Explanation 1) Concept: By using E q . 29 - 13 , we can find magnitude forces F → 12 , F → 13 and F → 14 . By using these values, we can find the magnitude of net magnetic force per meter of wire length on wire 1 . By calculating the position vector along direction of F → 1 , we can find the net magnetic force per meter of wire length on wire 1 in unit-vector notation. 2) Formulas: i) From E q . 29 - 13 , the force per unit length of wire between two parallel currents is given by F x = μ 0 i 2 2 π d ii) The net magnetic force per meter of wire length on wire 1 is F 1 = F → 12 + F → 13 + F → 14 3) Given: i) Edge length is a = 8.50 c m = 0.085 m ii) Each wire carries a current i = 15.0 A iii) All currents are out of the page. 4) Calculations: From E q . 29 - 13 , the force per unit length of wire between two parallel currents is given by F x = μ 0 i 2 2 π d The force on wire 1 is along the diagonal and only the forces along the diagonal direction contribute. With θ = 45 ° , we can find the net magnetic force per meter of wire length on wire 1 . F 1 = F → 12 + F → 13 + F → 14 F 1 = 2 F 12 c o s θ + F 13 But, F 12 = μ 0 i 2 2 π a

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

See similar textbooks

Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

100%

Chapter 29, Problem 40P

To determine

To find:

The net magnetic force per meter of wire length on wire 1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 29, Problem 39P

Chapter 29, Problem 41P

Students have asked these similar questions

Problem 6: A very long cylindrically symmetric conducting cylinder has an inner radius of r₁ = 4.76 cm and an outer radius r2 = 8.72 cm. A current of 27.3 A is uniformly distributed over the cross-section and flows into the page. I 12 C Part (a) Determine the magnetic field strength, in microtesla, at a point located 2.03 cm from the central axis of the cylinder. Numeric: A numeric value is expected and not an expression. B(2.03 cm) = με = ri Part (b) Determine the magnetic field strength, in microtesla, at a point located 7.16 cm from the central axis of the cylinder. Numeric A numeric value is expected and not an expression. B(7.16 cm) μT μT Part (c) Determine the magnetic field strength, in microtesla, at a point located 12.73 cm from the central axis of the cylinder. Numeric A numeric value is expected and not an expression. B(12.73 cm): =

*33 SSM ILW Figure 29-61 shows a cross section of a long thin ribbon of width w = 4.91 cm that is carrying a uniformly distributed total current -d- : i = 4.61 µA into the page. In unit-vec- tor notation, what is the magnetic field B at a point Pin the plane of the х****х*-X Figure 29-61 Problem 33. ribbon at a distance d = 2.16 cm from its edge? (Hint: Imagine the ribbon as being constructed from many long, thin, parallel wires.)

27 In Fig. 29-55, two long straight wires (shown in cross section) carry the currents i = 30.0 mA and iz = 40.0 mA directly out of the page. They are equal distances from the origin, where they set up a magnetic field B. To what value must current be changed in order to rotate B 20.0° clockwise? -x- Figure 29-55 Problem 27.

Chapter 29 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 29 - Prob. 1Q Ch. 29 - Prob. 2Q Ch. 29 - Prob. 3Q Ch. 29 - Prob. 4Q Ch. 29 - Prob. 5Q Ch. 29 - Prob. 6Q Ch. 29 - Prob. 7Q Ch. 29 - Prob. 8Q Ch. 29 - Prob. 9Q Ch. 29 - Prob. 10Q

Ch. 29 - Prob. 11Q Ch. 29 - A surveyor is using a magnetic compass 6.1 m below...Ch. 29 - Figure 29-35a shows an element of length ds = 1.00...Ch. 29 - SSM At a certain location in the Philippines,...Ch. 29 - Prob. 4P Ch. 29 - Prob. 5P Ch. 29 - Prob. 6P Ch. 29 - Prob. 7P Ch. 29 - Prob. 8P Ch. 29 - Prob. 9P Ch. 29 - Prob. 10P Ch. 29 - Prob. 11P Ch. 29 - Prob. 12P Ch. 29 - Prob. 13P Ch. 29 - Equation 29-4 gives the magnitude B of the...Ch. 29 - Prob. 15P Ch. 29 - Prob. 16P Ch. 29 - Prob. 17P Ch. 29 - Prob. 18P Ch. 29 - Prob. 19P Ch. 29 - Prob. 20P Ch. 29 - Prob. 21P Ch. 29 - Prob. 22P Ch. 29 - Prob. 23P Ch. 29 - Prob. 24P Ch. 29 - Prob. 25P Ch. 29 - Prob. 26P Ch. 29 - Prob. 27P Ch. 29 - GO Figure 29.56a shows two wires, each carrying....Ch. 29 - Prob. 29P Ch. 29 - Prob. 30P Ch. 29 - Prob. 31P Ch. 29 - GO The current-carrying wire loop in Fig. 29-6a...Ch. 29 - Prob. 33P Ch. 29 - Prob. 34P Ch. 29 - Prob. 35P Ch. 29 - Prob. 36P Ch. 29 - Prob. 37P Ch. 29 - Prob. 38P Ch. 29 - Prob. 39P Ch. 29 - Prob. 40P Ch. 29 - Prob. 41P Ch. 29 - Prob. 42P Ch. 29 - Prob. 43P Ch. 29 - Prob. 44P Ch. 29 - Prob. 45P Ch. 29 - Prob. 46P Ch. 29 - ILW The current density inside a long, solid,...Ch. 29 - Prob. 48P Ch. 29 - Prob. 49P Ch. 29 - A solenoid that is 95.0 cm long has a radius of...Ch. 29 - A 200-turn solenoid having a length of 25 cm and a...Ch. 29 - A solenoid 1.30 m long and 2.60 cm in diameter...Ch. 29 - A long solenoid has 100 turns/cm and carries...Ch. 29 - An electron is shot into one end of a solenoid. As...Ch. 29 - Prob. 55P Ch. 29 - Prob. 56P Ch. 29 - Prob. 57P Ch. 29 - Prob. 58P Ch. 29 - Prob. 59P Ch. 29 - Prob. 60P Ch. 29 - A circular loop of radius 12 cm carries a current...Ch. 29 - Prob. 62P Ch. 29 - Prob. 63P Ch. 29 - Prob. 64P Ch. 29 - A cylindrical cable of radius 8.00 mm carries a...Ch. 29 - Two long wires lie in an xy plane, and each...Ch. 29 - Two wires, both of length L, are formed into a...Ch. 29 - Prob. 68P Ch. 29 - Prob. 69P Ch. 29 - Prob. 70P Ch. 29 - A 10-gauge bare copper wire 2.6 mm in diameter can...Ch. 29 - A long vertical wire carries an unknown current....Ch. 29 - Prob. 73P Ch. 29 - The magnitude of the magnetic field at a point...Ch. 29 - Prob. 75P Ch. 29 - Prob. 76P Ch. 29 - Prob. 77P Ch. 29 - A long wire carrying 100 A is perpendicular to the...Ch. 29 - A long, hollow, cylindrical conductor with inner...Ch. 29 - A long wire is known to have a radius greater than...Ch. 29 - Prob. 81P Ch. 29 - Prob. 82P Ch. 29 - Prob. 83P Ch. 29 - Three long wires all lie in an xy plane parallel...Ch. 29 - Prob. 85P Ch. 29 - Prob. 86P Ch. 29 - Prob. 87P Ch. 29 - Prob. 88P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.