Aluminum and copper wires of equal length are found to have the same resistance. What is the ratio of their radii?
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- Suppose you're using a copper wire that has a radius of 0.5 mm, is 3.8 m long, and has a resistivity p=1.7 x 10 8 N- m. What is the resistance of the wire in Ohms?a piece of copper wire with a radius of 6 cm has a resistance of 50 ohm. the wire is cylindrical. If we want to decrease the resistance to 10 ohms by only changing the radius while keeping the rest of the parameters the same. What will the new radius be?A metallic wire is stretched from original length of 1 m to 5 m. If the original cross- sectional area is 2 square millimeters and original resistance is 8 ohms, determine the new resistance (in ohms) of the metallic wire. Assume the volume of the wire is preserved.
- A copper wire has a resistance of 50 ohms. What will be the strength of another copper wire whose cross section is double and length three times as long?The figure shows a resistor of resistance R = 6.102 connected to an ideal battery of emf 8 = 15.4 V by means of two copper wires. Each wire has length 21.4 cm and radius 2.20 mm. In dealing with such circuits in this chapter, we generally neglect the potential differences along the wires and the transfer of energy to thermal energy in them. Check the validity of this neglect for the circuit of the figure below. What is the potential difference across (a) the resistor and (b) each of the two sections of wire? At what rate is energy lost to thermal energy in (c) the resistor and (d) each section of wire? 8=1 Wire 1 R Wire 2An aluminum rod with a square cross section is 1.8 m long and 6.2 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 1.8 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 x 108 Q-m and the resistivity of copper is 1.69 x 108 Q:m. (a) Number i Units (b) Number i Units