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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.
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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.
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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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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