4 Quick Questions
1. Determine the electrostatic force between a proton and an alpha particle separated
by 3µm
2. Determine the electric field strength 0.5 µm from the proton in direction of the
alpha particle
3. Determine the magnetic field at P, if P is 3 cm east of a wire with a current of 12 A
travelling north
4. For question 2 determine the position other than infinity where the electric field
would be zero.
4 Quick Questions
1. Determine the electrostatic force between a
proton and an alpha particle separated by 3µm
4 Quick Questions
2) Determine the electric field strength 1µm from
the proton in direction of the alpha particle
Q3)
4. For question 2 determine the position other than infinity where the
electric field would be zero.
Current in Magnetic Field
An Electrical Current, in a magnetic field will cause
a force.
Magnetic Force on a Current Carrying
Conductor

sin
BIL

F For a straight
wire in a uniform
field
Perpendicular current
full force, wire parallel
no force
Right hand force rule
Ex 1
A current of 3A is running through wire in
presence of a magnitude field of 0.2T as shown.
Determine the force acting on the wire, if wire is
20 cm long.
Ex 1
A current of 3A is running through
wire in presence of a magnitude
field of 0.2T as shown. Determine
the force acting on the wire, if wire
is 20 cm long.
What happens to a moving
charged particle in a magnetic
field
Charged Particles and Magnetic Field
q
B
v
+q
FB
Force direction:
Positive charged particles,
right hand force rule
Negative charged particles,
(use back of hand)
The path of a charged
particle is changed by a
magnetic field
Magnetic Force of moving charged particles?
Derive of much force
F = BIL sinΘ
Hint I = ?
Magnetic Force
Tesla (T)=N/(C.m/s)=N/(A.m)
q – Charge (C)
v – Velocity (m/s)

sin
vB
F q

Magnetic Force

sin
vB
F q

Tesla (T)=N/(C.m/s)=N/(A.m)
r – Radius of curvature
Magnetic Force

sin
vB
F q

Tesla (T)=N/(C.m/s)=N/(A.m)
r – Radius of curvature
Fc =
Applications
Cyclotron Mass Spectrometer
EX A proton is travelling at 3.4 x 106
ms-1
perpendicular to a magnetic
field of 7 x 10-3
T. Determine:
a) The force acting on the proton
b) The radius of curvature
EX A proton is travelling at 3.4 x 106
ms-1
perpendicular to a magnetic field of 7 x 10-3
T.
Determine:
a) The force acting on the proton
b) The radius of curvature
Magnetic Flux- a measurement of the total
magnetic field that passes through a given area; a
measure of the number of magnetic field lines
passing through the given area (symbol, ; SI
𝜙
unit, Wb)
Faraday’s Law
‘The induced EMF in a coil is proportional to the rate of
change of magnetic flux.’
EMF – Electromotive Force
Will cause an induced current only briefly when switched on
or off. ie. Only when a CHANGE in magnetic flux. Not when
switch is left in the on position.
Dec 25, 2025
Voltage is induced when a magnet moves towards or
away from a coil, inducing a current in the coil.
Faster the magnet’s motion, the greater the induced
current.
A Simple Generator
• If the conductor forms
part of a circuit, a current
will flow.
• A coil is rotated inside a
magnetic field, causing
current to flow.
Lenz’s Law
This just says that ‘the direction of the Induced Current is
such that it opposes the change that causes it’.
‘If you push a wire through a field the induced current makes a
force that pushes back’ – Think Friction
‘If a field is pointing one way and a conductor moves through it,
then the induced current makes a field that points the opposite
way’
The negative in Faraday’s Law represents opposite voltage
The current that flows makes
it’s own force on the
conductor.
You can use Right hand rule to
predict it too.
This force is in the opposite
direction to the motion that
is creating the current!
As a conductor moves through a magnetic field......
Remember this: (Electromagnetic Induction of straight wire)
If there wasn’t an opposing Force being made then once you
started pushing the Conductor through the field it would carry
on inducing current and increase force, hence continue to
accelerate forever. This would contradict the Law of
Conservation of Energy
Force creating
the Motion
Right Hand Rule
(Force due to current)
If the field of the bar magnet is already in the loop and the magnet is removed, the
induced current is in the direction that tries to keep the field constant
2 Direction of induced current
In both cases, magnet
moves against a force.
Work is done during
the motion & it is
transferred as electrical
energy.
Induced I always flows to oppose the
movement which started it.
b Lenz's law
Example 1
Current induced along a coil
A bar magnet passes through a coil:
(a) Indicate the direction of the induced I
in each case. Explain briefly.
(i) (ii) (iii)
FALLING MAGNET
• The copper tube “experiences"
a changing magnetic field from
the falling magnet. This
changing magnetic field induces
a current in the copper tube.
• The induced current in the
copper tube creates its own
magnetic field that opposes the
magnetic field that created it.
Hence slows the magnet.
• Determine the poles of the
magnet in the tube?
Transformer
• What is a transformer?
Primary
Coil
Secondary
Coil
Primary
Coil
Secondary
Coil
A device that used to change high
voltage current into low voltage
current and vice-versa.
Will a transformer work with DC current?
Why Transform Voltage?
•It is based on principle of
MUTUAL INDUCTION.
•(E.M.F. is induced in a coil when current in the
neighbouring coil changes.)
Principle Of Transformer
Types of Transformers
• Primary coils < Secondary coils
Step Up
Step Down Transformer
• Primary Coils > Secondary Coils
Step Down
Transformers Equations
Voltage across Primary
Voltage across Secondary
No of turns on Primary
No of turns on Secondary
=
Vp np
VS nS
=
• Input Power = Output Power
• Ip Vp = Is Vs
Worked Example
• A voltage of 240V with 15A is applied to a primary
coil of 10 turns. What is the voltage and current
across the secondary coil if it has 200 turns?
Worked Example
• A voltage of 240V with 15A is applied to a primary
coil of 10 turns. What is the voltage and current
across the secondary coil if it has 200 turns?
Electromagnetic Radiation
•James Maxwell (1831-1879) proposed that a changing electric field
could create a changing magnetic field – and this would create a
changing electric field – these fields would continue to generate each
other.
In phase changing magnetic field and
electric fields at right angles will propagate
a transverse wave through space- an
electromagnetic wave.
mysite.du.edu
www2.astro.psu.edu
Cumulative Test MC Q8-10
Revision Sheet 9 (All but optional Q4)
Textbook
Page 205 Q1-3, 8-9, 11-14, 18
Page 237 Q1-4, 10-14, 17-20, 27-29, 36-37

