Magnetic Fields due to Electric Current — Class 12 Maharashtra HSC Physics revision notes
A 5-page visual revision sheet for Magnetic Fields due to Electric Current, written for Class 12 Maharashtra HSC Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
A preview of page 1 — all 5 pages open full size in the app.
What this Magnetic Fields due to Electric Current sheet covers
Charge in motion
Lorentz force
Circular path
magnetic force
The Lorentz force
on a charge q moving with velocity v
magnitude
with an electric field also present
circular motion in a magnetic field
Circular motion in a uniform field
cyclotron formula
The cyclotron formula
momentum in terms of the radius
SI unit of B
older, still common unit
cyclotron accelerator
cyclotron
The cyclotron accelerator
cyclotron period
cyclotron frequency
Period and frequency of revolution
from mv=qBR and T=2 pi R/v
Limits and uses
force on a current carrying conductor
force on a wire
Force on a current carrying wire
straight wire of length vector L, uniform B
magnitude when B is perpendicular to the wire
wire of arbitrary shape, uniform B
force between parallel wires
force between two parallel currents
force per unit length, wires a distance d apart
Where the ampere comes from
biot-savart law
The Biot-Savart law
field due to a current element I dl, at distance r
vector form
permeability of free space
field due to a straight wire
field of a long straight current
Field of a long straight wire
infinitely long wire, perpendicular distance R
semi-infinite wire, from one end only
field due to circular arc
field at the centre of a coil
Field of a circular arc and a full loop
arc subtending angle theta at the centre, radius r
full circular loop, centre, single turn
coil of N turns
magnetic dipole moment
magnetic moment of a current loop
ampere's circuital law
ampere's law
line integral of B around any closed loop equals mu_0 times the enclosed current
solenoid magnetic field
toroid magnetic field
Solenoid and toroid
long solenoid, n turns per unit length, current i
toroid, N total turns, mean radius R
Applying Ampere's law
torque on a current loop
flat coil of N turns, area A, in a uniform field B
in terms of the magnetic moment
moving coil galvanometer
The moving coil galvanometer
deflecting torque, radial field makes sin theta=1 always
restoring torque of the spring, torsional constant K
at equilibrium, deflection proportional to current
These notes are not a standalone PDF. CapCompass plans Physics chapter by chapter against your real exam dates and free hours, and when the plan reaches Magnetic Fields due to Electric Current the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.