eqn-sheet-1

# eqn-sheet-1 - Equations and Constants for Quiz 1 Note: you...

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Equations and Constants for Quiz 1 Note: you may detach this sheet from the quiz. You do not need to hand it in. 1. Coulomb’s Law: (a) ± F 1 2 = Q 1 Q 2 4 π± 0 r 2 1 2 ˆ r 1 2 ; (b) 1 4 π± 0 =9 × 10 9 N · m 2 / C 2 ; (c) proton charge: e =1 . 6 × 10 19 C. 2. Electric Field (a) ± F 1 2 = Q 2 ± E Q 1 ( ± r ); (b) ± E Q ( ± r )= Q 4 π± 0 r 2 ˆ r ; (c) superposition: ± E TOT ( ± r P n Q n 4 π± 0 | ² r ² r n | 2 ² r ² r n | ² r ² r n | or R dq ( ² r 0 ) 4 π± 0 | ² r ² r 0 | 2 ² r ² r 0 | ² r ² r 0 | . 3. Gauss’s Law (a) I ± E · d ± S = 1 ± 0 Q enc ; (b) spheres: 4 πr 2 E = 1 ± 0 R r 0 4 0 2 ρ ( r 0 ) dr 0 ; (c) cylinders: 2 πrLE = 1 ± 0 R r 0 2 0 ( r 0 ) dr 0 ; (d) conductors: i. E = Q =0 inside. ii. On surface, ± E k ; ± E = σ/² 0 ; 4. vectors: (a) A = ¯ ¯ ¯ ± A ¯ ¯ ¯ = q A 2 x + A 2 y ; (b) θ ² A =tan 1 ( A y /A x ) . (c) ± A · ± B = AB cos θ ² A, ² B = A x B x + A y B y ; (d) ¯ ¯ ¯ ± A × ± B ¯ ¯ ¯ = A sin θ ² A, ² B (direction RH rule); (e) ± A × ± B = ¯ ¯ ¯ ¯ ¯ ¯ ˆ ı ˆ j ˆ k A x A y A z B x B y B z ¯ ¯ ¯ ¯ ¯ ¯ ; 5. constant acceleration:

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## This note was uploaded on 05/11/2010 for the course ＰＨＹ 214 taught by Professor Timothybolton during the Spring '10 term at Kansas State University.

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eqn-sheet-1 - Equations and Constants for Quiz 1 Note: you...

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