We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have resista albeit small - usually less than an ohm. With this in mind: a. Consider a uniform cylindrical copper wire that has diameter of 1 mm and is 10 m long. What is resistance of this wire? The resistivity of copper is 1.72 x 10-8 №-m. b. This wire is cut in half, and the two strands are used to connect an electric heater to an ou supplying 1500 W at 120 V. Draw a simple circuit diagram, including the voltage source, resistan of the connector wires, and the calculated resistance for the heater. How much of the total 1500 W is absorbed by the connector wires, not by the electric heater? C.

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4) We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have resistance
albeit small - usually less than an ohm. With this in mind:
a. Consider a uniform cylindrical copper wire that has diameter of 1 mm and is 10 m long. What is the
resistance of this wire? The resistivity of copper is 1.72 x 10-8 9-m.
b. This wire is cut in half, and the two strands are used to connect an electric heater to an outlet
supplying 1500 W at 120 V. Draw a simple circuit diagram, including the voltage source, resistances
of the connector wires, and the calculated resistance for the heater.
C. How much of the total 1500 W is absorbed by the connector wires, not by the electric heater?
d. If the specific heat and density of copper are 385 J/kg°C and 8940 kg/m³ respectively, how much
will the connector wires heat up after 1 minute of use? (Assume all energy absorbed by the connector
wires is converted to heat and remains in the copper wire.) Remember that E cmAT, where c is
specific heat, mis mass, and AT is the change in temperature.
=
Transcribed Image Text:4) We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have resistance albeit small - usually less than an ohm. With this in mind: a. Consider a uniform cylindrical copper wire that has diameter of 1 mm and is 10 m long. What is the resistance of this wire? The resistivity of copper is 1.72 x 10-8 9-m. b. This wire is cut in half, and the two strands are used to connect an electric heater to an outlet supplying 1500 W at 120 V. Draw a simple circuit diagram, including the voltage source, resistances of the connector wires, and the calculated resistance for the heater. C. How much of the total 1500 W is absorbed by the connector wires, not by the electric heater? d. If the specific heat and density of copper are 385 J/kg°C and 8940 kg/m³ respectively, how much will the connector wires heat up after 1 minute of use? (Assume all energy absorbed by the connector wires is converted to heat and remains in the copper wire.) Remember that E cmAT, where c is specific heat, mis mass, and AT is the change in temperature. =
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