Electrodynam fig
Coordîrate srems ELFC-D-
Cartesian ( , , )
Suppese a pt grven by (X,4,z)
- Pesn vector: î+ y+ C PV)
- unut vector(p) =
] unduual (st, B, )
Suppese pt s gfven b PC Ø,z)
P P,PCPv)
Any pt qiven bytersectfon ol P l a e ufth = corst
O CTulou cirdor daotus
-o So
Piane k =const
HCOs OS 2
-co <oo
-tan( d/z)
3 Ciruas(,, p)
epresented bu tersetfon
Any pt b
OSphere raolAu
Rgur craular cone ccth apex at orfafn , z as aisj my agle
Plane ir to Xy plaune coith xz plane
-- i . +lo+DT Pv -co <0
S P n o coso OS eST
1sosfrg
kan 7
Coso
t a n (8/z)
eldfeld A rerd s a +har dlescbes behaviour of a
phusfca uan cul au pts gven space
Der-operaro(v):
-Dened Coueson sysrem cs
V
-
I not a vector but can be used rans amactfong
, Ciraakaoo tndouua
Sphexi al : ve
ly
A
2 r
KIGracent (v)Lscadarvecter7
k dhe ore
change a uncHon tn a spealied elirn Te. ts
a drectiona) derivativ2
Tt stmp tets heus fast he
ovaues ce moe a Small duu
Cradfent Scal a
value
vector h ve ctor quatit he ma
hatn ven dire ctfon and a e potn
tonsicler cdfon
Constd e he scou cu vecor- otental Cv).
red V gradfent V =v v+
x
av+ Rev
plain_gs«aoluent in coo%duncte
rem
- onsfoer V2
oth
equupotental
polentfals
surfaces
S 52
VV2 separmted by
dist d
. h e chanqe n
potentfol btuD +hem>
dy = x-
dz +
dy+ dz -O
Smal change
nVz in A
RHS Con be oserten cas
A
aa a a drot -
Lonexe
Cya z are acm ccutesfaun
olyat
adoen sdiso
ecter unlt uetors along y2z don:
Also dî= olz t
dly a t
d
bongc n
Smauy
e
,
from 1,2, 3
alv= A d
dv A d cos
aA olv
oll cos O9
Coordîrate srems ELFC-D-
Cartesian ( , , )
Suppese a pt grven by (X,4,z)
- Pesn vector: î+ y+ C PV)
- unut vector(p) =
] unduual (st, B, )
Suppese pt s gfven b PC Ø,z)
P P,PCPv)
Any pt qiven bytersectfon ol P l a e ufth = corst
O CTulou cirdor daotus
-o So
Piane k =const
HCOs OS 2
-co <oo
-tan( d/z)
3 Ciruas(,, p)
epresented bu tersetfon
Any pt b
OSphere raolAu
Rgur craular cone ccth apex at orfafn , z as aisj my agle
Plane ir to Xy plaune coith xz plane
-- i . +lo+DT Pv -co <0
S P n o coso OS eST
1sosfrg
kan 7
Coso
t a n (8/z)
eldfeld A rerd s a +har dlescbes behaviour of a
phusfca uan cul au pts gven space
Der-operaro(v):
-Dened Coueson sysrem cs
V
-
I not a vector but can be used rans amactfong
, Ciraakaoo tndouua
Sphexi al : ve
ly
A
2 r
KIGracent (v)Lscadarvecter7
k dhe ore
change a uncHon tn a spealied elirn Te. ts
a drectiona) derivativ2
Tt stmp tets heus fast he
ovaues ce moe a Small duu
Cradfent Scal a
value
vector h ve ctor quatit he ma
hatn ven dire ctfon and a e potn
tonsicler cdfon
Constd e he scou cu vecor- otental Cv).
red V gradfent V =v v+
x
av+ Rev
plain_gs«aoluent in coo%duncte
rem
- onsfoer V2
oth
equupotental
polentfals
surfaces
S 52
VV2 separmted by
dist d
. h e chanqe n
potentfol btuD +hem>
dy = x-
dz +
dy+ dz -O
Smal change
nVz in A
RHS Con be oserten cas
A
aa a a drot -
Lonexe
Cya z are acm ccutesfaun
olyat
adoen sdiso
ecter unlt uetors along y2z don:
Also dî= olz t
dly a t
d
bongc n
Smauy
e
,
from 1,2, 3
alv= A d
dv A d cos
aA olv
oll cos O9
