While remodeling your garage, you need to temporarily splice, endto end, an 80 m

Question

While remodeling your garage, you need to temporarily splice, endto end, an 80 m long copper wire that is 1.19 mm in diameter with a 49 m long aluminum wirethat has the same diameter. The maximum current in the wires is2.00 A. (a) Find the potential drop across each wire ofthis system when the current is 1.83A.
1 V (copper wire)
2 V (aluminumwire)

(b) Find the electric field in each wire when the current is1.83 A.
3 mV/m (copperwire)
4 mV/m (aluminumwire) (a) Find the potential drop across each wire ofthis system when the current is 1.83A.
1 V (copper wire)
2 V (aluminumwire)

(b) Find the electric field in each wire when the current is1.83 A.
3 mV/m (copperwire)
4 mV/m (aluminumwire)

Explanation / Answer

copper: L = 80 m, d = 1.19 mm, = 1.72*10-8m, resistance R = 4L/(d2) aluminum: L' = 49 m, d = 1.19 mm, ' = 2.75*10-8m, resistance R' = 4'L'/(d2) I = 1.83 A a) VCu = IR = 4LI/(d2) =2.26 V VAl = IR' = 4'L'I/(d2) =2.22 V b) ECu = VCu/L = 28.3 mV/m EAl = VAl/L = 45.3 mV/m

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