Magnetism: Difference between revisions
mNo edit summary |
No edit summary |
||
| Line 9: | Line 9: | ||
== Calculate Field == | == Calculate Field == | ||
[[File:CurrentMagneticField.png|thumb|Magnetic field of a current with right hand rule]]<math> | |||
<math> | |||
\vec{B} (\vec{r}) | \vec{B} (\vec{r}) | ||
= \frac{ \mu_0 }{ 4 \pi } \frac{ I_1 d\vec{l}_1 \times \hat{r}}{ r^2 } | = \frac{ \mu_0 }{ 4 \pi } \frac{ I_1 d\vec{l}_1 \times \hat{r}}{ r^2 } | ||
| Line 18: | Line 17: | ||
Where <math> \mu_0 </math> is magnetic permeability, and <math> \rho | Where <math> \mu_0 </math> is magnetic permeability, and <math> \rho | ||
</math> is distance from the wire. | </math> is distance from the wire. | ||
Any component going along the direction of current is cancelled by cross | Any component going along the direction of current is cancelled by cross | ||
product. '''Something else'''. Therefore, it is unsurprising that | product. '''Something else'''. Therefore, it is unsurprising that | ||
Revision as of 21:58, 29 February 2024
Magnetic Field
A moving charge causes a magnetic field, following the right hand rule: Your thumb pointing towards the direction of movement of the positive charge, and your other fingers wrap around to indicate the direction of the magnetic field.
A circulating current forms a magnetic dipole.
Calculate Field
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vec{B} (\vec{r}) = \frac{ \mu_0 }{ 4 \pi } \frac{ I_1 d\vec{l}_1 \times \hat{r}}{ r^2 } = \frac{ \mu_0 }{ 4 \pi } \frac{ \left| I dl \right| }{ r^3 } \rho \hat{e}_\phi }
Where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu_0 } is magnetic permeability, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \rho } is distance from the wire.
Any component going along the direction of current is cancelled by cross product. Something else. Therefore, it is unsurprising that magnetic field is circulating.
