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`Eletric CurrentβBiot-Savart Law of Current in WireβProperties of Biot-Savart LawβSource and Reference`

# Eletric Current

Electron current is the current that electrons exit batter at -ve terminal, and enter battery at -ve terminal. Conventional current is the current that fictitous positive charges exit battery at +ve terminal, and enter battery at -ve terminal. ```Electron Current π=ππ΄πΏπΏ/π£=ππ΄π£=electronssecond Conventional Current πΌ=|π|ππ΄π£=Coulombssecond=Amperes where π=electronsπ3= Density of electrons in the wire π΄=[π2]= Cross sectional area of the wire π£=ππ = Average velocity of electrons in the wire. ```

## Biot-Savart Law of Current in Wire

The Biot-Savart Law of Current in Wire is `βπ΅=π04ππΌβπΓπ|π|2` The Biot-Savart Law of current in wire can be dervied from Biot-Savart Law of charge particle. The current in the wire can be considered as many point charges in the wire. `ππ£=πππ£=ππ΄βπππ£=π|π£|ππ΄βπ=πΌβπ`

## Properties of Biot-Savart Law

Magnetic field depends on frame of reference. The velocities of charges must be used the same reference frame as the observer.
Biot-Savart Law is an approximation. The changes of B-field or E-field propagate at speed of light. The law assumes that π£βͺπ, and the measurement is not taken so quickly.

## Source and Reference

ID: 191201502 Last Updated: 12/15/2019 Revision: 0

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