Monday, October 10, 2011

Electromagnetism - Part 1

Salaam! (Peace!)

Well, today we are going to discuss the A2 Physics topic: Electromagnetism
In this first part, we'll discuss Magnetic Fields which is a sub-topic of this chapter.

As we all know from O level work, magnetic fields have field lines similar to electrical fields. These lines do not cross each other. The closer they are, the higher the strength of the magnetic field. The field lines move in the direction of north to south. From the north pole of the magnet to the south pole of the magnet. To get a good idea, you could use iron fillings on a piece of paper with a magnet at the bottom to literally see the magnetic field of that magnet. you can also use a plotting compass to find its direction. All that is easy right? I hope you all are familiar with the magnetic field line diagrams of a straight wire, a solenoid, and a flat coil.

You must first know that if there is a uniform magnetic field in one direction, and a current running perpendicular to that magnetic field, the force exerted on that current carrying wire will be perpendicular to both the current and the magnetic field. This is known as the Motor Effect. To find the direction of the force, use Flemming's Left-Hand Rule. Where your middle finger represents the direction of the current, the fore finger the direction of the magnetic field, and the thumb as the direction of the force exerted on the wire.

As physics is the study of measurements, techniques have been derived to measure these magnetic fields.First up is the Magnetic Flux Density which is measured in the unit called Tesla.
The force that acts on a wire due to the motor effect was found to be directly proportional to the current in the wire and the length of the wire which is present in the magnetic field.
So:  F = BIL where B is the constant of proportionality known as the magnetic flux density.

An important definition:
One Tesla is the uniform magnetic flux density which, acting normally to a long straight wire carrying a current of 1 Ampere, causes a force per unit length of 1 N/m on the conductor.

Friday, October 7, 2011

Mathematical Induction

This topic i find to be one of the more tougher chapters of Further Maths.
Mathematical Induction is a maemqtical process used to prove a given mathematical statement as true. Unfortunately, it is hard to write in mathematical terms on a blog (especially if youare posting from an iPad2. heh) but i will just try to gget to the basic idea.

First you take the mathematical statement to be proved given to you, and you

1) Assume it true for n=k. Just substitute k in place of n in that equation.
2) Prove it true for n=k+1. Replace n with k+1 and solve. You may need to substitute stuff from another equation which you may have previously worked out in that question.
3) Show that its true for n=1.
Conclusion: "Hence true for all positive integral values of n."

Although systematic, these questions can be pretty tough and require really good algebraic manipulation skills.

Try the past papers.

Introduction to this Blog

Bismillah Ar-Rahmaan Ar-Raheem

Salaam!
This is the first post of the blog which will contain my notes on several Alevel subjects Inshallah. Since i am already in my second year of Alevels, i will be focussing more on the A2 syllabus. Obviously, I will also concentrate more on the subjects i myself am currently taking.

These subjects are:
Biology
Physics
Chemistry
Further mathematics (yup, i really did opt for it)

In my AS level, i got 3As (bio, phy, chem) and an A* in mathematics (i did accelerated maths; completed the 2 year maths course in one year). I hope you will all find these grades satisfactory and are now somewhat ready to accept me as a potentially good note taker, student, and teacher(in this blog atleast).

Hope you all have fun reading my posts and have no difficulty in your subjects after reading them. If you still have questions, even if they are related to AS or O level work, Feel free to ask in the comments section. I will try to answer all those questions, Inshallah(God-willing).