Forces on Charged Particles and Electromagnetic Induction.pptx

  • 1.
    4 Quick Questions 1.Determine the electrostatic force between a proton and an alpha particle separated by 3µm 2. Determine the electric field strength 0.5 µm from the proton in direction of the alpha particle 3. Determine the magnetic field at P, if P is 3 cm east of a wire with a current of 12 A travelling north 4. For question 2 determine the position other than infinity where the electric field would be zero.
  • 2.
    4 Quick Questions 1.Determine the electrostatic force between a proton and an alpha particle separated by 3µm
  • 3.
    4 Quick Questions 2)Determine the electric field strength 1µm from the proton in direction of the alpha particle
  • 4.
  • 5.
    4. For question2 determine the position other than infinity where the electric field would be zero.
  • 6.
  • 7.
    An Electrical Current,in a magnetic field will cause a force.
  • 8.
    Magnetic Force ona Current Carrying Conductor  sin BIL  F For a straight wire in a uniform field Perpendicular current full force, wire parallel no force
  • 9.
  • 10.
    Ex 1 A currentof 3A is running through wire in presence of a magnitude field of 0.2T as shown. Determine the force acting on the wire, if wire is 20 cm long.
  • 11.
    Ex 1 A currentof 3A is running through wire in presence of a magnitude field of 0.2T as shown. Determine the force acting on the wire, if wire is 20 cm long.
  • 13.
    What happens toa moving charged particle in a magnetic field
  • 14.
    Charged Particles andMagnetic Field q B v +q FB Force direction: Positive charged particles, right hand force rule Negative charged particles, (use back of hand) The path of a charged particle is changed by a magnetic field
  • 15.
    Magnetic Force ofmoving charged particles? Derive of much force F = BIL sinΘ Hint I = ?
  • 16.
    Magnetic Force Tesla (T)=N/(C.m/s)=N/(A.m) q– Charge (C) v – Velocity (m/s)  sin vB F q 
  • 17.
    Magnetic Force  sin vB F q  Tesla(T)=N/(C.m/s)=N/(A.m) r – Radius of curvature
  • 18.
    Magnetic Force  sin vB F q  Tesla(T)=N/(C.m/s)=N/(A.m) r – Radius of curvature Fc =
  • 19.
  • 20.
    EX A protonis travelling at 3.4 x 106 ms-1 perpendicular to a magnetic field of 7 x 10-3 T. Determine: a) The force acting on the proton b) The radius of curvature
  • 21.
    EX A protonis travelling at 3.4 x 106 ms-1 perpendicular to a magnetic field of 7 x 10-3 T. Determine: a) The force acting on the proton b) The radius of curvature
  • 22.
    Magnetic Flux- ameasurement of the total magnetic field that passes through a given area; a measure of the number of magnetic field lines passing through the given area (symbol, ; SI 𝜙 unit, Wb)
  • 23.
    Faraday’s Law ‘The inducedEMF in a coil is proportional to the rate of change of magnetic flux.’ EMF – Electromotive Force
  • 24.
    Will cause aninduced current only briefly when switched on or off. ie. Only when a CHANGE in magnetic flux. Not when switch is left in the on position.
  • 25.
    Dec 25, 2025 Voltageis induced when a magnet moves towards or away from a coil, inducing a current in the coil. Faster the magnet’s motion, the greater the induced current.
  • 26.
    A Simple Generator •If the conductor forms part of a circuit, a current will flow. • A coil is rotated inside a magnetic field, causing current to flow.
  • 27.
    Lenz’s Law This justsays that ‘the direction of the Induced Current is such that it opposes the change that causes it’. ‘If you push a wire through a field the induced current makes a force that pushes back’ – Think Friction ‘If a field is pointing one way and a conductor moves through it, then the induced current makes a field that points the opposite way’ The negative in Faraday’s Law represents opposite voltage
