variables in the form of R=πL

 

Let ρ = resistivity
Let L = length
Let A = cross sectional area
Let r = Radius

 

R=ρLArewrite...ρ=ARL|A=πr2ρ=πr2RLρ=r2RLπ|L=500 cmR=0.025 Ωr=0.2 cmρ=0.220.025500πρ=0.040.025500πρ=0.001500πρ=0.000002π

 

Find an equation that relates these variables in the form of R=πL

R=ρLAρ=0.000002πR=0.000002πLA

 

 

laugh

 Apr 6, 2017

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