Physics Project on "Transformers"

Acknowledgement

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"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 my friends for their support during the making of this project.

Introduction

They are so important in

our lives that without them

even the electric bells fitted

in our homes won’t work.

T

ransformer 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

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.

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.

CONTRUCTION

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

with each other. Note that the both the coils are insulated from the core, the source of alternating e.m.f is connected to p1 p2, the primary coil and a

load resistance R is connected to s1 s2, the

secondary coil through an open switch S. Thus, no current can be drawn through the secondary coil as long as the switch is open.

For an ideal

transformer, we assume that the resistance of the primary & secondary windings is negligible.

Further, the energy loses due to magnetic flux and iron core is also negligible. For operation at low frequency, we may use 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.

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

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 induced e.m.f in the primary and the secondary coil and Np and Ns are

the no. of turns of the primary secondary coils of the transformer and, dфB/dt = rate of change of

flux in each turn of the coil at this instant, we have Ep = -Np dфB/dt …. (1)

Es = -Ns dфB/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 of p1 p2

coil, then the instantaneous current Ip in the

primary coil is given by,

I =E – Ep / R

p

E – E

p

= I

p

R

p

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 up transformer

In a step down transformer

Es < E so K < 1, hence Ns < Np

If Ip=value of primary current at the same instant t

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 t = 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.

Efficiency

Efficiency of a transformer is defined as the ratio of output power to the input power i.e.

Thus in an ideal transformer, where there are 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

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, 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 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 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.

USES OF TRANSFORMER

 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,

Bibliography

The data used in this project was taken from the following sources:

 www.google.com  www.wikipedia.com  www.scribd.com