Obtain an expression for the magnitude of the magnetic field B as a function of d and L assuming that all constants

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The magnetic field of a permanent magnet (I) 
Prediction: Calculate the magnitude of the magnetic field as a function of the distance from one of the poles along the longitudinal axis.

Prediction method:
We are going to assume that a magnet behaves similarly to an electric dipole in order to get a mathematical model for the magnetic field. This comparison is not based on any physical theory (because we know there is no magnetic charge), but it has the advantage of allowing us to simply analyze the field of a magnet.

4. Obtain an expression for the magnitude of the magnetic field B as a function of d and L assuming that all constants (Coulomb's constant and the two "magnetic" charges) are equal to one.
5. Graph B against d.

Step 1: about permanent magnets
Magnetic field of.
of a
Permanent
their own possistent magnehi held
such as
and
Outside the magnet.
They are made of ferromagneti matural
on and nickel, that have been magnetized
north & South pole
They have
both a
sto N.
Solubo
Solution
a permanent magnet
Ⓒ
magne hcheld lines
→ Step 2: schematic representation of bar magnet
N
magnets are objects that produce.
d
and af dufma d
Inside the bar magnet, direction & from
Let the point
P
(tu)
42
Imoves from
с
from
4₂
L
P 4
d.
Bp
1
Bg
N→ Considered a
tre
Scorridered
al-ve
Nbs,
both polu
above the
S
(-VC)
confer
Bp and Bs are
magrehi held du
to pous p
s respectively
Transcribed Image Text:Step 1: about permanent magnets Magnetic field of. of a Permanent their own possistent magnehi held such as and Outside the magnet. They are made of ferromagneti matural on and nickel, that have been magnetized north & South pole They have both a sto N. Solubo Solution a permanent magnet Ⓒ magne hcheld lines → Step 2: schematic representation of bar magnet N magnets are objects that produce. d and af dufma d Inside the bar magnet, direction & from Let the point P (tu) 42 Imoves from с from 4₂ L P 4 d. Bp 1 Bg N→ Considered a tre Scorridered al-ve Nbs, both polu above the S (-VC) confer Bp and Bs are magrehi held du to pous p s respectively
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