Introduction to Electromagnetism Harsha Wasalathanthri What's Electromagnetism?
On a slightly bigger scale ...
Start with magnetic field from a current carrying wire Right hand rule
Calculating force from electromagnet Start with Ampere's law. ∲B.dl = μIenc ; μ - Permeability of space B - Magnetic field Ienc- current enclosed by loop 2πRB = μI B = μI/(2πR) R I
Magnetic field from N coils. Interested in field close to coils, not center of coils. 2πRB = μ(NI) B = μNI/(2πR)
Force on a current carrying wire in a magnetic field F = BIL
Coil on top of “perfect” conductor Conductor creates magnetic field to cancel external magnetic field Magnetic field from coil Magnetic field from conductor
Force on coil Force acts symmetrically on coil Force on a segment of one turn of coil F1turn = BIL; L = 2πR = μNI/(2πδ)*I*2πR = μRNI2R/δ Ftotal= F1turn *N =μRN2I2R/δ f f I B δ B B = μNI/(2πδ)