A hollow copper wire with an inner diameter of 1.30 mm and an outer diameter of 2.80 mm carries a current of 10.0 A.
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- A copper wire of cross-sectional area 2.40 × 10-6 m2 and length 4.00 m has a current of 3.00 A uniformly distributed across that area. (a) What is the magnitude of the electric field along the wire? (b) How much electrical energy is transferred to thermal energy in 40.0 min? (a) Number Units (b) Number UnitsA copper transmission cable 180 kmkm long and 12.0 cmcm in diameter carries a current of 145 A. What is the potential drop across the cable?A gold wire carries 15.6 A of current with a drift velocity of 3.7 × 10-3 m/s. Assume there is one free electron per gold atom, and the density of gold is 1.93 × 104 kg/m3. The molecular weight of gold is 196.97 g/mol. Part (a) What is the diameter of this gold wire? Part (b) For the problem above, determine the resistance of the wire under those conditions. Assume the wire is 4.2 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m. Part (c) How much power is dissipated by this wire? (In watts) Part (d) If the wire is heated by an additional 189 K (compared to part (a)), what is the new resistance at this raised temperature? The temperature coefficient of resistivity for gold is 3.4 × 10-3 °C-1 Part (e) Under the conditions in part (d), what is the value of the potential for the wire? Part (f) Under the conditions in part (d), how many electrons pass through the wire in 11 s?
- A 16 gauge wire of diameter 1.291 mm carries a 5.50 mA current. How many electrons per second pass by any given point in this wire?An aluminum wire having a cross-sectional area equal to 3.90 10-6 m2 carries a current of 8.00 A. The density of aluminum is 2.70 g/cm3. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire.Aluminum wiring can be used as an alternative to copper wiring. Suppose a 40.0-ft run of 10-gauge aluminum wire (2.59 mm in diameter) carrying a current of 7.00 A is used in a circuit. There are 6.03×1028 atoms in 1 m3 of aluminum, with each atom contributing three free electrons to the metal. What time t would it take electrons to travel the length of this run and back?
- A person grasps the ends of an electrically conducting copper wire in each hand. The wire has a cross-sectional area of 4.0x106 m² and its surface is not insulated. If the person's hands are wet, the resistance of the possible electrical pathway from one hand, up the arm, across the chest and down into the other hand is about 1 kQ. (a) A current of 10 mA can “freeze" the muscles so the hands are clenched around the wires. Estimate the potential difference between the ends of the wire which would cause this. (b) How much power is dissipated in the person's body if this current flows? (c) The ends of the wire are connected to make a circuit that includes a battery, If the person grasps the wire with hands 0.20 m apart, comment on the resistances of the possible paths of electric current. The resistivity of copper is 1.7×108 Qm.A power plant supplies a current of 4.80 × 10² A at 545 kV. After being transmitted down a few kilometers of power lines with a total resisance of 2.50 × 10² 2, what percentage of the generated power will be lost to resistive heating? 26.6 Power loss: IncorrectA man foolishly tries to fish a burning piece of bread from a toaster with a metal butter knife and comes into contact with 120-V ac. He does not even feel it since, luckily, he is wearing rubber-soled shoes. What is the minimum resistance of the path the current follows through the person?
- An electrical cable consists of 173 strands of fine wire, each having 3.40 μ resistance. The same potential difference is applied between the ends of all the strands and results in a total current of 0.869 A. (a) What is the current in each strand? (b) What is the applied potential difference? (c) What is the resistance of the cable? (a) Number (b) Number (c) Number Units Units UnitsAn iron wire has a cross-sectional area equal to 5.50 x 10-6 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 12.0 A. (a) How many kilograms are there in 1.00 mole of iron? 0.055 kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). 1.43163 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. electrons/m³ (e) Calculate the drift speed of conduction electrons in this wire. m/s Need Help? Read ItThe density of free electrons in a cylindrical metal wire is 7x10-8 m. The diameter d= 12.23 mm and carrying a current of I- 6.93 A. the drift velocity (in jum/s) of the electrons in the wire must be (charge of electron =1.6x10"19 C)