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A PowerPoint Presentation by 
Akram Habib 
© 2014AH
Electromagnetic Induction 
Electromagnetic Induction is the process of 
using magnetic fields to produce voltage, 
and in a complete circuit, a current. 
Michael Faraday first discovered it, using 
some of the works of Hans Christian 
Oersted. His work started at first using 
different combinations of wires and 
magnetic strengths and currents, but it 
wasn't until he tried moving the wires that 
he got any success
Electromagnetic Induction 
Almost 200 years ago, Faraday looked for 
evidence that a magnetic field would induce 
an electric current with this apparatus
He found no evidence when the magnet was 
steady, but did see a current induced when 
the magnet moves up and down .
Electromagnetic Induction 
Faraday’s Law
Electromagnetic Induction 
Faraday learned that if you change any part of the flux over time 
you could induce a current in a conductor and thus create a 
source of EMF (voltage, potential difference). Since we are 
dealing with time here were a talking about the rate of change 
of FLUX, which is called Faraday’s Law. 
 
 
 
N B # turns of wire 
( cos ) 
 
 
 
  
 
  
N 
t 
BA 
N 
t
Electromagnetic Induction 
Faraday’s Law 
d  
t 
( ) 
dt 
t 
 ( ) 
  
In order to understand Faraday’s law we 
need to understand the concept of 
magnetic flux. 
m  
r 
B  d 
r 
 A
Electromagnetic Induction 
Magnetic Flux: 
Magnetic flux is the quantity of magnetic field that penetrates an 
area at right angles to it. 
Flux is a general term 
associated with a FIELD that 
is bound by a certain AREA. 
So MAGNETIC FLUX is any 
AREA that has a 
MAGNETIC FIELD passing 
through it. 
A 
B 
We generally define an AREA vector as one that is perpendicular 
to the surface of the material. Therefore, you can see in the figure 
that the AREA vector and the Magnetic Field vector are 
PARALLEL. This then produces a DOT PRODUCT between the 
2 variables that then define flux.
Electromagnetic Induction 
Lenz’s Law 
The direction of the emf and thus the current is given 
by Lenz’s law. The statement in bold in the center of 
page 789 is a statement of Lenz’s law. Use this to find 
the direction of the current. If you are looking down on 
the loop from above, is the current flowing clockwise or 
counter clockwise?
Electromagnetic Induction 
Lenz’s Law 
The magnetic is moving away 
from the coil so the magnetic 
field is decreasing, thus the 
current is in a direction to off-set 
the decrease. 
The magnetic is moving 
toward the coil so the magnetic 
field is increasing, thus the 
current is in a direction to off-set 
the increase.
Electromagnetic Induction 
Problem 
A circular wire loop with a radius of 20 cm. is in 
a constant magnetic field of 0.5 T . 
What is the flux through 
the loop if the normal to 
the loop makes an angle 
of 300 with the magnetic 
field? 
0 
normal 
300 
    
t B dA B d A B dA m 
  
( ) | | cos | | cos30 
        
0 2 0 2 
B r T m 
cos30  0.5 cos30  
(0.2 ) 
  
Electromagnetic Induction 
In summary 
Faraday’s Law is basically used to find the 
MAGNITUDE of the induced EMF. The magnitude of 
the current can then be found using Ohm’s Law 
provided we know the conductor’s resistance. 
Lenz’s Law is part of Faraday’s Law and can help you 
determine the direction of the current provided you 
know HOW the flux is changing
Electromagnetic Induction 
Useful Applications 
AC Generators use Faraday’s 
law to produce rotation 
and thus convert electrical 
and magnetic energy into 
rotational kinetic energy. 
This idea can be used to 
run all kinds of motors. 
Since the current in the 
coil is AC, it is turning on 
and off thus creating a 
CHANGING magnetic field 
of its own. Its own 
magnetic field interferes 
with the shown magnetic 
field to produce rotation.
Electromagnetic Induction 
Transformers work only if the current is 
changing; this is one reason why electricity is 
transmitted as AC.
Electromagnetic Induction 
An Induction Stove 
The water in the metal pot is boiling. Yet, the water 
in the glass pot is not boiling, and the stove top is 
cool to the touch. The stove operates in this way 
by using electromagnetic induction.
Electromagnetic Induction 
How is a credit card reader related to 
magnetism? 
Magnetic data storage encodes information in a pattern of 
alternating magnetic fields. When these fields move past a 
small pick-up coil, the changing magnetic field creates an 
induced current in the coil. This current is amplified into a 
sequence of voltage pulses that represent the 0s and 1s of 
digital data.

