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9/22/2015
transformer | suyash sunil jagtap xii
2015-16
JAWAHAR
NAVODAYA
VIDYALAYA,PUNE
PHYSICS INVESTRIGATORY PROJECT
INDEX
1.CERTIFICATE OF EXCELLENCE
2. ACKNOWLEDGEMENT
3. AIM OF PROJECT
4. INTRODUCTION
5. THEORY
6. APPARATUS REQUIRED
7. PROCEDURE FOLLOWED
8. OBSERVATION
9. CONCLUSION
10. PRECAUTION
11. BIBLIOGRAPHY
INTRODUCTION
The transformer is a device used for converting a low
alternating voltage to a high alternating voltage or vice-versa.
A Transformer based on the Principle of mutual induction according
to this principle, the amount of magnetic flux linked with a coil
changing, an e.m.f is induced in the neighboring coil.
A transformer is an electrical device which is used for
changing the A.C. voltages. A transformer is most widely used device
in both low and high current circuit. As such transformers are built
in an amazing strength of sizes. In electronic, measurement and
control circuits, transformer size may be so small that it weight only
a few tens of grams where as in high voltage power circuits, it may
weight hundred of tones.
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.
Transformer is, therefore, an essential piece of
apparatus both for high and low current circuits.
OBJECTIVE
To investigate the relation between the ratio of –
1. Input and output voltage.
2. Number of turnings in the secondary coil and primary coil of
a self made transformer.
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
dф / dt = rate of change of flux in each turnoff
the coil at this instant, we have
Ep = -Np dф/dt _______________ (1) and
Es = -Ns dф/dt _______________ (2)
Since the above relations are true at every instant, so by dividing2 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
Ip = E – Ep / Rp
E – Ep = Ip Rp
When the resistance of the primary is small, Rp Ip can be
neglected so therefore
E – Ep = 0 or Ep = E
Thus back e.m.f = input e.m.f
Hence equation 3 can be written as
Es / Ep = Es / E = output e.m.f / input e.m.f = Ns / Np = K
Where K is constant, called turn or transformation ratio.
IN A STEP-DOWNTRANSFORMER
Es < E so K < 1, hence Ns < Np
If Ip = value of primary current at the same instant
And Is = value of secondary current at this instant, then
Input power at the instant = 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
Es > E so K > 1, hence Ns > Np
As, k > 1, so Ip > Is or Is < Ip
i.e. current in secondary 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.
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.
ENERGY LOSSES
Following are the major sources of energy loss in a transformer:
1. Copper loss is the energy loss in the form of heat in the copper
coils of a transformer. This is due to joule heating of conducting
wires.
2. Iron loss is the energy loss in the form of heat in the iron core of
the transformer. This is due to formation of eddy currents in iron
core. It is minimized by taking laminated cores.
3. Leakage of magnetic flux occurs inspite of best insulations.
Therefore, rate of change of magnetic flux linked with each turn of
S1S2 is less than the rate of change of magnetic flux linked with each
turn of P1P2.
4. Hysteresis loss is the loss of energy due to repeated
magnetization and demagnetization of the iron core when A.C. is fed
to it.
5. Magnetostriation i.e. humming noise of a transformer.
APPARATUS REQUIRED
IRONROD
COPPERWIRE
VOLTMETER AMMETER
CIRCUIT DIAGRAM
PROCEDURE
1. Take thick iron rod and cover it with a thick paper and wind a
large number of turns of thin Cu wire on thick paper (say 60).
This constitutes primary coil of the transformer.
2. Cover the primary coilwith a sheet of paper and wound
relativelysmaller number of turns (say 20) of thick copper wire
on it. This constitutes the secondary coil. It is a step down
transformer.
3. Connect p1, p2 to A.C main and measure the input voltage
and current using A.C voltmeter and ammeter respectively.
4. Similarly, measure the output voltage and current through
s1and s2.
5. Now connect s1and s2to A.C main and again measure
voltage and current through primary and secondary coil of step
up transformer.
6. Repeat all steps for other self made transformers by
changing number of turns in primary and secondary coil.
USES OF TRANSFORMER
A transformer is used in almost all a.c. operations-
In voltage regulator for T.V., refrigerator, computer,
air conditioner, etc.
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
SOURCES OF ERROR
1. Values of current can be changed due to heating
effect.
2. Eddy current can change the readings.
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.
___________________________________________________________
_____________
___________________________________________________________
_____________
PRECAUTIONS
1.Keep safe yourself from high voltage.
2. While taking the readings of current and voltage the A.C
should remain constant.
BIBLIOGRAPHY
HELP FROM
INTERNET
INFORMATION
FROM LIBRARY
HELP FROM
TEACHERS
3. NCERT textbook class 12
4. NCERT physics lab Manuel
5. INTERNET
6. www.yahoo.com
7. www.scribd.com
8. www.google.com
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physics investrigatory project

  • 1. 9/22/2015 transformer | suyash sunil jagtap xii 2015-16 JAWAHAR NAVODAYA VIDYALAYA,PUNE PHYSICS INVESTRIGATORY PROJECT
  • 2.
