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An electron moves along the z-axiswith vx=1.0107m/s. As it passes the origin, what are the strength and direction of the magnetic field at the (x,y,z)positions. (a) (1 cm, 0 cm, 0 cm) (b) (o cm, o cm, 1 cm)

(c) ( 0 cm, 1 cm, 1 cm)?

Short Answer

Expert verified

The strength and magnetic field at (x,y,z)

(a) B=3.21015Tin the negativeydirection.

(b) B=0T

(c)B=1.141015Tin the positivexdirection.

Step by step solution

01

  Blot-Savart Law 

A moving charge produces the magnetism. To compute the magnetism at a specific location, use the Blot Savart law. The transfer function becomes multiplied because of radial and path length dimensions are always perpendicular. The magnetic force due to a given direction in the form is formed.

Bpoint charge=o4qvsinr2

This same angles between of area's axis and also the charge's rate is zero

B=o4qvsinr2

=4107Tm/A41.61019C2107m/ssin90(0.01m)2

=3.21015T

02

Direction and Velocity 

The torque generated either by destination's direction and the mount's velocity is =0

B=o4qvsinr2

=o4qvsin0r2

=0T

03

Positive Direction

The torque generated by the destination's axis or the mount's velocity is=45. The range again from original really does have a significance of

r=(1cm)2+(1cm)2=1.41cm

B=o4qvsinr2

=4107Tm/A41.61019C2107m/ssin45(0.0141m)2

=1.141015T

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