AL-11
4
PH0101 UNIT 2 LECTURE 2 33 Using (3) and (4) (5) l s ds J dl H . . t D E J l s s ds t D ds E dl H . . . We Know that (6) (7)
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PH0101 UNIT 2 LECTURE 2 33
t
DEJ
ss
ds.t
Dds.Edl.H
(6)
We Know that
(7)
(Maxwells fourth equation in integral form)
ds.Jdl.H
s
ds.Jdl.H
s
t
DEJ
Using (3) and (4) (5) l s
dsJdlH ..
t
DEJ
l ss
dst
DdsEdlH ...
We Know that
(6)
(7)
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PH0101 UNIT 2 LECTURE 2 34
(8)
(Using (7) and (8))
Using Stokes theorem,
dsHdlHl s
).(.
(Using (7) and (8))
s ss
ds.t
Dds.Eds).H(
(8)
(9)
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PH0101 UNIT 2 LECTURE 2 35
ds.t
DEds).H(
s
The above equation can also be written as
(10)
t
DEHH
curl (11)
ds.t
DEds).H(
s
Differential form of Maxwell fourth equation
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PH0101 UNIT 2 LECTURE 2 36