Problem 11: (10 points) A long straight wire suspended in the air carries a conventional current of 2.63 A in the-x dire

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Problem 11: (10 points) A long straight wire suspended in the air carries a conventional current of 2.63 A in the-x dire

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Problem 11 10 Points A Long Straight Wire Suspended In The Air Carries A Conventional Current Of 2 63 A In The X Dire 1
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Problem 11: (10 points) A long straight wire suspended in the air carries a conventional current of 2.63 A in the-x direction as shown in Figure (the wire runs along the x axis). At a particular instant a proton at location (0, -0.0441,0) m has velocity (4x 105, 0, 0) m/s. (Consider the charge of the proton: q,-1.6x10-1⁹ C). 2 out 1. (2 points) The direction of the magnetic field due to the wire at the location of the proton: Ointo the page COut of the page OUpward ODownward ● 2.(1 point) The magnetic field due to the wire can be calculated using the formula number (refer to the formula sheet) 3.(3 points) What is the (vector) magnetic field due to the wire at the location of the proton? 8. ÷ 4.(1 point) The magnetic force acting on the proton calculated using the formula number (refer to the formula sheet) 5.(3 points) What is the (vector) magnetic force on the proton due to the current in the wire? # 15
1 --k=9x10³ N.m² lel=1.6 x 10-¹9 C 416 1. The electric field of a point charge q *** 2. The electric force on a charge q F-qE 3. The electric field at a location on the dipole axis: 1 2 qsr Exis 416 4. The electric field at a location perpendicular to the dipole axis qs 1 qs E₁ = 1 4 11% If r>>s, E₁% όπως για F+OT** 5. For a location on the perpendicular axis of a uniformly charged rod and at a distance r from the center of the rod, the electric field 9 1 Ered= 4 11 Co If Lr. Ed. If r L End 1 4114 2q/L r 41160 (²) 6. The electric field along the axis of a uniformly charged ring, a distance r from the center of the ring 1 9 1 qr 1 qr If r » R. Ering 41160 If Rr. Ering 90 4 11 € R³ Eins 4 (R²+1²) ¹/2 8.85 x 10-11 If rs, E C² N.m Ho 1x 10-7 1 2qs 4³ T.m² Cm/s ↑
*50** 7. The electric potential due to a point charge q: V = 9 40% 8. The change in the electric potential for a uniform electric field; AV-E.Ai 9. The change in the electric potential for non-uniform electric field AV- --JE.al 10. The change in electric potential energy: AU=qAV 11. The magnetic field of a moving point charge: qVxr 12. The magnetic field due to a current-carrying straight wire: IL Bwire = Ho 4t r√² + (L/2)² If L» r (long wire) Bwire 13. The magnetic field of a current-carrying coil (A= R²): Но 21AN He 21AN B If r R B coll 4m (²+R³)3/2* 4 m The magnetic field inside along.colepoid n Ho NI coll A Beenter 21 ܕܠܐ 41 r KAND Ho 21 N 41 R
14. The magnetic field ride a long solenoid HONI a 15. The magnetic field of a bar magnet Bus 16 Ohms Law. VIR 17. Electric Power P = TV (18. Magnetic force on a moving charge P-97x7 19. Magnetic force on a current carving wre due to a uniform magnetic the 1TXT 20. Electric Huc for a uniform electric field o=EA 21. Electric fux for any electric field - S.A 22. Gauss's Law E. dA - Estate 23. Magnetic flux for a uniform magnetic field 0 = 3.AX 24. Magnetic flux for any magnetic held = s. Ada 25. Ampere's Law $id = ho ... 26. Faraday's Law. emf= 27. The frequency of the wave f=1/T st 28 The angular frequency: V = 20 29: The speed of the wave V=X
A mag ΔΕ 25. Ampere's Law: B.di = ho hinside 26. Faraday's Law emf = 27. The frequency of the wave: f=1/T 28. The angular frequency: v = 2nf 29. The speed of the wave: v= x 30. Index of refraction: n = c/v 31. Law of refraction (Snell's Law): nsine, an sine, n
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