Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 21, Problem 64P

(a)

To determine

The magnitude and direction of the electric field in the wire.

(b)

To determine

The resistance of the wire.

(c)

To determine

The magnitude and direction of the electric current in the wire.

(d)

To determine

The current density in the wire.

(e)

To determine

Show that the relation E=ρJ.

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A straight, cylindrical wire lying along the x axis has a length L and a diameter d. It is made of a material described by Ohm’s law with a resistivity ρ. Assume potential V is maintained at the left end of the wire at x = 0. Also assume the potential is zero at x = L. In terms of L, d, V, ρ, and physical constants, derive expressions for (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e) Show that E = ρJ.
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Chapter 21 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 21 - The current-versus-voltage behavior of a certain...Ch. 21 - Prob. 4OQCh. 21 - A potential difference of 1.00 V is maintained...Ch. 21 - Prob. 6OQCh. 21 - A metal wire of resistance R is cut into three...Ch. 21 - The terminals of a battery are connected across...Ch. 21 - Prob. 9OQCh. 21 - Two conducting wires A and B of the same length...Ch. 21 - When resistors with different resistances are...Ch. 21 - When operating on a 120-V circuit, an electric...Ch. 21 - Prob. 13OQCh. 21 - Prob. 14OQCh. 21 - In the circuit shown in Figure OQ21.15, each...Ch. 21 - Prob. 1CQCh. 21 - Prob. 2CQCh. 21 - Prob. 3CQCh. 21 - Referring to Figure CQ21.4, describe what happens...Ch. 21 - When the potential difference across a certain...Ch. 21 - Use the atomic theory of matter to explain why the...Ch. 21 - Prob. 7CQCh. 21 - (a) What advantage does 120-V operation offer over...Ch. 21 - Prob. 9CQCh. 21 - Prob. 10CQCh. 21 - If you were to design an electric heater using...Ch. 21 - Prob. 12CQCh. 21 - Prob. 13CQCh. 21 - Prob. 14CQCh. 21 - Why is it possible for a bird to sit on a...Ch. 21 - Prob. 1PCh. 21 - Prob. 2PCh. 21 - The quantity of charge q (in coulombs) that has...Ch. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Figure P21.6 represents a section of a conductor...Ch. 21 - Prob. 7PCh. 21 - A 0.900-V potential difference is maintained...Ch. 21 - Prob. 9PCh. 21 - A lightbulb has a resistance of 240 when...Ch. 21 - Prob. 11PCh. 21 - Prob. 12PCh. 21 - While taking photographs in Death Valley on a day...Ch. 21 - Prob. 14PCh. 21 - If the current carried by a conductor is doubled,...Ch. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - Prob. 22PCh. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - A 100-W lightbulb connected to a 120-V source...Ch. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - A toaster is rated at 600 W when connected to a...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Review. A well-insulated electric water heater...Ch. 21 - A battery has an emf of 15.0 V. The terminal...Ch. 21 - Two 1.50-V batterieswith their positive terminals...Ch. 21 - An automobile battery has an emf of 12.6 V and an...Ch. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Consider the circuit shown in Figure P21.39. Find...Ch. 21 - Four resistors are connected to a battery as shown...Ch. 21 - Three 100- resistors are connected as shown in...Ch. 21 - Prob. 42PCh. 21 - Calculate the power delivered to each resistor in...Ch. 21 - Prob. 44PCh. 21 - The ammeter shown in Figure P21.45 reads 2.00 A....Ch. 21 - Prob. 46PCh. 21 - The circuit shown in Figure P21.47 is connected...Ch. 21 - In Figure P21.47, show how to add just enough...Ch. 21 - Taking R = 1.00 k and = 250 V in Figure P21.49,...Ch. 21 - For the circuit shown in Figure P21.50, we wish to...Ch. 21 - In the circuit of Figure P21.51, determine (a) the...Ch. 21 - Jumper cables are connected from a fresh battery...Ch. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - In the circuit of Figure P21.57, the switch S has...Ch. 21 - Prob. 58PCh. 21 - The circuit in Figure P21.59 has been connected...Ch. 21 - Assume that global lightning on the Earth...Ch. 21 - Prob. 61PCh. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - An oceanographer is studying how the ion...Ch. 21 - The values of the components in a simple series RC...Ch. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - The student engineer of a campus radio station...Ch. 21 - Prob. 72PCh. 21 - A battery has an emf and internal resistance r. A...Ch. 21 - Prob. 74PCh. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77P
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