maxwell indonesia 2

7/29/2019 Maxwell Indonesia 2

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Noor Muttaqin Arrozzy

1 D4 LA

Nrp :7309040026

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1. Faradays Law

This section explain about existence of induction

voltage in a closed circuit and the points of

maxwells law as the basic of theory inelectromagnetic wave.

If the magnetik flux which is changed towardthe time-varying come out to a closed circuit, so

in that circuit will produce an electro motiveforce,(emf) that the heavy was comparable witha change of flux according to the time.


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If the closed path is that taken by an N-turn

filamentary conductor, it is often sufficiently accurate

to consider the turns as coincident and let where isnow interpreted as the flux passing through any one

of N coincident paths.

dt

d

................(01)

dt

dN

1a)


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L dtd

dLE

.............(02)


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Moving conductor in the dynamic

electromagnetic field.

The force that work on a charge (q)moving at avelocity (v) and in the static magneticfield (B)

were formulated as :

F= q (vx B) or

mEBxvqF It called motional electric field

intensity (Em).


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If abbreviation of filament with abpoint that movewith velocity (v) and in the static field (B), so

both of filament point will be generated inductionvoltage () that formulated as bellow :

if the variable ofvand Bwere perdicular and thefilament too, so the formulation will be :

ab = vB .............(05)

while in the closed path, the formulation will be:

)04(..........)( a

b

a

b

mabdLBxvdLE

)06(............)( dLBxvab


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Example:Find the voltage conduction on the filament with

0.20 cm long below :

z v= 2.5 sin 103 t k

U B =0.04j Ty

Bx

answer:

Em= vx B= 0.10 sin 103 t (- i) (V/m)


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Moving conductor in the dynamicelectromagnetic fieldIf the magnetic flux density is changing with

time, so Faradays equation become:

The first component from the right side of theequation is the voltage generating by the

changing field in the static path,

Vtidxit3

20.0

0

310sin20.0)(10sin10.0

dLBxvdSt

BdSB

dt

d

SS

.....(07)


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while the second component is the voltage

generating by the movement of path..

Faradays experimental law has been used toobtain one of Maxwells equations inthis form :

For electro static field, that equation will be:

)08......(t

BEX

)8...(..........00 aEXdLE


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2. Displacement CurrentThe displacement current is being betweena parallel-plate capasitor that containing

electric field , if one of that plate given adynamic voltage varying with the time is

applied to produce an electric field.From an integral law of ampere :

and teorema Stokes :H dL =


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And the relation between a rot Handcurrent . density Jc(conduction current density) :

S ( x H) dS =SJC dS

x H = Jc ..........(09)

According to the current equation of . . .

continuity :

Jc= -/ t ..........(10)

And maxwell corrected it as :

x H = Jc+ JD ..........(11)

where JD =D/t


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Momentous of current displacementID:

3. Magnetic Vektor Potentiality

Didefinited as x A = BIn condition A = 0 ,the result will be :

The flament current

The surface current

The vol. of current

SSS

DDdSD

dt

ddS

t

DSdJI )12.........(.

R

IdLA

4

S RKdS

A

4

VR

JdVA

4

= permeabilityI = filament current

dL = Line element

K =surface current

dS = wide element

J = current density

dV = volume element


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4. Maxwells Equations for usage in the free

space

t

EHx

0

HBt

H

Ex 00 ;

0 E

0 H

1st maxwellequation

2nd maxwellequation

3rd maxwellequation

4th maxwellequation


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Embrance :.1. Faraday s law:

2. The electro motive force generated by. the current because of the magnetic.

.. fieldE

3. The movement conductance -

dt

dN

= electro motive force on

voltN = quantity of coil

= magnetic flux in.Weber

L dtd

dLE


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with velocityvin the static magnetic field.

4. The movement conductance with velocityvin... the dynamic magnetic field.

a

b

a

b

mabdLBxvdLE )(

dLBxvdStB

dSBdt

d

SS


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currentntdisplaceme

It

D

t

DJHX D

_

;

dSt

DIIdLH

S

D

5. The displacement current


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- google.co.id- Wikipedia.org

- Engineering ElectromagnetikSchaum series

- Hayt 6th edition

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maxwell indonesia 2

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