6) We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have resistance, and an effort is made to keep this resistance small-usually less than an ohm. a. Design a uniform cylindrical wire that has a resistance of 25 m2 and uses $1 worth of copper. What are the length and diameter of your wire? Note: You can find the resistivity of copper in the textbook, and you should assume that copper is currently $2.69 per pound. b. This wire is cut in half, and the two strands are used to power a toaster from an outlet supplying 1800W at 120V. Draw a simple circuit diagram, including the voltage source, resistors to represent the power cord wires, and the calculated resistance for the toaster. c. How much of the total 1800W is absorbed by the power cord itself, not by the toaster? d. If the specific heat of copper is 385 J/kgC, how much will the power cord heat up after 5 minutes of use? (Assume all energy absorbed by the power cord is converted to heat and remains in the copper wire.) Remember from Homework #1 that Q = mcAT