Showing posts with label Physics. Show all posts
Showing posts with label Physics. Show all posts

Transformer

 It is a device used to change the voltage of alternating current. A transformer, which increase the voltage is called Step Up transformer, will other transformer which decrease the voltage is called step down Transformer.
Principle
 It is based upon is mutual induction i.e when current is one coil change, an EMF induced in neighbouring coil.
construction
It consists of a laminates soft iron core C. Two points P1 P2 and S1 S2 of insulated copper wire are wound on it but they are well insulated from each. the coil P1 P2 is connected to the source of alternating current. It is called primary coil other coil S1 S2 is called secondary coil. current is drawn from it. If Np and Ns be the number of turns in primary coil and secondary coil, then for Step Up transformer Ns>Np and for  step down Transformer. Ns<Np

 Theory and working
 when the primary coil is connected to the source of alternating current, magnetic flux linked with a primary coil Core and secondary coil change so EMF induced in both coil.
 If is the rate of change of magnetic flux linked with each turn of the primary coil, then
 Induced EMF is  primary coil Ep= -Np dø/dt
 If the resistance of a primary coil is small, then this induced EMF must be equal to the applied EMF.
 If there is no lenkage of magnetic flux, then the rate of change of magnetic flux through each turn of secondary coil =dø/dt
Induced EMF in secondary coil Es=-Nsdø/dt
 For open circuit,  this induced EMF is equal to the output EMF
Divide equation 2 and 1
Es/Ep=Ns/Np=K (Transformer ratio)
For step Up Transformer K>1 and 4 step down Transformer K <1. if Ip and Is are the current in primary and secondary coil and there is no loss of energy then
 output Power is equal to input power.
Or Es/Ep=Ip/Is___3
Thus when voltage is in secondary coil increase, the strength of a current decrease in the same ratio and vice versa.
Loss of energy 
In practice, the output power is less than input power due to a flowing loss of energy.
copper loss:-The copper wire of primary coil and secondary coil has same resistance so some electric energy change into heat energ [P=I²R]. which is a loss of energy.
 it can be reduced by using a thick copper wire.
2:- Eddy current:- As the magnetic flux linked with and iron core changes the eddy current are set up in it, which changed into heat. Which is a loss of energy.
It can be reduced by using a laminated iron core.
3:- when alternating current flow in the coil and the iron core is magnetized in one direction and demagnetize. it again magnetise in opposite direction and demagnetises. In this process of magnetization and demagnetization, some energy is wasted. it can be reduced by using a soft iron core.
4. leakage of magnetic flux:- The whole magnetic flux starting from primary coil does not pass through secondary coil. but some magnetic flux leak out into air. it can be reduced by winding both coil on same core on our other.
 5. humming loss:- Due to alternating current the core vibrates and produce humming noise. thus some electrical energy is wasted in the form of a humming noise.

 Uses of transformers
1. A step down Transformer is used for obtaining large current electric welding.
2. A step down Transformer is used to induction furnace for melting the metal.
3. A step up Transformer is used for the production of X rays.
4. Transformers are used in voltage regulator and stabilize power supply.
5. Small Transformer are used in radio sets, telephones, loudspeakers, sodium vapour lamps etc.
 6. They are used in transmission of electric energy from generating station to consumers.
Use of Transformer for long distance transmission of electric power
The electric power is transmitted at high voltage from generating station to consumers. In doing so, the loss of energy is small.
let we want to transmit 22,000 watt.
(i) If it is transmitted at 220 volt.
I=P/V 
22000/220=100A
 if R is the resistance of cable then heat produce.
I²RT
Fall of potential V=IR =100R
Thus at low voltage transmission
1:- A large amount of heat is produced, which loss of energy.
2:- large fall of potential takes place. so voltage at receiving station is much smaller than generating station.
3:- The cables must be thick to carry strong current. so the cables will be e expensive and strong poles are required to support thick cable.
4:- if the electric power is transmitted at 11000 volt, then I=22000/11000=2A, which is very smaller.
The above all problem are solved because heat produced and fall of potential are very small. and thin cables are can be used. Hence the electric power at transmitting station is stepped up to High Voltage. it is done by step up Transformer. now it is the transmitted. At receiving station it is stepped down by using step down Transformer. now it is distributed to consumer.
Advantage of AC over DC
1:- The generation of AC is more economical than DC.
2:- The voltage of alternating current can be easily change by using Transformer. while other voltage of DC cannot be changed by Transformer.
3:- Alternating current can be controlled by Choke coil with a very small loss of energy. while DC cannot be controlled by choke coil. it can be controlled only by resistance with a high loss of energy.
4:- AC can be transmitted at high voltage from generation station to any other place.In this process cost of transmission is low and loss of energy is also reduce. As the voltage of DC cannot be changed by Transformer.So it transmission is costly and loss of energy is heavy.
5:- AC can be converted into DC easily by using rectifier.
6:- AC equipment such as electric more are more durable and convenient as compared to DC equipments.
Disadvantage of AC or DC
1:- The peak value of AC is high. so it is more dangerous than DC of same voltage.
2:-The shock of AC is attractive, while that DC is repulsive.
3:- In phenomena like electrolysis, electroplating etc.  AC cannot be used.
4:- AC is transmitted more from the surface of conductor than inside it is called Skin effect. therefore the serverl fine wires are used to transmit high current instead of a single thick wire.

