Are these Electromagnetic Induction notes free?

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What does the Electromagnetic Induction revision sheet cover?

Flux, Changing flux, Induced emf, faraday's law, Faraday's laws of electromagnetic induction, Two coils: the same kick, 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.

Is this for Class 12 Maharashtra HSC Physics?

Yes, it is written for the Maharashtra HSC Physics syllabus.

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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.

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Electromagnetic Induction in one look

a changing flux drives an emf, rotating rods, self and mutual inductance, and the transformer

Flux: how much field threads through the loop
Changing flux: B, A or theta can each do the changing
Induced emf: Faraday's flux rule, the minus sign is Lenz's law

Faraday's laws of electromagnetic induction

first law: a changing flux through a closed circuit induces an emf
a conductor cutting field lines has an emf between its ends
second law: the emf is proportional to the rate of change of flux
N turns in series: e = -N dφ'/dt, φ' the flux per turn
with Lenz's law, the flux rule: e = -dφ/dt, volts and webers

is the flux through the loop increasing or decreasing?

increasing — induced current opposes the increase: sets up its own field opposite to the original flux
decreasing — induced current opposes the decrease: sets up its own field reinforcing the original flux

Two coils: the same kick

a current-carrying coil carried in acts like the magnet
coils still: a kick only at switch on and off

Page 1 of 6. The full sheet, all 6 pages, opens free in the app.

What this Electromagnetic Induction sheet covers

Flux
Changing flux
Induced emf
faraday's law
Faraday's laws of electromagnetic induction
Two coils: the same kick
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
AC generator emf, the special forms
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
Step-up and step-down transformers
Step-up: more secondary turns
Step-down: fewer secondary turns
Traps that cost marks
Tricks that save time

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