Question #311315

An aluminum wire with a diameter of 1.02 mm and volume of 1.57x10-5 m3, has a battery attached to it with an emf of 30 volts. Find (a) the resistance of the wire and (b) the corresponding current.


1
Expert's answer
2022-03-14T09:45:14-0400

Answer

a) Radius r=0.56mm

Length of wire l=volumeareal=\frac{volume }{area}

Resistance of wire is

R=ρlA=2.651081.571053.143.14(0.56103)4=0.429ΩR=\rho \frac{l}{A}\\=\frac{2.65*10^{-8}*1.57*10^{-5}}{3.14*3.14*(0.56*10^{-3})^4}\\=0.429\Omega

b) so current

I=300.429=69.93AI =\frac{30}{0.429}\\=69.93A



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