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PHYS 6C EXAM_I_FORMULAS

# PHYS 6C EXAM_I_FORMULAS - PHYSICS 6C EXAM I FORMULAS OPP...

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PHYSICS 6C EXAM I FORMULAS ± HYP OPP ADJ ² ± = 90 0 ² ³ sin ± = OPP HYP cos ± = ADJ HYP tan ± = OPP ADJ ADJ 2 + OPP 2 = HYP 2 ax 2 + bx + c = 0 ± x = ² b ± b 2 ² 4ac 2a EM waves : c = 3.00 ± 10 8 m/s , ² 0 = 8.85 ± 10 ³ 12 C 2 (N ´ m 2 ) , μ 0 = 4 µ ± 10 ³ 7 N A 2 c = 1 ² 0 μ 0 , E = cB , E = E max sin2 µ t T ³ x · ¸ ¹ º » ¼ , B = B max sin2 µ t T ³ x · ¸ ¹ º » ¼ c = f , f = 1 T , k = 2 µ ¶ , ½ = 2 µ f Energy : u = 1 2 ² 0 E 2 + 1 2 μ 0 B 2 , B = E c = ² 0 μ 0 E , u = ² 0 E 2 Energy flow per unit time per unit area : S = cu , S av = u av c = 1 2 ² 0 cE max 2 = E max B max 2 μ 0 Intensity : I = S av , pressure = I c , Momentum = ¾ U c Index of refraction : n = c v , = 0 n , Snell ' s law : n a sin ¿ a = n b sin ¿ b , sin ¿ crit = n b n a Polarization : I = I max cos 2 À , Brewster ' s law : tan ¿ p = n b n a Geometric Optics spherical mirrors : 1 s + 1 ± s = 1 f , f = R 2 , m = ± y y = ² ± s s Refarction at a spherical surface: n a s + n b ± s = n b ² n a R , m = ± y y = ² n a ± s n b s Thin Lenses : 1 s + 1 ± s = 1 f , 1 f = ( n ² 1) 1 R 1 ² 1 R 2 ³

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