Wednesday, April 17, 2013

Electrical Theory

Capacitance

A capacitor has two metallic plates or any other electrical conductors. These two conductors are arranged parallel to each other and are separated by space between them. Here the space serves as non-conducting medium.

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These two plates are joined with a battery. The whole arrangement is known as capacitor. Capacitance (C ) measures ability of a capacitor to store charge. Here charge build up is seen on both metallic plates. This charge builds up produce voltage between the two plates. The voltage, thus produced, makes the battery to serve as charge carrier between the two metallic plates. The process continues until the battery voltage becomes equal to the voltage.
It can be expressed as following equation:
 C=Q/V
Here C= capacitance
Q=charge magnitude on each plate
V=voltage on plates
The SI unit of C is Farad. As we know that SI unit of Q is Coulomb and that of V is volt. Hence
Farad= Coulomb/volt

Electrical Circuit

Electrical circuit (EC) can be understood by a simple assumption. Let’s think about two oppositely charged metal plates that are lying parallel to each other. Since the plates are oppositely charged and electrical conductive, an electric field will be generated between them. Due to this field, there will be movement of charge from positively charged plate to the negative one. Now consider that these two plates are connected by a metal wire.

This metal wire will serve as charge carrier from positive plate to the negative one. To establish a continuous loop of charge flow, a battery back is used. The batter pack serves to establish a continuous close loop of charge flow; it allows the charge to flow from positive plate toward the negative one and then back to the positive one. Hence an EC is the close continuous loop of charge flow.
Electric Circuits
To establish an EC, a continuous charge flow from and back to the source is required. For the purpose EC has some common components namely electricity source, conductor, control device and load device.

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Circuit Analysis

Circuit analysis relies on two laws namely Kirchhoff’s current law and Kirchhoff’s voltage law. According to the Kirchhoff’s current law, sum of all the currents entering and leaving a node is equals to each other, both values are zero. According to the Kirchhoff’s voltage law, sum of voltage drop around a loop is zero and sum of voltage rise around a loop is also zero.

Equivalent Resistance

It determines if two resistors are in parallel position or are present in a series.

Wednesday, April 10, 2013

How to Save Electrical Energy

When we use electric energy it seems that it is not causing any pollution or emit any smell unlike when we burn fuel in automobiles. But to produce electric power large amount of fossil fuels such as coal and diesel is used in power plants, which emit large amount of carbon dioxide. So wasting electric energy leads to pollution indirectly and  by saving electric energy, we can save money and avoid pollution

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Some of the ways to save electric energy


Turn off your television, video, hifi, playstation, and other entertainment devices when they are not being used.
Do not leave your television etc in standby mode. Devices can use up to 90% as much power in standby mode as when they are on, so it is a serious waste of energy when a device is left constantly on standby. If you keep forgetting, consider purchasing a power saver - a device which automatically cuts power to appliances when they go into standby mode.
Replace all of your inefficient incandescent light bulbs with energy efficient Clf bulbs. Replace halogeh bulbs with much more efficient and longer lasting LED spot lights
Hang your clothes out to dry rather than using an electric tumble dryer. Cook many items at the same time when your electric oven is hot.

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Use a microwave to reheat food or to cook small portions. Although a microwave uses a lot of power, it does so over a very short time and so saves energy overall.
Turn down your heating system thermostat. For every degree you lower your heat between 60° and 70° F you can reduce your heating bill by up to 5%. Wear an extra layer of clothing in the house so that you stay warm. Turn down individual radiators - for example, 16°-18° is warm enough for bedrooms whereas 20°-22°C is more comfortable in bathrooms. Rooms that are rarely used can have their heating turned all the way down or off.
Purchase energy efficient  white goods (washing machines, tumble driers, fridges etc). Although they usually cost a little more initially, the cost savings in electricity will cover that many times over. As an added benefit, efficient items are usually better made and last longer than inefficient models.
Cool cooked food before you put it into the fridge.

