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12-01-2016 SHASHI PRAKASH 1
12-01-2016 SHASHI PRAKASH 2
Certificate
This is to certify that Shashi Prakash,
student of Class XII, Sri Guru Nanak
Public School, has completed the project
titled Transformers under the
guidance of Mr. S.K Upadhayay
(physics teacher)during the academic
year 2015-2016 towards partial
fulfillment of credit for the Physics
practical evaluation of CBSE 2016, and
submitted satisfactory report, as compiled
in the following pages, under my
supervision.
Signature of external examiner
_______________Department of Physics
Sri Guru Nanak Public School
12-01-2016 SHASHI PRAKASH 3
Acknowledgements
"There are times when silence speaks so much more
loudly than words of praise to only as good as belittle a
person, whose words do not express, but only put a
veneer over true feelings, which are of gratitude at this
point of time."
I would like to express my sincere gratitude to my physics
mentor for his vital support, guidance and encouragement,
without which this project would not have come forth. I would
also like to express my gratitude to the staff of the Department
of Physics at Sri Guru Nanak public School for their support
during the making of this project.
12-01-2016 SHASHI PRAKASH 4
INDEX
1. CERTIFICATE OF EXCELLENCE
2. ACKNOWLEDGEMENT
3. INTRODUCTION
4. PRICIPLE
5. CONSTRUCTION
6. THEORY AND WORKING
7. EFFICIENCY
8. ENERGY LOSSES
9. USES OF TRANSFORMERS
10. CONCLUSION
11. PRECAUTIONS
12. SOURCES OF ERROR
13.BIBILIOGRAPHY
12-01-2016 SHASHI PRAKASH 5
INTRODUCTION
The transformer is a device used for converting a low alternating
voltage to a high alternating voltage or a high alternating voltage into
a low alternating voltage. It is a static electrical device that transfers
energy by inductive coupling between its winding circuits. Transformers
range in size from a thumbnail-sized coupling transformer hidden inside
a stage microphone to huge units weighing hundreds of tons used in
power plant substations or to interconnect portions of the power grid.
All operate on the same basic principles, although the range of designs
is wide. While new technologies have eliminated the need for
transformers in some electronic circuits, transformers are still found in
many electronic devices. Transformers are essential for high-voltage
electric power transmission, which makes long-distance transmission
economically practical. A transformer is most widely used device in
both low and high current circuit. In a transformer, the electrical
energy transfer from one circuit to another circuit takes place without
the use of moving parts. A transformer which increases the voltages
is called a step-up transformer. A transformer which decreases the
A.C. voltages is called a step-down transformer.
12-01-2016 SHASHI PRAKASH 6
Transformer is, therefore, an
essential piece of apparatus
both for high and low current
circuits.
Close-up of single-phase pole mount
transformer.
12-01-2016 SHASHI PRAKASH 7
PRINCIPLE
It is based on the principle of mutual
induction that is if a varying current is set-up
in a circuit then induced e.m.f. is produced in
the neighboring circuit. The varying current in
a circuit produce varying magnetic flux which
induces e.m.f. in the neighboring circuit.
12-01-2016 SHASHI PRAKASH 8
CONSTRUCTION
A transformer consists of a rectangular shaft
iron core made of laminated sheets, well
insulated from one another. Two coils p1 & p2 and
s1 & s2 are wound on the same core, but are well
insulated with each other. Note that the both the
coils are insulated from the core, the source of
alternating e.m.f is connected to p1p2, the primary
coil and a load resistance R is connected to s1 s2,
the secondary coil through an open switch S. thus
there can be no current through the sec. coil so
long as the switch is open. For an ideal
transformer, we assume that the resistance of the
primary & secondary winding is negligible.
Further, the energy loses due to magnetic the iron
core is also negligible. For operation at low
frequency, we may have a soft iron. The soft iron
core is insulating by joining thin iron strips coated
with varnish to insulate them to reduce energy
losses by eddy currents. The input circuit is called
primary. And the output circuit is called
secondary.
12-01-2016 SHASHI PRAKASH 9
An ideal voltage step-down
transformer. The secondary current
arises from the action of the secondary
EMF on the (not shown) load
impedance.
