(Solved):   Question 1: Resistivity Below is imaged a gray cylinder representing a piece of a wire wit ...

 

Question 1: Resistivity Below is imaged a gray cylinder representing a piece of a wire with length and diameter given. The resistivity is a material property dependent on the type of metal the wire is made out of, a table of these values are found to the right. 1 \[ A=\frac{n u}{4} \] \[ R=\frac{\mu \nu}{A} \] a. Of what material is a wire made, if it is \( 25.0 \mathrm{~m} \) long with a diameter of \( 0.100 \mathrm{~mm} \) and has a resistance of \( 77.7 \Omega \) ? b. Wire running in our homes is usually 12-gauge copper wire. A wire's gauge corresponds to its diameter and a 12-gauge wire has a standard diameter of \( 0.104 \) inches. What is the resistance of 1000 feet of 12 gauge copper wire. Note: \( 1 f t=.3048 \mathrm{~m} \) c. If you were to build a \( 120 \Omega \) resistor out of a nichrome wire that is \( 0.1 \mathrm{~mm} \) in diameter how long would it need to be?