Introduction to Solid State Physics

Introduction to solid-state physics

Now these days all the electronic devices, which we use, are based on the controlled flow vacuum tubes such as diode valves, triode valves, tetrode valves and pentode valves. In these vacuum tubes, the electrons are provided by heating the cathode using low-tension battery and controlled flow of electrons is achieved by varying the voltage between its different electrodes. A vacuum is created between interelctrodes so that the moving electrons may not lose their energies during the collisions with air molecules in their way. In these vacuum tubes, the electrons can flow only in one direction, hence they are called valves. The vacuum tube devices are bulky, operating at high voltages consume more power and having limited life and low reliability.

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Solid-state physics


In 1930, it was released that some solid-state semi conductor and their junctions can be helpful of controlling the number and direction of flow of charge carriers through them. The discovery of semiconductor junction, i.e., junction diodes and transistors, replaced the vacuum tubes. The semiconductor junctions are very small, operates at low voltage, consume small power, having long life and high reliability. The semiconductor junction led to the discovery of integrated circuits (IC) which have revolutionized the electronic industry as they have been used in the working of television and computer which are very commonly used in our daily life. The one more advantage of semiconductor junctions that they are very cheap as compared to the valves. Solid-state physics is based on the semiconductors. The pure semiconductor is free from every impurity. Such type of the semiconductor is called intrinsic semiconductor. Germanium and silicon are the examples of pure semiconductors. The electrical conduction in semiconductors is caused by the motion of the electrons in the conduction band and by the motion of holes in the valence band.

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Introduction to Solid State Physics : Conclusion


In a pure semiconductor, at a room temperature, the conductivity is very low, because the number of intrinsic charge carriers is very small. To increase the conductivity of the semiconductors we can make a process doping in the intrinsic semiconductors.

Magnetic Pole Strength

Introduction to magnetic pole strength:

Magnetic pole strength is the strength of the magnetic poles. These poles are either positive or negative. When another magnetic pole is brought near a magnetic pole, the pole exerts certain force, either attractive or repulsive force on the other magnetic pole. The strength of this attractive or repulsive force is the magnetic pole strength. In case of a huge magnet or an isolated magnetic pole, the magnetic pole strength is defined as a ratio of the force exerted on the magnetic pole and the magnetic field strength.

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About magnetic pole strength


Although an isolated magnetic pole does not exist, for theoretical purposes and for derivation of magnetic pole strength, a magnetic monopole is considered.

Strength of a hypothetical bar magnet pole can be explained by considering the magnet as an electromagnet with an infinitely long wire carrying current I.

The pole strength = W/I, here w is the work done by turning the wire around in a closed loop. If the pole strength is greater than 0 it is considered north magnetic pole and if it is less than zero it is a south magnetic pole. The unit for magnetic pole strength is Vs. Magnetic pole strength is equivalent to the magnetic flux found around the magnetic pole.

Another alternate definition for magnetic pole strength is the ratio if magnetic moment of the magnet and the distance of its poles.

In case of a bar magnet, the magnet is considered to have two isolated poles attached to the magnet on either end. Here magnetic coulombs law comes into picture. The force between these two poles is a product of the pole strengths and is inversely proportional to the distance squared between them.

The force = k (m1m2)/d2

Here k is a magnetic constant with a value 4 p · 10-7 Vs/Am

m1 and m2 are the magnetic pole strengths and d is the distance between the poles.

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Conclusion for magnetic pole strength


Magnetic pole strength is defined theoretically by assuming a monopole although monopole does not exist. The pole strength is the magnetic flux found around the magnetic pole.

Magnifying Lens with Light

Introduction to magnifying lens with light:

The apparent size of an object is determined by the size of its image on the retina of the eye. If the eye is unaided this size depends on the angle ? subtended by the object at the eye which is called its angular size. To look closely at a small object such as an insect or a crystal, we bring it close to our eye and making the subtended angle and the retinal image as large as possible. But our eye cannot focus sharply on the objects that are closer than the near point, so the angular size of an object is greatest when it is placed at the nearest point. Thus the lens used in this way is named as the magnifying lens or simply the magnifier.

