Electron current *A 2 3 6 A wire through which a current is flowing lies along the x-axis as shown. Connecting wires which are not shown in the diagram connect the ends of the wire to batteries (which are also not shown). Electron current flows through the wire in the -x direction, as indicated in the diagram. To calculate the magnetic field at location A due to the current in the wire, we divide the wire into pieces, approximate each piece as a point charge moving in the direction of conventional current, and calculate the magnetic field at the observation location due only to this piece; then add the contributions of all pieces to get the net magnetic field. The wire is 1.9 m long, and is divided into 8 pieces. The observation location A is located at < 0.118, 0.261, 0 > m. The conventional current running through the wire is 6.5 amperes. In this exercise you will calculate the magnetic field at the observation location due only to segment 4 of the wire. What is the direction of conventional current in this wire? +x How long is segment 4? 0.2375 m What is the magnitude of the vector AT for segment 4? A = 0.2375 m What is the vector AT* for segment 4? AT = (0.2375,0,0) m What is the location of the center of segment 4? source location = (-0.118,0,0) m What is the vector from source to observation location, for segment 4? = (0.2375,0.261,0) What is the unit vector ŕ? = (0.673,0.739,0) What is ATX? ATX? (0,0, 0.00014) = m Calculate the magnetic field AB at the observation location due only to the currrent in seqment 4 of the wire. ΔΕ tesla
Electron current *A 2 3 6 A wire through which a current is flowing lies along the x-axis as shown. Connecting wires which are not shown in the diagram connect the ends of the wire to batteries (which are also not shown). Electron current flows through the wire in the -x direction, as indicated in the diagram. To calculate the magnetic field at location A due to the current in the wire, we divide the wire into pieces, approximate each piece as a point charge moving in the direction of conventional current, and calculate the magnetic field at the observation location due only to this piece; then add the contributions of all pieces to get the net magnetic field. The wire is 1.9 m long, and is divided into 8 pieces. The observation location A is located at < 0.118, 0.261, 0 > m. The conventional current running through the wire is 6.5 amperes. In this exercise you will calculate the magnetic field at the observation location due only to segment 4 of the wire. What is the direction of conventional current in this wire? +x How long is segment 4? 0.2375 m What is the magnitude of the vector AT for segment 4? A = 0.2375 m What is the vector AT* for segment 4? AT = (0.2375,0,0) m What is the location of the center of segment 4? source location = (-0.118,0,0) m What is the vector from source to observation location, for segment 4? = (0.2375,0.261,0) What is the unit vector ŕ? = (0.673,0.739,0) What is ATX? ATX? (0,0, 0.00014) = m Calculate the magnetic field AB at the observation location due only to the currrent in seqment 4 of the wire. ΔΕ tesla
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 103A
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