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Electromagnetic induction

  • 1. A PowerPoint Presentation by Akram Habib © 2014AH
  • 2. Electromagnetic Induction Electromagnetic Induction is the process of using magnetic fields to produce voltage, and in a complete circuit, a current. Michael Faraday first discovered it, using some of the works of Hans Christian Oersted. His work started at first using different combinations of wires and magnetic strengths and currents, but it wasn't until he tried moving the wires that he got any success
  • 3. Electromagnetic Induction Almost 200 years ago, Faraday looked for evidence that a magnetic field would induce an electric current with this apparatus
  • 4. He found no evidence when the magnet was steady, but did see a current induced when the magnet moves up and down .
  • 6. Electromagnetic Induction Faraday learned that if you change any part of the flux over time you could induce a current in a conductor and thus create a source of EMF (voltage, potential difference). Since we are dealing with time here were a talking about the rate of change of FLUX, which is called Faraday’s Law.    N B # turns of wire ( cos )         N t BA N t
  • 7. Electromagnetic Induction Faraday’s Law d  t ( ) dt t  ( )   In order to understand Faraday’s law we need to understand the concept of magnetic flux. m  r B  d r  A
  • 8. Electromagnetic Induction Magnetic Flux: Magnetic flux is the quantity of magnetic field that penetrates an area at right angles to it. Flux is a general term associated with a FIELD that is bound by a certain AREA. So MAGNETIC FLUX is any AREA that has a MAGNETIC FIELD passing through it. A B We generally define an AREA vector as one that is perpendicular to the surface of the material. Therefore, you can see in the figure that the AREA vector and the Magnetic Field vector are PARALLEL. This then produces a DOT PRODUCT between the 2 variables that then define flux.
  • 9. Electromagnetic Induction Lenz’s Law The direction of the emf and thus the current is given by Lenz’s law. The statement in bold in the center of page 789 is a statement of Lenz’s law. Use this to find the direction of the current. If you are looking down on the loop from above, is the current flowing clockwise or counter clockwise?
  • 10. Electromagnetic Induction Lenz’s Law The magnetic is moving away from the coil so the magnetic field is decreasing, thus the current is in a direction to off-set the decrease. The magnetic is moving toward the coil so the magnetic field is increasing, thus the current is in a direction to off-set the increase.
  • 11. Electromagnetic Induction Problem A circular wire loop with a radius of 20 cm. is in a constant magnetic field of 0.5 T . What is the flux through the loop if the normal to the loop makes an angle of 300 with the magnetic field? 0 normal 300     t B dA B d A B dA m   ( ) | | cos | | cos30         0 2 0 2 B r T m cos30  0.5 cos30  (0.2 )   
  • 12. Electromagnetic Induction In summary Faraday’s Law is basically used to find the MAGNITUDE of the induced EMF. The magnitude of the current can then be found using Ohm’s Law provided we know the conductor’s resistance. Lenz’s Law is part of Faraday’s Law and can help you determine the direction of the current provided you know HOW the flux is changing
  • 13. Electromagnetic Induction Useful Applications AC Generators use Faraday’s law to produce rotation and thus convert electrical and magnetic energy into rotational kinetic energy. This idea can be used to run all kinds of motors. Since the current in the coil is AC, it is turning on and off thus creating a CHANGING magnetic field of its own. Its own magnetic field interferes with the shown magnetic field to produce rotation.
  • 14. Electromagnetic Induction Transformers work only if the current is changing; this is one reason why electricity is transmitted as AC.
  • 15. Electromagnetic Induction An Induction Stove The water in the metal pot is boiling. Yet, the water in the glass pot is not boiling, and the stove top is cool to the touch. The stove operates in this way by using electromagnetic induction.
  • 16. Electromagnetic Induction How is a credit card reader related to magnetism? Magnetic data storage encodes information in a pattern of alternating magnetic fields. When these fields move past a small pick-up coil, the changing magnetic field creates an induced current in the coil. This current is amplified into a sequence of voltage pulses that represent the 0s and 1s of digital data.