207_FINALkey_spr11 - Dr. Huerta Phy 207 FINAL ANSWER KEY...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Dr. Huerta Phy 207 FINAL ANSWER KEY May 10, 2011 Fall 2011, Section HJ, MWF 3:35 – 4:25 p.m. Signature: Name: 1 2 3 4 5 6 ID number: DO PROBLEMS [1.], [2], AND [3.], AND TWO OUT OF PROBLEMS [4], [5.], [6.]. CROSS OUT THE BOX OF THE PROBLEM YOU WILL OMIT Your signature signifies that you will obey the HONOR CODE You may be asked to show your photo ID during the exam. PUT AN X NEXT TO YOUR DISCUSSION SECTION: [ ] Dr. Mezincescu 1O, T 9:30 - 10:20 p.m. [ ] Dr. Alvarez 1Q, T 12:30 - 1:20 p.m. [ ] Dr. Huerta 1R, T 2:00 - 2 :50 p.m. FORMULAE SHEET e = 1 . 6 × 10- 19 C, m e = 9 . 1 × 10- 31 kg, m p = 1 . 67 × 10- 27 kg, k = 1 4 π = 9 × 10 9 N · m 2 C 2 . Coulomb’s Law, Electric Fields (N/C), Electric Field Flux Φ , and Gauss’ Law ~ F = q 1 q 2 4 π r 2 ~ F q = q ~ E, | ~ E Q | = kQ r 2 , Φ closed surface = H ~ E · d ~ A = q inside Electric Field and sheets of surface charge density σ : On each side of an infinite sheet E n = σ 2 . However, outside the surface of a conductor, E n = σ . Force, Potential Energy and Torque for an Electric Dipole The Force, torque, and potential energy of an electric dipole ~ p immersed in uniform electric field ~ E are ~ F total = 0 , U =- ~ p · ~ E, ~ τ = ~ p × ~ E. Harmonic Oscillator: F x =- kx , ω = p k/m Electric Potential and Energy : W agent i → f = ( K + U ) f- ( K + U ) i , W field i → f = U i- U f KE = qV acc , U q ( ~ r ) = qV ( ~ r ) , V i- V f = R f i ~ E · d~s, ~ E =- ∂V ∂x ˆ ı- ∂V ∂y ˆ - ∂V ∂z ˆ k, E r =- ∂V ∂r Capacitance Q = CV, U = Q 2 2 C , u E = E 2 2 , C = κ o A d series 1 C eq = 1 C 1 + 1 C 2 , parallel C eq = C 1 + C 2 Circuits i = R ~ J · ˆ ndA, ~ J = q + n + ~v D + + q- n- ~v D- = σ ~ E, σ = 1 /ρ, V = iR, R = ρL/A Resistors : in series R eq = R 1 + R 2 , in parallel 1 R eq = 1 R 1 + 1 R 2 Kirchhoff’s rules : (1) at a junction, current in equals current out, (2) sum of voltage rises around a loop equals zero. Magnetic forces and Torque : ~ F = q~v × ~ B, ~ F = R i ~ ds × B, ~ τ = μ × ~ B. Physics 207 FINAL May 10, 2011 Dr. Huerta Phy 207 FINAL ANSWER KEY May 10, 2011 Biot-Savart and Ampere-Maxwell laws : d ~ B = μ i 4 πr 3 d~s × ~ r, B = μ i in 2 πr , I C ~ B · ~ ds = μ i in + μ i D = μ Z S ~ J · ˆ ndA + μ 0 0 Z S ∂ ~ E ∂t · ˆ ndA Faraday’s Law : E =- d Φ B dt E = H ( ~ E + ~u × ~ B ) · ~ ds, E =- L d i dt , E 2 =- M di 1 dt Self inductance : E =- L di dt . A coil of length ‘ , and cross sectional area A , with n turns per unit length has a self inductance L = μ n 2 ‘A . R-C, or R-L circuits : DC charging capacitor with q ( t = 0) = 0 or inductor with i L ( t = 0) = 0 E applied = q C + i C R, q ( t ) = C E applied (1- e- t/τ C ) , τ C = RC, i C ( t ) = dq dt or E applied = L di L dt + i L R, i L ( t ) = E applied R (1- e- t/τ L ) , τ L = L/R....
View Full Document

This note was uploaded on 01/08/2012 for the course PHYSICS 207 taught by Professor Huerta during the Fall '11 term at University of Miami.

Page1 / 13

207_FINALkey_spr11 - Dr. Huerta Phy 207 FINAL ANSWER KEY...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online