  • 28.
    The current thatflows makes it’s own force on the conductor. You can use Right hand rule to predict it too. This force is in the opposite direction to the motion that is creating the current! As a conductor moves through a magnetic field...... Remember this: (Electromagnetic Induction of straight wire) If there wasn’t an opposing Force being made then once you started pushing the Conductor through the field it would carry on inducing current and increase force, hence continue to accelerate forever. This would contradict the Law of Conservation of Energy Force creating the Motion Right Hand Rule (Force due to current)
  • 29.
    If the fieldof the bar magnet is already in the loop and the magnet is removed, the induced current is in the direction that tries to keep the field constant
  • 30.
    2 Direction ofinduced current In both cases, magnet moves against a force. Work is done during the motion & it is transferred as electrical energy. Induced I always flows to oppose the movement which started it. b Lenz's law
  • 31.
    Example 1 Current inducedalong a coil A bar magnet passes through a coil: (a) Indicate the direction of the induced I in each case. Explain briefly. (i) (ii) (iii)
  • 32.
    FALLING MAGNET • Thecopper tube “experiences" a changing magnetic field from the falling magnet. This changing magnetic field induces a current in the copper tube. • The induced current in the copper tube creates its own magnetic field that opposes the magnetic field that created it. Hence slows the magnet. • Determine the poles of the magnet in the tube?
  • 33.
    Transformer • What isa transformer? Primary Coil Secondary Coil
  • 34.
    Primary Coil Secondary Coil A device thatused to change high voltage current into low voltage current and vice-versa.
  • 35.
    Will a transformerwork with DC current? Why Transform Voltage?
  • 36.
    •It is basedon principle of MUTUAL INDUCTION. •(E.M.F. is induced in a coil when current in the neighbouring coil changes.) Principle Of Transformer
  • 38.
    Types of Transformers •Primary coils < Secondary coils Step Up
  • 39.
    Step Down Transformer •Primary Coils > Secondary Coils Step Down
  • 40.
    Transformers Equations Voltage acrossPrimary Voltage across Secondary No of turns on Primary No of turns on Secondary = Vp np VS nS =
  • 41.
    • Input Power= Output Power • Ip Vp = Is Vs
  • 42.
    Worked Example • Avoltage of 240V with 15A is applied to a primary coil of 10 turns. What is the voltage and current across the secondary coil if it has 200 turns?
  • 43.
    Worked Example • Avoltage of 240V with 15A is applied to a primary coil of 10 turns. What is the voltage and current across the secondary coil if it has 200 turns?
  • 44.
    Electromagnetic Radiation •James Maxwell(1831-1879) proposed that a changing electric field could create a changing magnetic field – and this would create a changing electric field – these fields would continue to generate each other.
  • 45.
    In phase changingmagnetic field and electric fields at right angles will propagate a transverse wave through space- an electromagnetic wave. mysite.du.edu
  • 46.
  • 47.
    Cumulative Test MCQ8-10 Revision Sheet 9 (All but optional Q4) Textbook Page 205 Q1-3, 8-9, 11-14, 18 Page 237 Q1-4, 10-14, 17-20, 27-29, 36-37

Editor's Notes

  • #25 Connect large coil to demo galvanometer. Move large magnet near the coil; move coil near large magnet. Pass-around box with coil, bar magnet, and galvanometer.
  • #42 Try questions 7 - 10
  • #43 Try questions 7 - 10