Reformulation of Faraday’s Law

 From the previous two expressions for work :

more generally:

Induced Electric Fields

• A changing magnetic field produces an electric filed. 

• Consider a particle of charge q moving around the circular path

Induction and Energy Transfers

What is the origin of the electric generated by induction?

•   Mechanical work  

 

 

Energy Stored in a Magnetic Field

we know that when some system that perform activity/work, energy needed. so, what about energy stored in magnetic field?

• Magnetic field-produced by electric current

• 2 charged particles of opposite sign-pulled away resulting electric potential energy ( stored energy that make that charged come closed as we released them)

• When a electric current is flowing in an inductor, there is energy stored in magnetic field

• Consider a pure inductor L, the instantaneous power which must be supplied to initiate the current in the inductor is:






So the energy input to built to a final current I is given by the integral:




total energy stored by an inductor L carrying current i


• noted that:  same expression applied to energy stored by a capacitor C and charged q:

Miss Inductance

If a current i is establish through each of the N winding of an inductor, a magnetuc flux links those windings.

Then, the inductance of the inductor is define as

The SI unit of inductance - henry (H)

1 henry = 1 H = 1 T.m^2/A

Inductance of solenoid

Consider along solenoid of cross sectional A. There will be inductance per unit length near its middle. 

So we must calculate the flux linkage set up by a given current.

And the given magnetic field there given ;

source : http://hyperphysics.phy-astr.gsu.edu

 Hence the inductance per unit length of a solenoid is

Noted that, this Miss Inductance is like capacitor, also depends only on geometry of the device. If we have triple of n thats mean we triple the flux each turns thus the inductance of L by a factor of 9.

WatCh Out.MR INDUCTOR is just in front of you.

Bismillah & Assalamualaikum

Here, i really love to share wif ol of u!!!

Becoz.. ‘sharing is caring’ ^-^

Hey, friends!

 Mr. INDUCTOR

Mr Inductosr~

~can produce desired magnetic field (-just like capacitor-)

~can store energy in magnetic field (-capacitor store energy in electric field-)

~in other words bulb in a circuit still can be light up for a while even we open(turn off) the switch.

With a very unique symbol

In a  solenoid -

As current flows in the wire(or any other conductor),

a magnetic field is produced and
 the voltage is induced.

these are very few informations about inductor before i'll share about inductance, for the next post.

Electromagnetic Induction

While Oersted's surprising discovery of electromagnetism paved the way for more practical applications of electricity, it was Michael Faraday who gave us the key to the practical generation of electricity: electromagnetic induction. Faraday discovered that a voltage would be generated across a length of wire if that wire was exposed to a perpendicular magnetic field flux of changing intensity. 

An easy way to create a magnetic field of changing intensity is to move a permanent magnet next to a wire or coil of wire. Remember: the magnetic field must increase or decrease in intensity perpendicular to the wire (so that the lines of flux "cut across" the conductor), or else no voltage will be induced: