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Quiz_4_sol - Problem 1 0 =0 The plane z= separate air z = 0...

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Problem 1 The plane z = 0 separate air ( z 0 , μ = μ 0 ) from iron ( z 0 , μ = 200 μ 0 ). Given that r H = 10 r i + 15 r j - 3 r k A/m in air, find r B in iron and the angle it makes with the interface. Solution: r B n i = r B n a =- 3 μ 0 r k , r H t i = r H t a = 10 r i + 15 r j r B t i = 2 × 10 3 μ 0 r i + 3 × 10 3 μ 0 r j r B i = 2 × 10 3 μ 0 r i + 3 × 10 3 μ 0 r j - 3 μ 0 r k tan ϕ = B n i B t i = 3(13 × 10 3 ) = 0 .8 × 10 - 3 0 .06 o Problem 2 An object’s image in a 27-cm-focal length concave mirror is upright and magnified by a factor of 3. What is the object distance? Solution: An upright image in a concave mirror must be virtual, so M = 3 = - d i / d o => d i = - 3d o 1 / d o - 1 / 3d o = 1 / 27 => d o = 18 cm (in front of the mirror).
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