1. A block made of a material with a resistivity p, has length L and its cross section is square with side dimensions decreasing linearly (from a to b). Assume that the current density is uniform across any cross section taken perpendicular to the length. a a) Find the resistance of the block. b) Verify that for a = b, you recover the resistance for a prism (R=PL, c) What is the rate of the energy dissipated as thermal energy on this resistor if it is connected to a potential difference of V across its terminals? a

1. A block made of a material with a resistivity p, has length L and its cross section is square with side dimensions decreasing linearly (from a to b). Assume that the current density is uniform across any cross section taken perpendicular to the length. a a) Find the resistance of the block. b) Verify that for a = b, you recover the resistance for a prism (R=PL, c) What is the rate of the energy dissipated as thermal energy on this resistor if it is connected to a potential difference of V across its terminals? a

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

If the resistivity of copper is less than that of gold at room temperature, which of the following statements must be true? a) Gold has a higher resistance than copper. b) The sample of gold is thinner than a sample of copper. c) There is more current flowing in the gold than in the copper. d) Electrons in gold are more likely to be scattered than electrons in copper at room temperature when they are accelerated by the same electric field.
A rod of length 2.3 m, with a rectangular cross section (1.5mm x 3.0 mm) is made ofa material with a resistivity of 6.1 × 10^-8 Ohm. A potential difference of 5.0 V isplaces across the ends of the rod.a. Draw a clear physics diagram of the problem.b. At what initial rate is heat generated in the rod?c. Will the rate from part (b) increase, decrease, or remain constantover time, as the rod remains connected to the 2.5 V potential difference?Explain briefly
Problem 1: AAC aluminum stranded conductor as Hawkweed type is composed of 24 aluminum wires with diameter line of each as 0.1118 inch. In data sheet from manufacturer stated that a conductor cross-sectional area is 300,000 cmil. For this conductor: a. Determine total cross- sectional area in numerical calculation and compare percent deviation from manufacture. b. Verify the dc resistance of this conductor at 50°C of 0.21330/mi, when the resistivity of the conductor (p) is 11.88 2-cmil/ft. Assuming that a 2% increase in resistance due to spiraling. c. Determine percent decrease in resistance at 60 Hz at 25° if the resistance at 50° is 0.2108 2/mi, when temperature constant Tof copper is 228. Note that: (1 mile = 5280 ft) and (1inch = 1000 mil)
1. Consider a cylindrical wire that has conduction electron density 6.0 × 1028 1 ,3 and radius 0.5 mm. An electric field with strength m- 7.5 × 10-4 creates a current of 4.8 x 10! electrons per second. a) What is the average drift speed for an electron? (include units) b) What is the average time in between electron collisions? fs (express your answer in femtoseconds)
C03
3. Use the table of values in SSLM week6, p3. Calculate the resistance of copper wire, 100m length, 1.0mm diameter a. circular cross section (in Ohms). B. Having same resistance in (a), what would be the length of aluminum made, 1.0mm diameter-circular cross section (in m)? b. C. If the copper wire in (a) was replaced by steel material, having the samne length of 100m, what is diameter of a circular cross section wire (in m)?
a) . The equivalent resistant seen by the source. b) The total current I. c) . . The voltage across the 2K resistor. 1 kN 1 kΩ> 4 kN 20V 3 kN 2 kN 6.6 kN
Two pieces of copper wire have the same length, but wire A has square cross section of side s, whereas wire B has circular cross section of diameter s. Which of the following is TRUE? A. The resistivity of both wires is the same B. The resistance of both wires is the same C. The resistance of wire A is greater than B D. The resistance of wire B is greater than A
1. Including uncertainty, calculate the expected resistance of an orange-green-red-gold resistor. 2. A student wires a circuit. When the power supply is switched on, the ammeter reads I = 60 mA and the voltmeter reads V = 4.5 V.a) Use Ohm’s law to calculate the resistance of the resistor being measured.b) What should the student set the voltage to so the current in the resistor is 0.05 A? c) Assuming the resistor has a 10% tolerance, what the color code?
C-Copper wire of length (4) connected in parallel with aluminum wire of length(2) and (10mm) diameter, if the current in each wire is the same. Find the diameter of the copper wire if the resistivity of copper is (0.0159 u-m) & for aluminum is (0.0254 u-m).
The resistance R of a conductor depends on its shape and physical dimensions and a property of the material called the resistivity p What does the resistivity of a material depend upon? Assuming that the resistivity of copper is a quarter of that of aluminium and that the density of copper is three times that of aluminimium, find the ratio of the masses of copper and aluminium wires with the same length and the same resistance but with different cross - sectional areas .
Q2/ A sample of pure Ge, has (2 mm) length, (1 mm) width, and (0.5 mm) thickness. Answer the following: a- What is the voltage required for a current of (3 mA) between the opposite (2 x 1 mm) ends. b- Repeat "1" for a current(1 mA) between the opposite (1 x 0.5 mm) ends. c- Repeat "1" for a current(4 mA) between the opposite (2 x 0.5 mm) ends. Note: the intrinsic resistivity is (2500 N.m) at 30OK.