Photoelectric effect

 It is the phenomena of emission of electron from a metal surface when the radiation of suitable frequency fall on them. The emitted electron are called Photo electron . And the current so produced is called Photoelectric effect.
For example:- alkali metal EMIT the photoelectron when visible light fall on them. while other metal like zinc, emit Photon electrons, when ultraviolet radiation fall on them.

Work function:- It is minimum amount of energy required by an  electron to just escape from the metal surface.
Its value depend upon 1. nature of metal  2. condition of its surface generally is measured in electron volt.

Laws of Photoelectric effect

1:- For a given metal &  frequency of incident radiation, the number of photoelectrons emitted per second is directly proportional to the intensity of incident radiation.
2:- For a given metal, if the frequency of incident radiation is less than a particular frequency then no photoelectrons emitted this frequency is called Threshold frequency. for a given metal, its value is constant but for different metal its value is different.
3:- Above the threshold frequency. Then maximum kinetic energy of emitted photoelectrons depend upon frequency of incident radiation it does not depend upon their intensity.
4:- It is an instantaneous process. the time lag between incidence of radiation and emission of photoelectron is very small and less than 10 raise to power -9.

Einstein equation of Photoelectric effect

 when a photon of energy fall on a metal surface, its energy is absorbed by free electron of the metal surface one part of this energy is used in liberting the electron from metal surface which is equal to the work function of the metal and remaining part of the energy appear in the form of kinetic energy of photoelectrons. thus
 energy of photon = work function + kinetic energy of photoelectron.
Where m and v be the  mass and velocity of the photo electron.
 Now we consider a photon of frequency v*. Where v* = threshold frequency. this photon can only eject the photoelectron.
                  hv-hv*=1/2mv2
       or h(v-v*)=1/2mv2

Explanation of laws of photoelectric emission 
1:- When a photon fall on a metal surface, energy is absorbed by the free electron of metal surface. one part of this energy is used in librating the electron from the metal surface and remaining part appear in the form of kinetic energy of photoelectron. Thus as the number of a photon or intensity of incident radiation increases, the number of a photoelectron emitted per second also increase.
2:- If v<v* then kinetic energy of photoelectron become negative. which is not possible no photo electron is emitted. In this way if the frequency of incident radiation is less than threshold frequency. then no photoelectrons emitted.
3:- As h is  constant. for a given metal v* is constant. So maximum kinetic energy of photoelectron depend upon frequency of incident radiation.
 As the intensity of incident radiation increase the number of incident Photon falling per second increases. but the energy hv of the a photon remains same, so the kinetic energy of photoelectron remain same.
4:-  As the photoelectron are emitted due to the collision between photon and electron so it is an instantaneous process.

Experimental study of Photoelectric effect-

 The experiment arrangement of to study the laws of photo electric effect is shown in figure. It consists of a glass tube in which vacuum is created. A quartz window is fitted with it. Two electrodes C and A are sealed in it. C is a photo sensitive cathode and A is a collecting anode. the anode A can be kept at desired positive or negative potential with respect to cathode. the current is measured by milliameter and potential difference is measured by voltmeter.
                Circuit of photoelectric effect

1:-Effect of intensity

 The anode A is kept at positive potential with respect to cathode. now that radiation of  fixed frequency (greater than threshold frequency) are allowed to fall on the cathode. The cathode emitts the electron which reach at anode and current start to flow. we increase the intensity of incident radiation in steps and corresponding current is noted. A graph is plotted between intensity and current as shown in figure. from figure it is clear that the current is directly proportional to intensity of the incident radiation or we can say that the number of photoelectron emitted per second is directly proportional to the intensity.

