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  A transformer is
made of an iron core
with two coils wound
     on it. One is
   connected to a
 source of electrical
 power and is called
the 'primary coil'; the       There is no electrical connection
  other supplies the      between the two coils. However they are
                            connected by the magnetic field in the
 power to a load and      iron core.  The current in the primary coil
     is called the         produces a magnetic field that is carried
  'secondary coil'.        by the iron core into the secondary coil.
Voltage in secondary
   When the voltage and current in the primary
    coil is sinusoidally varying (like a cosine
    function, for example), it sets up an alternating
    field. Effectively, the flux through the
    secondary coil changes, inducing an emf
    (voltage) and current in it

                             ∆B
                V2 = − N 2 A
                             ∆t
Voltage in primary
   The flux through the
    primary coil also
    changes. The rate of
    change in flux                   ∆B
                         V1 = − N1 A
    through both coils are
    the same as the coils
    essentially share the            ∆t
    same magnetic field.
   Eliminating the time rate of change in field, one
    arrives at


     V1 V2                        V1 N1
       =                            =
     N1 N 2                       V2 N 2
To summarize,
If the secondary coil
                         If the secondary coil has less number of turns, we
                    
                                  have a STEP-DOWN transformer

has greater number of
    turns, we have a
STEP-UP transformer

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Transformer

  • 1.  A transformer is made of an iron core with two coils wound on it. One is connected to a source of electrical power and is called the 'primary coil'; the  There is no electrical connection other supplies the between the two coils. However they are connected by the magnetic field in the power to a load and iron core.  The current in the primary coil is called the produces a magnetic field that is carried 'secondary coil'. by the iron core into the secondary coil.
  • 2. Voltage in secondary  When the voltage and current in the primary coil is sinusoidally varying (like a cosine function, for example), it sets up an alternating field. Effectively, the flux through the secondary coil changes, inducing an emf (voltage) and current in it ∆B V2 = − N 2 A ∆t
  • 3. Voltage in primary  The flux through the primary coil also changes. The rate of change in flux ∆B V1 = − N1 A through both coils are the same as the coils essentially share the ∆t same magnetic field.
  • 4. Eliminating the time rate of change in field, one arrives at V1 V2 V1 N1 = = N1 N 2 V2 N 2
  • 6. If the secondary coil If the secondary coil has less number of turns, we   have a STEP-DOWN transformer has greater number of turns, we have a STEP-UP transformer