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Electromagnetic Induction, Lecture notes of Physics

ALevel Physics Cambridge resources Electromagnetic Induction

Typology: Lecture notes

2024/2025

Available from 07/07/2025

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If a varying magnetic Field is cut by a coil, an E.M.F. will be induced on its terminals and electric current will flow.
The size of the E.M.F induced depends on the cutting rate of magnetic field lines
To increase the cutting rate :
1. Increase the number of turns of the coil
2. Increase the magnetic flux density of the magnet
3. Increase the speed of the magnet
The current induced will be in such a direction opposing the change causing it.
The current in the coil creates a magnetic field opposing the motion of the magnet
2 circuits with 2 different coils, one of them is connected to an AC current, the other will have E.M.F. induced into
it
Adding a soft iron bar into the 2 coils increases the E.M.F. Induced
B
=
ϕ
A
ϕ
=
BA
B
 Magnetic Flux Density in Tesla
A
 Area
to the field
ϕ
 Measured in weber (
Wb
) or
Tm
2
Magnetic flux linkage (for a solenoid)
Electromagnetic Induction
Lenz's Law
Magnetic Flux
ϕ
pf3
pf4

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If a varying magnetic Field is cut by a coil, an E.M.F. will be induced on its terminals and electric current will flow.

The size of the E.M.F induced depends on the cutting rate of magnetic field lines To increase the cutting rate :

  1. Increase the number of turns of the coil
  2. Increase the magnetic flux density of the magnet
  3. Increase the speed of the magnet

The current induced will be in such a direction opposing the change causing it.

The current in the coil creates a magnetic field opposing the motion of the magnet

2 circuits with 2 different coils, one of them is connected to an AC current, the other will have E.M.F. induced into it

Adding a soft iron bar into the 2 coils increases the E.M.F. Induced

B =

A

ϕ = BA

B Magnetic Flux Density in Tesla A Area ⊥ to the field ϕ Measured in weber (Wb) or T m^2

Magnetic flux linkage (for a solenoid)

Electromagnetic Induction

Lenz's Law

Magnetic Flux ϕ

ϕ = BAN

A Cross sectional Area N Number of turns in the coil

E ∝

Δ t

E = −

Δ t

"-" because of Lenz's Law E E.M.F. induced

sine wave

explain why the magnitude of the sine wave changes continuously

 square the sine wave  take the average of the wave (baseline)  square root the value

Faraday's Law

AC Current

Root Mean Square (R.M.S.)

Bumpy DC

Circuit

Circuit

 Current charges the Capacitor  When the Current is reversed, the capacitor acts like a power supply, discharging into the resistor The higher the Capacitance The higher the τ , the longer it takes to discharge

Half Wave Rectification

Full Wave Rectification

Smoothing