03/30/2023
18
- -
-
Today's
Recap of
-
:
Topics
-
Bot-Savart
-
-
Force
Lorentz
force law
Law
between
two
wires.
Magnetic field from
a
loop.
e
Demonstrations
-
visualize fields from
Using filings
to
-
-
-
-
Stroughtwire
loop
solenoid
Toroid
Magnetostatics
Stationary charges
Steady
currents
Electric
Constant
IConstant
from
Field
Magnetic
>
charges
fields
E
fields
E
>
Electrostates
magnetostatics
Coulomb's
Law
Savart Law
fields from currents >
goas
Bot-Savart
Law
↑! =
Fl
di=no
1
+
1
·
↑I
Vector
der
I
--
Magnetic field from segment
I
vp-
de
7
=>
B(F)
=
no
point to
Integration along
the
10 47
=
157N/AR
+
m
Permeability
space.
of free
III
↓
from
source to
as
see
onlyt
-
current
path
Bot-Savart
Law
-
-
dB
in
1
F
1
=
Magnetic field from segment
de
7
10 47
=
157N/AR
+
m
Permeability
of free
space.
point to
xB
e
del
I
--
↑IVector from
source to
No
-
[N0]
=>
[B]<m)
=
=
]
[B] [T] N/(Am)
=
=
B(F)
No
=
JIT
↓
Integration along
the
current
path
Goes
I
as
like
Coulomb's Law.
Magnetic field from
->
strought
a
wire
as
65
/
de
n)E
v
i.
v/cost
.
=
..
.
④
↓
->
->
B
↑
into
the
page
Sinf'=sin(90+A)
v=
u/c0s8
=
usecodE
6s8.
=
=
usect
Sf(t dty
n
=
-B
=>
Points
Isint.
0
el=d(rtan6)
I
dB
=>
e
noIdex
=
=
...
2
wire
riseKO
M Ict
=
Tz
yu/costd8
B
=>
I
=
10IY
=
M/z
-
=>
B IE
mg
Current
out
into
the
wire
->
↓
circles
Bd
->
↳
coming
of the page
4MU
around the
(like
t
a
nna-
B
field
wire
line of
charge).
segment to
current
from
&
·
Ar
↓
=
278
Look
sinf
-
Force
between
two
current
8
E
=
--
->
-
- -
R
=
A
*
-"
-
·S
Right
hand rule
&
A
A
wires
·
-
*
Is
carrying
Iz
I
S
*...
-
E
⑳
-
-
①2
-
Fr
B1
IzlB1Y
u
I
force
2
=-
Field due to 1
on wire
bee
=
due to 1.
-
Fzz
->
=
--
E
force/unit
length.
l
-
t
like currents attract
hit
- >
Force
->
2
1
8
·
Exercise:
I
Estimate
the
-
used
in
demo
force
in
between the
our
class
wires
(assume
I=
200A)