Month: March 2016

Incandescent light bulb

Incandescent light bulb

Incandescent light bulb 03/04/16
One of the most important inventions ever created in human history was the incandescent light bulb. The incandescent light bulb works works by passing an electric current through a filament and heating it until it reaches an extremely high temperature. Once this high temperature is reached, light will start radiating out of the light bulb due to spectrum emission. Incansdescent lightbulbs are highly inefficent, as they only use 2.2% of the energy passed in to them.

Gauss’ law

Gauss’ law

Gauss’ law 03/03/16

 

A very interesting way to find the number of charges in an electromagnetic system is to use a technique known as Gauss’ law. Gauss’ law states that if you were to create a geometric surface surrounding the charge distribution and if you were to summate the normal of the total number of electric field lives going through the surface, you would obtain the charge divided by the vacuum permittivity. To put this symbolically, Eda=q0, We can use this concept to find the electric fields in a much simpler fashion that using coulomb’s law.

Birefringence

Birefringence

Birefringence  03/02/16

 

One of the most perplexing phenomena in the field of optics is that of birefringence. Birefringence is an optical property that depends on the polarization and direction of light. As a result of a peculiar chemical lattice structures, when light strikes birefringent materials, the light splits into two angle of incidences, causing two beams of light to shine. This effect can be induced in a number of ways, one of which is mechanical stress being applied. This effect was stdied by Sir Isaac Newton when he decided to investigate a material known then as the Iceland Spar.

The Rutta Kunga method

The Rutta Kunga method

The Rutta Kunga method        03/01/16

Numerical analysis is one of the most pertinent topics in the field of applied mathematics. The first technique a student learned, euler’s method, is often too inchoate and ineffective for higher accuracy problems. Consequently, the Rutta Kunga methods was developed in response for such a problem. suppose we have a differential equation y’=f(x,y). We then use this really complicated equation yn+1=yn+x6*(k1+2k2+2k3+k4), with k1 =f(xn,yn), k2=f(xn+12x,yn+12*k1*12*x), k3=f(xn+12x,yn+12*k2*12*x), k4 =f(xn+x,yn+k3x). And then magic happens and you get a really really accurate answer after you account for all of the step sizes