Summary For Magnetic Field, Sources of Magnetic Field, Faraday's Law, and Inductance
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Course
Physics
Institution
Sixth Year / 12th Grade
Book
Physics for Scientist and Engineers With Modern Physics
Clean and neat one or two page summary for Electromagnetism topics of: (1) Magnetic Field, (2) Sources of Magnetic Field, (3) Faraday's Law, and (4) Inductance
CHARGING A CAPACITOR
·
switch on
>
-
connect to source/battery
i = instantaneous current
C
a a C instantaneous charge
g =
b b
R
i
V
R At t = 0
, g = 0
At t t,
F
=
g q =
q F
q
-
-
At t = @
, g =
&mas
no charge charging
· Time constant
T = RC · Charge as a function of time ·
current as a function of time
= time constant
g(t) =
&(1- a ict) = I
,
etIRC
R = resistance
C = capacitance
·
when t = RC
>
-
g(RP) =
& (l-ER
~ , 0 368
.
-> q(rC) = 0 .
632@T g(RD =
0 632CE
.
↳ i(RC) = I
,
e-RCR) =
2
0 .
3681
;
F
=
>
-
E
=
man
·
At time interval of 1 t , the charge is 63 2 %
.
of charge
maximum 24 +
86 5
. %, 35 +
95 % /
·
At time interval of 12 ,
the current is 36 8 % .
mmitial
of current . >
-
I
,
24 - 73 5 .
%, 35 -
4 9 .
%
DISCHARGING A CAPACITOR
·
disconnect the capacitor from source/battery
a C a C a C
b b b
i i
R V
R R
F
q
-
F
q
+ -
-E
-
no
charge charging discharging
· instantaneous charge in discharging process .
instantaneous current in discharging process
tIRC
et -T-tre
I
Di
tr
-
& ist) --E
q(t)
&
e
je
e
-
= = = -
, ,
opposite direction
from charging
·
t = 0 - g(0) = 2
; position
t = 0
- g(Δ) = 0
, CI .. MAGNETIC FIE LDDS
1 Earth's magnetic field Analysis Model : Particle in a Field (magnetic)
· geographic poles- geomagnetic poles .
1 Magnetic force
>
& charge q
·
but they are near elo--> -10 difference .
2
F on negative charge is directed opposite
*
S
to F on positive charge moving in same dir :
i energy
-
D=C
-
CME
FB
Le
& &
-h i * high A-
C
-
S ran -
- particle B 3
. Magnetic Force
F of magnetic
man N
- field B
T
Y
-S
solar wind # - - - - -
> F gx = IF) =
gl/sin O
" *
·
Unit of magnetic field =
tesla (T) >
-
1T = 1N = 10 G
↳ Comparison of
Fe and FB
I
Fe Fis
.
1
along direction of E 1 .
perpendicular to
.
2 acts on charged particle regardless of whether .
2 acts only when particle is moving
the particle is moving
.
3 does work in displacing a charged particle .
3 does no work because FLY
Z x
⑨
N N
dot Cross
> x * >Y
outward inward
↑ Motion of a Charged Particle in a Uniform Magnetic field
u
=
w
= T=M
qB
D
Non-Uniform Magnetic field
high density
=
> reverse back to low density region
- can
!
charge is
↳
trapped
low density
· We call this phenomena as magnetic bottle'
↳ Velocity Selector
·
select the velocity of the particle by adjusting this ratio !
v =
E
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