Electromagnetic Induction — Class 12 Maharashtra HSC Physics revision notes
A 6-page visual revision sheet for Electromagnetic Induction, 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 6 pages open full size in the app.
What this Electromagnetic Induction sheet covers
Flux
Changing flux
Induced emf
faraday's law
Faraday's laws of electromagnetic induction
Reading Lenz's law off a moving magnet
motional emf
Motional emf, a rod sliding on rails
rod of length l sliding at speed v, field B perpendicular to the plane
as a magnetic force on the free charges in the rod
work per unit charge carried the length l
current if the circuit has resistance R
Motional emf in a rotating rod
emf induced across a short segment dr at radius r
integrated over the whole rod of length l, pivoted at one end
in terms of frequency of rotation n
generator
ac generator
AC generator, from Faraday's law
flux through a coil of N turns rotating at angular speed omega
peak emf
so the output is
back emf
Back emf and back torque
eddy current
Induction and energy transfer
flux through a loop of width L partly inside a field, as x shrinks
induced emf and current
force needed to pull the loop out at constant v
rate of doing mechanical work equals the rate of heat production
Eddy currents
self-inductance
self inductance
Inductance of standard shapes
long solenoid, n turns per unit length, length l, area A
toroid of major radius R, minor radius r much less than R, N turns
coaxial cable, inner radius a, outer radius b, length l
series combination
parallel combination
Energy stored in a magnetic field
work done building current i_0 against the back emf
this work is stored as magnetic energy
energy density inside a long solenoid
mutual inductance
Coefficient of coupling
mutual inductance in terms of the two self-inductances
K is the fraction of flux from one coil reaching the other
perfectly coupled coils, K = 1
a coil coupled to itself, L_1 = L_2 = L
transformer
The transformer
primary and secondary emf, same flux per turn phi linked with both
turns ratio equals voltage ratio
ideal transformer, power in equals power out
so current ratio is the inverse of the voltage ratio
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 Electromagnetic Induction 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.