2:- Effect of potential of anode on photoelectric current

 We allowed to fall the radiation of constant frequency and intensity on the cathode the positive potential of anode is increased in steps and not the corresponding current. Initially the current increase and finally become maximum called the saturation current. At this state all photoelectron emitted by cathode reach at anode directly. if the anode potential is further increase the value of a current remains same is maximum
 Now we give negative potential to the anode we see that the value of a photoelectric current  decrease because the photoelectron emitted by cathode are repelled by anode and only energetic photoelectrons reach at anode. As we increase the negative potential of anode the value of a current is decreases. at a certain negative potential it becomes zero. This potential is called stopping potential or cutoff potential. It is defined as the minimum negative potential given to anode with respect to the cathode at which photoelectric current becomes zero is called stopping potential.
 It is clear that ev*=half mVsquaremax the Vmax =maximum velocity of electron.
Now we allowed the fall the radiation of a high intensity i1 and i3 but same frequency v. we see that the saturation current is more and more but stopping potential is same. Thus it is clear that
1:- All photoelectrons does not have same kinetic energy.
2:-  For a given frequency the stopping potential for maximum kinetic energy of photoelectron does not depend upon the intensity of incident radiation.

Effect of frequency of incident radiations

 Now we allowed to fall the radiation intensity and frequency. we see that the saturation current is same for stopping potential are more negative. It is clear that the saturation current does not depend upon the frequency, while stopping potential depend upon the frequency of incident radiation as stopping potential is the measurement of a maximum kinetic energy of photoelectron.so maximum Kinetic energy of photoelectron depend upon frequency of incident radiation.
 If we draw a graph between frequency of incident radiation and stopping potential we get a straight line it is clear that for a particular frequency , the stopping potential is zero or we can say that the kinetic energy of photoelectron is zero. the frequency is called Threshold frequency.
If the frequency of incident radiation is less than a particular frequency then no photoelectrons emitted.
 From Einstein equation Photoelectric effect

Crytal structure 

It is description of ordered arrangement of atom, ions & molecules in a crystalline material.
State of matter
There are 5 states of matter in the world
1. Solid
2. Liquid
3. Gas
4. Plasma
5. Base-Einstein condensate

In 1924. Albert Einstein & Satyandra nath base predicted this BEC & it was refered as the 5th state of matter. BEC is a state of matter of a dilute gas of  bosons cooled to temperature very close to absolute to zero.
2.Liquid:- It is a nearly compressible fluid that confirms to the shape of its container but retains a constant volume independent of pressure. It is the only state with a defined volume but no fixed shape.
3. Gas:- It is a substance of matter in a state in which it will expand freely to fill the wall of container having no fixed shape a pure gas may be made up of individual atom. Example- noble gas like neon. Elemental molecules mase from one type of atom. Example:- oxygen. Or compound molecules made from a variety of atom Example:- carbon dioxide.
4. Plasma:- Plasma is a hot ionized gas consisting of approximately equal no. of positively charge ion & negative charged electron. It is considered as the 4th state of matter because the characteristics of plasma  are significance different from those of ordinary neutral gas.
Crytal structure




Types of solids

1. Crystalline solid
2. Amorphous solid
1. Crystalline solid:- The solid in which the constituent  particle of  matter are arrangement and organized  in a specific manner. These solids contain crystal in their structure and each crystal has definite geometry. All most solids fall in the category of crystalline solid having metallic elements (sulphur and iodine). Example:- sugar, mica, diamond etc.
NOTE:- Crystalline solids are low energy states and amorphous solids are high energy state.


2. Amorphous solid:- The solid in which the constituent particle of matter are arrange in a different manner. It is a non-crystalline solid with no proper arrangement of atom in a solid lattice. One of the most common example of amorphous solids is glass, which is used widely in the manufacturing sector.
Example:- plastic,glass,rubber etc.
Amorphous solids are isotrophic and it is due to the properties will be independent of the direction in which they are measured.


Difference between Crystalline solid and Amorphous solid

Crystalline solid:- 1. The solid in which the constituent  particle of  matter are arrangement and organized  in a specific manner.
2. It melts at fixed temperature.
3. The arrangement of constituent particle is regular.
4. Crystalline solid are regular and definite shape.
5. When cut, two smooth & plain piece are obtained.
6. Definite heat of fusion.
7. They are true solids.
8. They are anisotropic
9. They possess symmetry and interfacial angles.
10.  Example:- sugar, mica, diamond etc.

Amorphous solid 1. The solid in which the constituent particle of matter are arrange in a different manner.
2.It melts steadily over range of temperature.
3. The arrangement of constituent particle is irregular.
4. Amorphous solid are irregular shape in nature.
5. When cut two surface irregular shape is obtained.
6. Indefinite heat of fusion.
7. They are pesudo solid.
8. They are isotropic.
9. They do not possess symmetry and interfacial angles.
10. Example:- plastic,glass,rubber etc.