Quiz_4_sol

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

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Unformatted text preview: Problem 1 µ) 0 =0µ The plane z= separate air ( z≥ , µ= 0 from iron ( z≤ , µ 20 0 ). r0 r r r0 Given that H 0 1 − A/m in air, = i+ j 3 15k r find B in iron and the angle it makes with the interface. Solution: rr ri ra r r r ri r r B= n=30 , HH1 + j B2 0 0+ 1µ µ i a 0 1 ⇒ ×3 i 3 0 0 ×3 j n B − r k t=t =i r 5 t= 1µ ri r B 2 0 0+ 1µ − 0 = 1µ 3 0 0 3 k ×3 i ×3 j µ i tn= B 3 1 1) 0×−≈ 6 a B t=( 3 0= 13 0 o ϕn i ×3 . 0 . 8 0 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 = - di / do => di = - 3do 1 / do - 1 / 3do = 1 / 27 => do = 18 cm (in front of the mirror). Problem 3 The solar telescope uses a single concave mirror to produce a real solar image 80 cm in diameter. (a) What is the focal length of the mirror? (b) How far is the image from the mirror? (Radius of the Sun is 661 k , Earth’s distance from the Sun is 1 × 8 m . × 5m 90 . 1 k .) 50 Solution: di / do = hi / ho = 0.8 / (1.392 x 109) = 5.75 x 10-10; di = do hi / ho = (1.5 x 1011) (0.8) / (1.392 x 109)=86.2 m. 1 / do + 1 / di = 1 / f => f= di = 86.2 m ...
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This note was uploaded on 09/19/2011 for the course PHYS 4d taught by Professor Staff during the Winter '08 term at UCSD.

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