ates a magnetic field (Section 30.1). (a) To understand how a moving charge can also create a magnetic field, consider a particle with charge q moving with velocity v. Define the position vector r = rr leading from the particle to some location. Show that the magnetic field %3D at that location is Mo qv x f В 4TT (b) Find the magnitude of the magnetic field 1.00 mm to the side of a proton moving at 2.00 × 107 m/s. (c) Find the magnetic force on a second proton at this point, moving with the same speed in the opposite direc- tion. (d) Find the electric force on the second proto.

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65. As seen in previous chapters, any object with electric
charge, stationary or moving, other than the charged
object that created the field, experiences a force in
an electric field. Also, any object with electric charge,
stationary or moving, can create an electric field
(Chapter 23). Similarly, an electric current or a mov-
ing electric charge, other than the current or charge
that created the field, experiences a force in a mag-
netic field (Chapter 29), and an electric current cre-
Transcribed Image Text:65. As seen in previous chapters, any object with electric charge, stationary or moving, other than the charged object that created the field, experiences a force in an electric field. Also, any object with electric charge, stationary or moving, can create an electric field (Chapter 23). Similarly, an electric current or a mov- ing electric charge, other than the current or charge that created the field, experiences a force in a mag- netic field (Chapter 29), and an electric current cre-
ates a magnetic field (Section 30.1). (a) To understand
how a moving charge can also create a magnetic field,
consider a particle with charge q moving with velocity
v. Define the position vector r = rî leading from the
particle to some location. Show that the magnetic field
at that location is
Mo qv x f
B
=
4
2
(b) Find the magnitude of the magnetic field 1.00 mm
to the side of a proton moving at 2.00 × 107 m/s.
(c) Find the magnetic force on a second proton at this
point, moving with the same speed in the opposite direc-
tion. (d) Find the electric force on the second proton.
Transcribed Image Text:ates a magnetic field (Section 30.1). (a) To understand how a moving charge can also create a magnetic field, consider a particle with charge q moving with velocity v. Define the position vector r = rî leading from the particle to some location. Show that the magnetic field at that location is Mo qv x f B = 4 2 (b) Find the magnitude of the magnetic field 1.00 mm to the side of a proton moving at 2.00 × 107 m/s. (c) Find the magnetic force on a second proton at this point, moving with the same speed in the opposite direc- tion. (d) Find the electric force on the second proton.
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