The ideal transformer as a circuit element
12-01-2016 SHASHI PRAKASH 10
THEORY AND WORKING
When an altering e.m.f. is supplied to the
primary coil p1p2, an alternating current
starts falling in it. The altering current in the
primary produces a changing magnetic flux,
which induces altering voltage in the primary
as well as in the secondary. In a good-
transformer, whole of the magnetic flux
linked with primary is also linked with the
secondary, and then the induced e.m.f.
induced in each turn of the secondary is
equal to that induced in each turn of the
primary. Thus if Ep and Es be the
instantaneous values of the e.m.f.’s induced
in the primary and the secondary and Np and
Ns are the no. of turns of the primary
secondary coils of the transformer and, Dфь
/ dt = rate of change of flux in each turn of
the coil at this instant, we have
Ep = -Np Dфь/dt
12-01-2016 SHASHI PRAKASH 11
Es = -Ns Dфь/dt (2)
Since the above relations are true at every
instant, so by dividing 2 by 1, we get
Es / Ep = - Ns / Np (3)
As Ep is the instantaneous value of back e.m.f
induced in the primary coil p1, so the
instantaneous current in primary coil is due to
the difference (E – Ep ) in the instantaneous
values of the applied and back e.m.f. further if
Rp is the resistance o, p1p2 coil, then
the instantaneous current Ip in the primary coil
is given by
I =E – Ep / Rp
E – Ep = Ip Rp
12-01-2016 SHASHI PRAKASH 12
And Is =value of sec. current at this instant,
then Input power at the instant t = Ep Ip and Output
power at the same instant = Es Is
If there are no losses of power in the transformer,
then Input power = output power or
Ep Ip = Es Is Or
Es / Ep = Ip / Is = K
In a step up transformer
As k > 1, so Ip > Is or Is < Ip
I.e. current in sec. is weaker when secondary voltage
is higher. Hence, whatever we gain in voltage, we lose
in current in the same ratio. Similarly it can be shown,
that in a step down transformer, whatever we lose in
voltage, we gain in current in the same ratio.Thus a
step up transformer in reality steps down the current &
a step down transformer steps up the current.
12-01-2016 SHASHI PRAKASH 13
BASIC IDEA OF STEP DOWN TRANSFORMER
BASIC IDEA OF STEP UP TRANSFORMER
12-01-2016 SHASHI PRAKASH 14
EFFICIENCY
Efficiency of a transformer is defined as the
ratio of output power to the input power i.e.
η = output power / input power = Es Is / Ep Ip
Thus in an ideal transformer, where there is no
power losses, η = 1. But in actual practice, there
are many power losses; therefore the efficiency
of transformer is less than one.
12-01-2016 SHASHI PRAKASH 15
ENERGY LOSSES
In practice, the output energy of a transformer is always less than the input energy,
because energy losses occur due to a number of reasons as explained below.
1. Loss of Magnetic Flux: The coupling between the coils is seldom perfect. So,
perfect. So, whole of the magnetic flux produced by the primary coil is not linked up with
the secondary coil.
2. Iron Loss: In actual iron cores in spite of lamination,
Eddy currents are produced. The magnitude of eddy current may, however be small.
And a part of energy is lost as the heat produced in the iron core.
3. Copper Loss: In practice, the coils of the transformer possess resistance. So a
resistance. So a part of the energy is lost due to the heat produced in the resistance of
the coil.
4. Hysteresis Loss: The alternating current in the coil tapes the iron core through
through complete cycle of magnetization. So Energy is lost due to hysteresis.
5. Magneto restriction: The alternating current in the
Transformer may be set its parts in to vibrations and sound may be produced. It is
called humming. Thus, a part of energy may be lost due to humming.
12-01-2016 SHASHI PRAKASH 16
USES OF TRANSFORMER
A transformer is used in almost all a.c.
operations
 In voltage regulator for T.V., refrigerator,
computer, air conditioner etc.
 In the induction furnaces.
 A step down transformer is used for welding
purposes.
 A step down transformer is used for
obtaining large current.
 A step up transformer is used for the
production of X-Rays and NEON
advertisement.
 Transformers are used in voltage regulators
and stabilized power supplies.
 Transformers are used in the transmissions
of a.c. over long distances.
 Small transformers are used in Radio sets,
telephones, loud speakers and electric bells
etc.
12-01-2016 SHASHI PRAKASH 17
CONCLUSION
1. The output voltage of the
transformer across the secondary
coil depends upon the ratio (Ns/Np)
with respect to the input voltage
2. The output voltage of the
transformer across the secondary
coil depends upon the ratio (Ns/N p)
with respect to the input voltage
3. There is a loss of power between
input and output coil of a
transformer.
12-01-2016 SHASHI PRAKASH 18
PRECAUTIONS
1. Keep safe yourself from high
voltage.
2. While taking the readings of
current and voltage the A.C
should remain constant.
SOURCES OF ERROR
1. Values of current can be
changed due to heating effect.
2. Eddy current can change the
readings.
