Could you please help me with the rest? Thx A wire through which a current is fl
ID: 1582531 • Letter: C
Question
Could you please help me with the rest? Thx
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 8.5 amperes. In this exercise you will calculate the magnetic field at the observation location due only to segment 1 of the wire.
What is the direction of conventional current in this wire? +x
How long is segment 1? 0.2375m
Explanation / Answer
given
L = 1.9 m long,
divided into 8 pieces
A is located at < 0.118, 0.261, 0 > m
The conventional current running through the wire is 8.5 A.
a)
the direction of the flow of the current in an opposite directin.
then can say that the directin is in Positive X-direction.
b)
dL = L/8
L = 1.9 / 8
L = 0.2375 m
c)
the dL magnitude is | dL |
| dL | = 0.2375 m
d )
the vector is
dL = ( 0.2375, 0, 0 )
e )
r = - ( 2 X dL + dL/2 )
r = - ( 2 X 0.2375 + 0.2375 / 2 )
r = - 0.59375 m
f)
r = ra - r2
= ( 0.118 - 0.5975 , 0.261 , 0 )
r = ( 0.7155 , 0.261 , 0 )
g )
r = r / |r|
r = ( 0.7155 . 0.261 , 0 ) / ( 0.71552 + 0.2612 )1/2
r = ( 0.7155 . 0.261 , 0 ) / 0.761
r = (0.94 ,0.342, 0 )m