Explanation Given info: The magnitude of current on wire along the x axis is 5.00 A , the magnitude of current on wire along the y axis is 3.00 A and the location of point is 30.0 cm along the z axis. The expression of magnetic field ( B ) at a distance from the current carrying wire is, B = μ 0 I 2 π r (1) Here, μ 0 is the permeability of free space. I is the current in wire. r is the distance between the magnetic field and the wire. From equation (1), the expression of magnetic field ( B 1 ) along the x axis is, B 1 = μ 0 I 1 2 π r 1 Here, I 1 is the current in the wire along the x axis. r 1 is the distance between the point and the wire along the x axis. Substitute 4 π × 10 − 7 T . m / A for μ 0 , 5.00 A for I 1 and 30.0 cm for r 1 in the above equation. B 1 = ( 4 π × 10 − 7 T . m / A ) ( 5.00 A ) 2 π 30.0 cm ( 10 − 2 m 1 cm ) = ( 4 π × 10 − 7 T . m / A ) ( 5.00 A ) 2 π ( 0.3 m ) = 33.333 × 10 − 7 T ( 10 6 μT 1 T ) ≈ 3 .33 μT The wire along the x axis creates a magnetic field of 3 .33 μT and the direction of the magnetic field is towards downward direction. From equation (1), the expression of magnetic field ( B 2 ) along the y axis is, B 2 = μ 0 I 2 2 π r 2 Here, I 2 is the current in the wire along the y axis. r 2 is the distance between the point and the wire along the y axis. Substitute 4 π × 10 − 7 T . m / A for μ 0 , 3.00 A for I 1 and 30.0 cm for r 2 in the above equation. B 2 = ( 4 π × 10 − 7 T . m / A ) ( 3.00 A ) 2 π 30.0 cm ( 10 − 2 m 1 cm ) = ( 4 π × 10 − 7 T . m / A ) ( 3.00 A ) 2 π ( 0

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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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

Chapter 30, Problem 30.63AP

To determine

The magnetic field at a point 30.0 cm above the point of intersection of the wires along the z axis.

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Chapter 30 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 30 - Consider the magnetic field due to the current in...Ch. 30 - A loose spiral spring carrying no current is hung...Ch. 30 - Prob. 30.3QQ Ch. 30 - Prob. 30.4QQ Ch. 30 - Consider a solenoid that is very long compared...Ch. 30 - Prob. 30.1OQ Ch. 30 - In Figure 30.7, assume I1 = 2.00 A ami I2 = 6.00...Ch. 30 - Answer each question yes or no. (a) Is it possible...Ch. 30 - Two long, parallel wires each carry the same...Ch. 30 - Two long, straight wires cross each other at a...

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The magnetic field at a point 30.0 cm above the point of intersection of the wires along the z axis.

Solution Summary: The author calculates the magnetic field at a point 30.0cm above the point of intersection of the wires along the z axis.

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The magnetic field at a point 30.0 cm above the point of intersection of the wires along the z axis.

Chapter 30 Solutions