12-01-2016 SHASHI PRAKASH 19
A Big Transformer
12-01-2016 SHASHI PRAKASH 20
Bibliography
The data used in this project was
taken from the following sources:
 www.google.com
 www.wikipedia.com
 www.scribd.com
12-01-2016 SHASHI PRAKASH 21
12-01-2016 SHASHI PRAKASH 22

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Physics transformer file

  • 3. Certificate This is to certify that Shashi Prakash, student of Class XII, Sri Guru Nanak Public School, has completed the project titled Transformers under the guidance of Mr. S.K Upadhayay (physics teacher)during the academic year 2015-2016 towards partial fulfillment of credit for the Physics practical evaluation of CBSE 2016, and submitted satisfactory report, as compiled in the following pages, under my supervision. Signature of external examiner _______________Department of Physics Sri Guru Nanak Public School 12-01-2016 SHASHI PRAKASH 3
  • 4. Acknowledgements "There are times when silence speaks so much more loudly than words of praise to only as good as belittle a person, whose words do not express, but only put a veneer over true feelings, which are of gratitude at this point of time." I would like to express my sincere gratitude to my physics mentor for his vital support, guidance and encouragement, without which this project would not have come forth. I would also like to express my gratitude to the staff of the Department of Physics at Sri Guru Nanak public School for their support during the making of this project. 12-01-2016 SHASHI PRAKASH 4
  • 5. INDEX 1. CERTIFICATE OF EXCELLENCE 2. ACKNOWLEDGEMENT 3. INTRODUCTION 4. PRICIPLE 5. CONSTRUCTION 6. THEORY AND WORKING 7. EFFICIENCY 8. ENERGY LOSSES 9. USES OF TRANSFORMERS 10. CONCLUSION 11. PRECAUTIONS 12. SOURCES OF ERROR 13.BIBILIOGRAPHY 12-01-2016 SHASHI PRAKASH 5
  • 6. INTRODUCTION The transformer is a device used for converting a low alternating voltage to a high alternating voltage or a high alternating voltage into a low alternating voltage. It is a static electrical device that transfers energy by inductive coupling between its winding circuits. Transformers range in size from a thumbnail-sized coupling transformer hidden inside a stage microphone to huge units weighing hundreds of tons used in power plant substations or to interconnect portions of the power grid. All operate on the same basic principles, although the range of designs is wide. While new technologies have eliminated the need for transformers in some electronic circuits, transformers are still found in many electronic devices. Transformers are essential for high-voltage electric power transmission, which makes long-distance transmission economically practical. A transformer is most widely used device in both low and high current circuit. In a transformer, the electrical energy transfer from one circuit to another circuit takes place without the use of moving parts. A transformer which increases the voltages is called a step-up transformer. A transformer which decreases the A.C. voltages is called a step-down transformer. 12-01-2016 SHASHI PRAKASH 6
  • 7. Transformer is, therefore, an essential piece of apparatus both for high and low current circuits. Close-up of single-phase pole mount transformer. 12-01-2016 SHASHI PRAKASH 7
  • 8. PRINCIPLE It is based on the principle of mutual induction that is if a varying current is set-up in a circuit then induced e.m.f. is produced in the neighboring circuit. The varying current in a circuit produce varying magnetic flux which induces e.m.f. in the neighboring circuit. 12-01-2016 SHASHI PRAKASH 8
  • 9. CONSTRUCTION A transformer consists of a rectangular shaft iron core made of laminated sheets, well insulated from one another. Two coils p1 & p2 and s1 & s2 are wound on the same core, but are well insulated with each other. Note that the both the coils are insulated from the core, the source of alternating e.m.f is connected to p1p2, the primary coil and a load resistance R is connected to s1 s2, the secondary coil through an open switch S. thus there can be no current through the sec. coil so long as the switch is open. For an ideal transformer, we assume that the resistance of the primary & secondary winding is negligible. Further, the energy loses due to magnetic the iron core is also negligible. For operation at low frequency, we may have a soft iron. The soft iron core is insulating by joining thin iron strips coated with varnish to insulate them to reduce energy losses by eddy currents. The input circuit is called primary. And the output circuit is called secondary. 12-01-2016 SHASHI PRAKASH 9
  • 10. An ideal voltage step-down transformer. The secondary current arises from the action of the secondary EMF on the (not shown) load impedance. The ideal transformer as a circuit element 12-01-2016 SHASHI PRAKASH 10
