BackA scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates a 6.5-m-long, 2.0-mm-diameter wire of the material, connects it to a 1.5 V battery, and measures a 3.0 mT magnetic field 1.0 mm from the surface of the wire. What is the material's resistivity?
An idealized ammeter is connected to a battery as shown in Fig. E. Find the terminal voltage of the battery.
An idealized ammeter is connected to a battery as shown in Fig. E. Find the current through the - resistor.
An idealized ammeter is connected to a battery as shown in Fig. E. Find the reading of the ammeter.
The conductance G of an object is defined as the reciprocal of the resistance R; that is, G = 1/R. The unit of conductance is a mho ( = ohm⁻¹), which is also called the siemens (S). What is the conductance (in siemens) of an object that draws 380 mA of current at 3.0 V?
The filament of an incandescent lightbulb has a resistance of 12 Ω at 20°C and 140 Ω when hot.
(a) Calculate the temperature of the filament when it is hot, and take into account the change in length and area of the filament due to thermal expansion (assume tungsten for which the thermal expansion coefficient is ≈ 5.5 10⁻⁶ C°⁻¹ ).
(b) In this temperature range, what is the percentage change in resistance due to thermal expansion, and what is the percentage change in resistance due solely to the change in ρ? Use Eq. 25–5.
For some applications, it is important that the value of a resistance not change with temperature. For example, suppose you made a 3.60-k Ω resistor from a carbon resistor and a Nichrome wire-wound resistor connected together so the total resistance is the sum of their separate resistances. What value should each of these resistors have (at 0°C) so that the combination is temperature independent?
Compute the voltage drop along an 18-m length of household no. 14 copper wire (used in 15-A circuits). The wire has diameter 1.628 mm and carries a 12-A current.
Two aluminum wires have the same resistance. If one has twice the length of the other, what is the ratio of the diameter of the longer wire to the diameter of the shorter wire?
Can a 1.8-mm-diameter copper wire have the same resistance as a tungsten wire of the same length? Give numerical details.
What is the resistance of a 5.1-m length of copper wire 1.5 mm in diameter?
(II) A bird stands on a dc electric transmission line carrying 3800 A (Fig. 25–35). The line has 2.5 x 10-5Ω resistance per meter, and the bird’s feet are 4.0 cm apart. What is the potential difference between the bird’s feet?
<IMAGE>
(II) A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm, lying along the x, y, and z axes, respectively (Fig. 25–36). Determine the resistance for current that passes through the solid in the x direction (Assume the resistivity is ρ = 3.0 x 10-5 Ω m).
A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm, lying along the x, y, and z axes, respectively (Fig. 25–36). Determine the resistance for current that passes through the solid in the y direction, (Assume the resistivity is ρ = 3.0 x 10⁻⁵ Ω•m).
A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm, lying along the x, y, and z axes, respectively (Fig. 25–36). Determine the resistance for current that passes through the solid in the z direction. (Assume the resistivity is ρ = 3.0 x 10-5 Ω•m) .