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Image formed by magnifying lens and its nature


A converging lens can be used to form a virtual image that is larger and farther from the eye than the object itself. The object can be moved closer to the eye and the angular size of the image may be substantially larger than the angular size of the object at nearest point without the lens. The virtual image is most comfortable to view when the image is placed at infinity so that the ciliary muscle of the eye is relaxed thus this means that the object should be placed at the focal point of the magnifying lens.

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Conclusion for magnifying Lens and amount of Light associated


The magnifying lenses changes with the amount of light. If we use an ordinary magnifying lens then we will be able to see only the object present in the light and more specifically in the visible light. The magnifying lens can be used for burning some special materials using the solar light. But if one wants to see the dark object present in the universe then they must use a different magnifying lens. The astronomers use a different magnifying lens named as the galactic magnifying lens which is used to probe or investigate the elusive dark energy.

Thursday, April 4, 2013

Linear Algebra Physics

Introduction to Linear Algebra in Physics:

In physics linear algebra is widely used in many activities and other important relations of physics such as the vectors and the mappings etc. but the main role of linear algebra in physics is the vector calculus. As we know that the beauty of physics lies in its numerical questions and linear algebra thus plays an important role in physics. Please express your views of this topic the mass of a neutron is by commenting on blog.


Importance of Linear Algebra in Physics


In many areas of physics the mathematical idea of vectors play important role. Some of them are:

When we take a particle which is traveling through the space, we must represent its velocity and its direction in which it is traveling by a vector which is in three dimensions and can be represented in space. When we talk about its path then we say that its path is a varying line and the variation is along with the time.
The vector calculus which is nothing but the linear algebra of physics has a great role in calculating the structure of the bridge at several points of its constructions because these vectors provide us the direction and magnitude of the force that is acting at several isolated points.
In electromagnetism theory the Maxwell’s equations are the main equation and they also deals with the vector fields which are changing with time according to the requirement thus it is also a linear algebra of physics
The theory of relativity is another example of the linear algebra in physics because it uses the transformations of distance and time from one frame to other by means of a linear mapping of the vector spaces.
The important branch of physics is quantum mechanics which also uses the vector spaces and their mapping in its various results thus it is also a linear algebra of physics.

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Conclusion for Linear Algebra in Physics


Linear algebra in physics has various roles in vector analysis, matrices, solving expressions etc. Physic is a branch of science that deals with measurements and linear algebra is a boon to it as it helps in simplifying many equations easily.

High Altitude Wind Power

At any moment, the winds in high-altitude wind  roughly holds 100 times more energy than the entire  electricity consumed in the world. High altitude wind power: High altitude wind power is one of the useful energy that is captured in the sky by using tether and cable technology. The atlas of  High altitude wind power marked is prepared for various regions of the earth. The spinning rotors of the kite turbines will convert the kinetic energy of the wind in to electricity and return it back down, through the wire 30,000 feet to a distribution grid on the ground.

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High altitude wind power


Different methods are used to capture the kinetic energy of wind in the sky by using kites, apostates, gliders which are fitted with  turbines, Sailplanes with turbines etc. At higher altitudes Winds are stable, continuous,  and have higher velocity. Before installing wind turbines, wind source evaluation is done. The energy available in the wind is proportional to the cube of its speed, which means that doubling the wind speed increases the available energy by a factor of eight and tripling the velocity gives 3*3*3=27 times the available power.


Advantages of high altitude wind power


At higher  altitudes wind is continuous and strong
Flying electric generators can achieve up to 80 percent of availability by placing them at suitable location
High altitude wind generators can be adjusted in height and position to maximize energy return, which is not possible in case of  fixed tower-mounted wind generators.

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Some of the challenges to harness high altitude wind power are


Increase in the altitude leads to  increase in  the length of the tether, temperature of the air increases and the susceptible to atmospheric lightning.
High altitude wind power, increases the cost and exposure to turbulence
Very accurate systems are needed to maintain the position of the turbines in the sky
Difficult to inspect the systems
Chances of collision with  flying jets and planes and birds