  • 11. THEORY AND WORKING When an altering e.m.f. is supplied to the primary coil p1p2, an alternating current starts falling in it. The altering current in the primary produces a changing magnetic flux, which induces altering voltage in the primary as well as in the secondary. In a good- transformer, whole of the magnetic flux linked with primary is also linked with the secondary, and then the induced e.m.f. induced in each turn of the secondary is equal to that induced in each turn of the primary. Thus if Ep and Es be the instantaneous values of the e.m.f.’s induced in the primary and the secondary and Np and Ns are the no. of turns of the primary secondary coils of the transformer and, Dфь / dt = rate of change of flux in each turn of the coil at this instant, we have Ep = -Np Dфь/dt 12-01-2016 SHASHI PRAKASH 11
  • 12. Es = -Ns Dфь/dt (2) Since the above relations are true at every instant, so by dividing 2 by 1, we get Es / Ep = - Ns / Np (3) As Ep is the instantaneous value of back e.m.f induced in the primary coil p1, so the instantaneous current in primary coil is due to the difference (E – Ep ) in the instantaneous values of the applied and back e.m.f. further if Rp is the resistance o, p1p2 coil, then the instantaneous current Ip in the primary coil is given by I =E – Ep / Rp E – Ep = Ip Rp 12-01-2016 SHASHI PRAKASH 12
  • 13. And Is =value of sec. current at this instant, then Input power at the instant t = Ep Ip and Output power at the same instant = Es Is If there are no losses of power in the transformer, then Input power = output power or Ep Ip = Es Is Or Es / Ep = Ip / Is = K In a step up transformer As k > 1, so Ip > Is or Is < Ip I.e. current in sec. is weaker when secondary voltage is higher. Hence, whatever we gain in voltage, we lose in current in the same ratio. Similarly it can be shown, that in a step down transformer, whatever we lose in voltage, we gain in current in the same ratio.Thus a step up transformer in reality steps down the current & a step down transformer steps up the current. 12-01-2016 SHASHI PRAKASH 13
  • 14. BASIC IDEA OF STEP DOWN TRANSFORMER BASIC IDEA OF STEP UP TRANSFORMER 12-01-2016 SHASHI PRAKASH 14
  • 15. EFFICIENCY Efficiency of a transformer is defined as the ratio of output power to the input power i.e. η = output power / input power = Es Is / Ep Ip Thus in an ideal transformer, where there is no power losses, η = 1. But in actual practice, there are many power losses; therefore the efficiency of transformer is less than one. 12-01-2016 SHASHI PRAKASH 15
  • 16. ENERGY LOSSES In practice, the output energy of a transformer is always less than the input energy, because energy losses occur due to a number of reasons as explained below. 1. Loss of Magnetic Flux: The coupling between the coils is seldom perfect. So, perfect. So, whole of the magnetic flux produced by the primary coil is not linked up with the secondary coil. 2. Iron Loss: In actual iron cores in spite of lamination, Eddy currents are produced. The magnitude of eddy current may, however be small. And a part of energy is lost as the heat produced in the iron core. 3. Copper Loss: In practice, the coils of the transformer possess resistance. So a resistance. So a part of the energy is lost due to the heat produced in the resistance of the coil. 4. Hysteresis Loss: The alternating current in the coil tapes the iron core through through complete cycle of magnetization. So Energy is lost due to hysteresis. 5. Magneto restriction: The alternating current in the Transformer may be set its parts in to vibrations and sound may be produced. It is called humming. Thus, a part of energy may be lost due to humming. 12-01-2016 SHASHI PRAKASH 16
  • 17. USES OF TRANSFORMER A transformer is used in almost all a.c. operations  In voltage regulator for T.V., refrigerator, computer, air conditioner etc.  In the induction furnaces.  A step down transformer is used for welding purposes.  A step down transformer is used for obtaining large current.  A step up transformer is used for the production of X-Rays and NEON advertisement.  Transformers are used in voltage regulators and stabilized power supplies.  Transformers are used in the transmissions of a.c. over long distances.  Small transformers are used in Radio sets, telephones, loud speakers and electric bells etc. 12-01-2016 SHASHI PRAKASH 17
  • 18. CONCLUSION 1. The output voltage of the transformer across the secondary coil depends upon the ratio (Ns/Np) with respect to the input voltage 2. The output voltage of the transformer across the secondary coil depends upon the ratio (Ns/N p) with respect to the input voltage 3. There is a loss of power between input and output coil of a transformer. 12-01-2016 SHASHI PRAKASH 18
  • 19. PRECAUTIONS 1. Keep safe yourself from high voltage. 2. While taking the readings of current and voltage the A.C should remain constant. SOURCES OF ERROR 1. Values of current can be changed due to heating effect. 2. Eddy current can change the readings. 12-01-2016 SHASHI PRAKASH 19
  • 20. A Big Transformer 12-01-2016 SHASHI PRAKASH 20
  • 21. Bibliography The data used in this project was taken from the following sources:  www.google.com  www.wikipedia.com  www.scribd.com 12-01-2016 SHASHI PRAKASH 21