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Magnetic Forces And Magnetic Fields
Chapter 21
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Outline
nMagnetic fields= 3;
nMoving charge in a magnetic field
<= span class=3DBB style=3D'position:absolute;left:-4.52%;top:.22em'>nCurrent element in= a magnetic field
nTorque on a current-carrying coil
<= span class=3DBB style=3D'position:absolute;left:-4.29%;top:.22em'>nMagnetic fields pr= oduced by currents
nAmpere’s law
nMagnetic materials=
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Magnetic Fields
Like poles repel each other and unlike pole attract each other
The direction of the magnetic field at any point is the direction indicated by the north pole of a small compass needle placed at = that point
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------=_NextPart_01C5E388.19E9B050 Content-Location: file:///C:/27744E71/chapter21_files/slide0004_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhvgEcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAC8 ARsAgAAAAJnM/wKBjI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+DwwKh8Si 8YhMKpfMpvMJjUqn1Kr1is1qt9yu9wsOi8fksvmMTqvX7Lb7DY/L5/S6/Y7P6/f8vv8PGCg4SFho eIiYqLjI2Oj4CBkpOUlZaXmJmam5ydnpmVMAADs= ------=_NextPart_01C5E388.19E9B050 Content-Location: file:///C:/27744E71/chapter21_files/slide0004_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhvwFHAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAC9 AUUAgAAAAOHhtwLejI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+DwwKh8Si 8YhMKpfMpvMJjUqn1Kr1is1qt9yu9wsOi8fksvmMTqvX7Lb7DY/L5/S6/Y7P6/f8vv8PGCg4SFho eIiYqLjI2Oj4CBkpOUlZaXmJmam5ydnp+QkaKjpKWmp6ipqqusra6voKGys7S1tre4ubq7vL2+v7 CxwsPExcbHyMnKy8zNzs/AwdLT1NXW19jZ2tvc3d7f0NHi4+Tl5ufo6err7O3u7+Dh8vP09fb3+P 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Moving charge in a magnetic field<= /div>
üThe velocity of the moving charge must have a component that is perpendicular to the direction of the magnetic field=
üCharge must be moving, no magnetic force acts on a stationary charge
For a charge to experience a magnetic force when placed in B:
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Moving charge in a magnetic field<= /div>
Definition of the magnetic field:
B =3D F/(q0 v sin= q)
SI unit of B: Tesla (T)=3D Ns/Cm
Other unit: 1 gauss =3D 10-4 tesla
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Moving charge in a magnetic field<= /div>
F =3D qvB =3D mv2/r
F =3D qvBsin90 =3D qvB
F is always perpendicular to v
r =3D mv/qB
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Moving Charge in a Magnetic Field<= /div>
Magnetohydrodynamics (MHD)
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Mass Spectrometer
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Ions of different masses but of the same charge +e
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AC0AgAAAAAAAAAJyTICpy+0Pm4m02nqu3nbyDy5ZSHJeiWJjyj5rCytnTANv3c44q+/p7Sv1giQg ETQ8mozKDbN5SUKj0+KzCpFiI9etQ+v9hp3dcQJslqU75XU7jXa/zfNx3L1W5bn18J3e5xW4NfFH aDDYhGhYtZgIhVgAADs= ------=_NextPart_01C5E388.19E9B050 Content-Location: file:///C:/27744E71/chapter21_files/slide0021.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Magnetic Forces And Magnetic Fields
Moving Charge in a Magnetic Field<= /div>
A particle of charge 7.3 mC and mass 3.8 10-8 kg is traveling perpendicular to a 1.6 T magnetic field, as the drawing shows. The <= /span>speed of the particle is 44 m/s.
(a)What is the value of the angle q, such that the particles’s subsequent path with = intersect the y axis at the greatest possible value of y?
(b)Determine this value of y.
Example:<= /span>
Solution:
(a) <= b>q =3D 0o ; (b) ymax = =3D 0.29 m
x        x        x        x x        x        x        x
x        x        x        x
x        x        x        x
q
v
B
y
x
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Moving Charge in a Magnetic Field<= /div>
A proton with a speed of 2.2 106 m/s2 is s= hot into a region between two plates that are <= /span>separated by a distance of 0.18 m. As the <= /span>drawing shows, a magnetic field exists between the plates, and it is perpendicular to the velocity of the proton. What must be the magnitude of the magnetic field, so the proton just misses colliding with the opposite plate?
Example:<= /span>
Solution:
B =3D mv/qr =3D 0.13 T
x  x  x
x  x  x
x  x  x
x  x  x
x  x  x
x  x  x
B
v
proton<= /span>
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F =3D ILBsin= q
Curre= nt element in a magnetic field
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Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhpQArAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACj ACkAgAAAAJnM/wJbjI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+DwwKh8Si 8YhMKpfMpvMJjUqn1Kr1is1qt9yu9wsOi8fksvmMTqvX7Lb7DY/L5/S6/R4pAAA7 ------=_NextPart_01C5E388.19E9B050 Content-Location: file:///C:/27744E71/chapter21_files/slide0020.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Magnetic Forces And Magnetic Fields
Curre= nt element in a magnetic field
The triangle loop of wire shown in the drawing carries a current of I =3D 4.70 A. A uniform magnetic field is directed parallel to side AB of = the triangle and has a magnitude of 1.80 T.
(a)Find the magnitude and direction of the magnetic force exerted on each side of the = triangle.
(b)Determine the magnitude of the net force exerted on the triangle.
Example:<= /span>
Solution:
(a)= FAB = =3D 0N; FBC = =3D 24.2N outward; FAB = =3D 24.2N inward
(b)= Fnet = =3D 0N;
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file:///C:/27744E71/chapter21_files/slide0016.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Magnetic Forces And Magnetic Fields
Torque on a Current-carrying Coil<= /div>
t  =3D NIAB sin<= /span>f
Note: NIA is called the magnetic moment
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Torque on a Current-carrying Coil
The rectangular loop in the drawing consists of 75 turns and carries a current= of I =3D = 4.4 A. A 1.8 T magnetic field is directed along the +y axis. The loop is free = to rotate about the z axis.
(a)Determine = the magnitude of the net torque exerted on the loop
(b)State whet= her the 35o angle will increase or decrease
Example:<= /span>
Solution:
(a) 170 N.m; (b) increase
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quoted-printable Content-Type: text/html; charset="us-ascii" Magnetic Forces And Magnetic Fields
Torque on a Current-carrying Coil<= /div>
Electr= ic motor
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