1. How much current must pass through a 400 turn coil 4.0 cm longto generate a 1

Question

1. How much current must pass through a 400 turn coil 4.0 cm longto generate a 1.0-T magnetic field at the center?

2.A long wire of radius R carryingcurrent I is placed alongthe y-axis. At what distance x,measured from the center of the wire, is the magnetic field amaximum?   3.A long wire of radius R carryingcurrent I is placed alongthe y-axis. At what distance x,measured from the center of the wire, is the magnetic field amaximum?
4.An electron moves with a speed of 8.0 ×106 m/s along the +x axis. It enters a region wherethere is a magnetic field of 2.5 T, directed at an angle of 60°to the +x axis and lying in the xy plane. Calculate the magnitudeof the magnetic force on the electron. How much current must pass through a 400 turn coil 4.0 cm longto generate a 1.0-T magnetic field at the center?

2.A long wire of radius R carryingcurrent I is placed alongthe y-axis. At what distance x,measured from the center of the wire, is the magnetic field amaximum?   3.A long wire of radius R carryingcurrent I is placed alongthe y-axis. At what distance x,measured from the center of the wire, is the magnetic field amaximum?
4.An electron moves with a speed of 8.0 ×106 m/s along the +x axis. It enters a region wherethere is a magnetic field of 2.5 T, directed at an angle of 60°to the +x axis and lying in the xy plane. Calculate the magnitudeof the magnetic force on the electron.

Explanation / Answer

1) number of turns in the coil   N =400 turns      length of the coil    L = 4 cm = 0.04 m     magnitude of magnetic field   B = 1.0T           magneticfield near the center of a solenoid                          B = o N I / L                    I   = B L / o N    = ( 1.0 T ) ( 0.04 ) / 4*3.14 *10-7 * 400    = 79.6 A    4) speed of electron    v =8*106 m/s        magnitude of magnetic field B = 2.5 T    angle = 60 o    charge of electron    q = 1.6*10-19 C    magneticforce on electron    F = B q V sin plug the values and get theanswers

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