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Derivation of Biot Savart law in College Physics
2022-07-06 01:57:00 【Yingzhi 123】
Biot · Biot Savart's Law
among Is the unit vector from the current element to the direction of the reference point , Is the vacuum permeability . The magnetic induction intensity of the magnetic field generated by the current element vertical And A plane composed of , And meet the right-hand screw rule .
Current element
Definition : Is the current element . The size is , The direction of is determined by the current flow direction where the line element is located .
Purpose : Use the integral method to calculate the magnetic field distribution of any shape .
Magnetic field of current element
size :
Magnetic field of current carrying straight wire
Long for Current carrying straight conductor , The current is , The calculated distance from the straight wire is Of The magnetic induction intensity of the point .
The mathematical formula involved
Integral derivation of magnetic induction intensity
therefore :
Infinite current carrying straight wire
be ,
Expanding knowledge
Magnetic phenomenon
- All magnetic phenomena originate from the motion of electric charges .
- All magnetic forces are essentially the force between charges .
There are four basic forces in the universe
1、 Gravity is also called gravity , It is the weakest of the four basic interactions , But at the same time, it has the largest scope of action . In general relativity, gravity is due to curved space and time .
2、 Electromagnetic force : Most substances in the world have electromagnetic force , And magnetism and electricity are one of the expression modes of electromagnetic force .
3、 Strong interaction force is also called strong nuclear force , All matter in the universe is made up of atoms , Atoms are made up of electrons and nuclei , The nucleus is made up of neutrons and protons .
4、 Weak interaction force is also called weak nuclear force , It can be said to be another source of nuclear energy , It is mainly the natural radiation produced by the nucleus , Among the four interaction forces , Weak interaction is only a little stronger than gravity .
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