I h a A brass ring with a right-angled triangular cross section encloses an infinitely long straight wire concentrically along the z-axis. As shown in the figure, the ring has the inner radisu a = 0.55 m and the right-angled triangular cross section has sides of h = 0.13 m and b = 0.22 m. The wire carries a current I = 30 A Find the total %3D magnetic flux in the ring.
I h a A brass ring with a right-angled triangular cross section encloses an infinitely long straight wire concentrically along the z-axis. As shown in the figure, the ring has the inner radisu a = 0.55 m and the right-angled triangular cross section has sides of h = 0.13 m and b = 0.22 m. The wire carries a current I = 30 A Find the total %3D magnetic flux in the ring.
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Transcribed Image Text:I
h
а
b
A brass ring with a right-angled triangular cross section encloses
an infinitely long straight wire concentrically along the z-axis. As
shown in the figure, the ring has the inner radisu a = 0.55 m and
the right-angled triangular cross section has sides of h = 0.13 m
and b = 0.22 m. The wire carries a current I = 30 A Find the total
magnetic flux in the ring.
Transcribed Image Text:Step 1
We convidu an
elem entary aven da z dx dz at distance x frgm the wive .
13 March 2003 00.0s AM
Honce magmetic field intensity at thal point,
Hamen B=
230
em n B =
-6
6x10
Tesla-
Hamce finx asoiated wit
that elementang
area, d4= BAA e
6x106
dedz.
Step 2
Hence fiux of magnehic field amoiated with
the ring is,
Ex 10
-dadz
atb
6x10
dz dg
afb
Homcy $= Jos5
6x106
O-13
(27-9+53-0)
0.22
Hencn ¢= 5.983x10
T-m2
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