  • 3. INDEX 1.CERTIFICATE OF EXCELLENCE 2. ACKNOWLEDGEMENT 3. AIM OF PROJECT 4. INTRODUCTION 5. THEORY 6. APPARATUS REQUIRED 7. PROCEDURE FOLLOWED 8. OBSERVATION 9. CONCLUSION 10. PRECAUTION 11. BIBLIOGRAPHY
  • 4. INTRODUCTION The transformer is a device used for converting a low alternating voltage to a high alternating voltage or vice-versa. A Transformer based on the Principle of mutual induction according to this principle, the amount of magnetic flux linked with a coil changing, an e.m.f is induced in the neighboring coil. A transformer is an electrical device which is used for changing the A.C. voltages. A transformer is most widely used device in both low and high current circuit. As such transformers are built in an amazing strength of sizes. In electronic, measurement and control circuits, transformer size may be so small that it weight only a few tens of grams where as in high voltage power circuits, it may weight hundred of tones. 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. Transformer is, therefore, an essential piece of apparatus both for high and low current circuits. OBJECTIVE To investigate the relation between the ratio of – 1. Input and output voltage. 2. Number of turnings in the secondary coil and primary coil of a self made transformer.
  • 5. 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 dф / dt = rate of change of flux in each turnoff the coil at this instant, we have Ep = -Np dф/dt _______________ (1) and Es = -Ns dф/dt _______________ (2) Since the above relations are true at every instant, so by dividing2 by 1, we get Es / Ep = - Ns / Np ______________ (3)
  • 6. 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 Ip = E – Ep / Rp E – Ep = Ip Rp When the resistance of the primary is small, Rp Ip can be neglected so therefore E – Ep = 0 or Ep = E Thus back e.m.f = input e.m.f Hence equation 3 can be written as Es / Ep = Es / E = output e.m.f / input e.m.f = Ns / Np = K Where K is constant, called turn or transformation ratio.
  • 7. IN A STEP-DOWNTRANSFORMER Es < E so K < 1, hence Ns < Np If Ip = value of primary current at the same instant And Is = value of secondary current at this instant, then Input power at the instant = 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
  • 8. IN A STEP-UP TRANSFORMER Es > E so K > 1, hence Ns > Np As, k > 1, so Ip > Is or Is < Ip i.e. current in secondary 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.
  • 9. 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. ENERGY LOSSES Following are the major sources of energy loss in a transformer: 1. Copper loss is the energy loss in the form of heat in the copper coils of a transformer. This is due to joule heating of conducting wires. 2. Iron loss is the energy loss in the form of heat in the iron core of the transformer. This is due to formation of eddy currents in iron
  • 10. core. It is minimized by taking laminated cores.
  • 11. 3. Leakage of magnetic flux occurs inspite of best insulations. Therefore, rate of change of magnetic flux linked with each turn of S1S2 is less than the rate of change of magnetic flux linked with each turn of P1P2. 4. Hysteresis loss is the loss of energy due to repeated magnetization and demagnetization of the iron core when A.C. is fed to it. 5. Magnetostriation i.e. humming noise of a transformer. APPARATUS REQUIRED IRONROD COPPERWIRE
  • 13. CIRCUIT DIAGRAM PROCEDURE 1. Take thick iron rod and cover it with a thick paper and wind a large number of turns of thin Cu wire on thick paper (say 60). This constitutes primary coil of the transformer.
  • 14. 2. Cover the primary coilwith a sheet of paper and wound relativelysmaller number of turns (say 20) of thick copper wire on it. This constitutes the secondary coil. It is a step down transformer. 3. Connect p1, p2 to A.C main and measure the input voltage and current using A.C voltmeter and ammeter respectively. 4. Similarly, measure the output voltage and current through s1and s2. 5. Now connect s1and s2to A.C main and again measure voltage and current through primary and secondary coil of step up transformer. 6. Repeat all steps for other self made transformers by changing number of turns in primary and secondary coil. USES OF TRANSFORMER A transformer is used in almost all a.c. operations- In voltage regulator for T.V., refrigerator, computer, air conditioner, etc. 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
  • 15. SOURCES OF ERROR 1. Values of current can be changed due to heating effect. 2. Eddy current can change the readings. 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. ___________________________________________________________ _____________ ___________________________________________________________ _____________ PRECAUTIONS
  • 16. 1.Keep safe yourself from high voltage. 2. While taking the readings of current and voltage the A.C should remain constant.
  • 17. BIBLIOGRAPHY HELP FROM INTERNET INFORMATION FROM LIBRARY HELP FROM TEACHERS 3. NCERT textbook class 12 4. NCERT physics lab Manuel 5. INTERNET 6. www.yahoo.com 7. www.scribd.com 8. www.google.com