SLIDE 1
Torque on a Current Loop Parallel to a Uniform Magnetic Field
Serway/Jewett Figure 22.19
✁ ✂☎✄ ✆ ✁ ✂✞✝ ✟ ✁ ✂✡✠ ✄ ✆ ✝ ✠ ☛✌☞✎✍ ✏ ✠ ✑ ✆ ✠ ✒ ✆ ✓✕✔✗✖ ✄✙✘ ✚✜✛ ✆ ✠ ✑✣✢ ✤ ✥ ✠ ✒✦✢ ✤Magnetic Dipole in a Magnetic Field and the Biot-Savart Law Torque - - PDF document
Magnetic Dipole in a Magnetic Field and the Biot-Savart Law Torque - - PDF document
Magnetic Dipole in a Magnetic Field and the Biot-Savart Law Torque on a Current Loop in a Uniform Magnetic Field Magnetic Dipole in a Uniform Magnetic Field The Biot-Savart Law Magnetic Field on the Axis of a Circular Current Loop
SLIDE 2
SLIDE 3
Torque on a Current Loop Parallel to a Uniform Magnetic Field (cont’d)
Serway/Jewett Figure 22.19
✄✙✘ ✚✜✛ ✆ ✧★✓✕✔✗✖ ✩ ✢ ✤ ✥ ✧✪✓✕✔✫✖ ✩ ✢ ✤ ✄✙✘ ✚✜✛ ✆ ✓✭✬ ✖ SLIDE 4
Torque on a Current Loop at an Angle to a Uniform Magnetic Field
Serway/Jewett Figure 22.20
✄ ✆ ✠ ✑ ✢ ✤ ☛✌☞✎✍ ✏ ✥ ✠ ✒ ✢ ✤ ☛✌☞✎✍ ✏ ✄ ✆ ✧★✓✕✔✗✖ ✩✯✮✰ ✰ ✰✱ ✢ ✤ ☛✌☞✎✍ ✏✳✲✵✴ ✴ ✴ ✶ ✥ ✧✷✓✕✔✗✖ ✩✸✮✰ ✰ ✰✱ ✢ ✤ ☛✌☞✎✍ ✏✳✲✵✴ ✴ ✴ ✶ ✄ ✆ ✓✕✔ ✢ ✖ ☛✌☞✹✍ ✏ ✁ ✂✺✄ ✆ ✓ ✁ ✂ ✬ ✟ ✁ ✂ ✖ ✁ ✂ ✬is a vector perpendicular to the loop with a magni- tude equal to the area of the loop.
SLIDE 5
Magnetic Dipole in a Uniform Magnetic Field
The magnetic dipole moment ✁ ✂✼✻- f the loop is de-
fined as
✁ ✂✽✻ ✾ ✓ ✁ ✂ ✬ The SI unit of magnetic dipole moment is the A ✿ m ✑.
The direction of ✁ ✂ ✻and
✁ ✂ ✬is given by the right-hand rule.
So, the torque can be expressed as ✁ ✂✺✄ ✆ ✁ ✂✼✻ ✟ ✁ ✂ ✖Serway/Jewett Figure 22.21
SLIDE 6
The Biot-Savart Law
Serway/Jewett Figure 22.22
❀ ✁ ✂ ✖ ✆ ✻❂❁ ❃❅❄ ❀ ✁ ✂❇❆ ✟ ❈ ✝ ✝ ✑The constant
✻ ❁ ✆ ❃❅❄ ✟ ❉❋❊❍● ■❑❏ ✿▼▲ ◆ ✬is called the permeability of free space.
SLIDE 7
Magnetic Field on the Axis of a Circular Current Loop
Serway/Jewett Figure 22.24
❀ ✖ ✆ ✻ ❁ ✓ ❃❅❄ ❖ ❀ ✁ ✂ ❆ ✟ ❈ ✝ ❖ ✝ ✑ ❀ ✖ ✆ ✻ ❁ ✓ ❃❅❄ ❀ ❆ P❘◗ ✑ ✥ ❙ ✑❯❚ ✁ ✂ ✖ ✆ ✖ ✛✗❱ ❲ ✖ ✛ ✆ ❳ ❀ ✖ ❨❬❩ ☛❭✏ ✆ ✻ ❁ ✓ ❃❅❄ ❳ ❀ ❆ ❨❪❩ ☛❫✏ ◗ ✑ ✥ ❙ ✑ SLIDE 8
Magnetic Field on the Axis of a Circular Current Loop (cont’d)
Serway/Jewett Figure 22.24
❨❬❩ ☛▼✏ ✆ ❙ P✎◗ ✑ ✥ ❙ ✑❴❚❴❵❜❛ ✑ ✖ ✛ ✆ ✻ ❁ ✓ ❙ ❃❅❄ P✹◗ ✑ ✥ ❙ ✑❯❚❞❝❪❛ ✑ ❳ ❀ ❆ ✖ ✛ ✆ ✻ ❁ ✓ ❙ ✑ ✤ P✹◗ ✑ ✥ ❙ ✑ ❚ ❝❪❛ ✑ SLIDE 9
Magnetic Field Lines
Serway/Jewett Figure 22.25 (a) and (c)
SLIDE 10