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LEcture12

# LEcture12 - Lecture 12 Chapter 18 Magnetic...

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1 Lecture 12 Chapter 18. Magnetic Field * Biot-Savart Law: Single Moving Charge * Biot-Savart Law: Current * Biot-Savart Law: Magnet Field from a Long Straight Wire What is the magnetic field created by an electron orbiting around the nucleus in the simple Bohr model of the H atom? v = 2.2 x10 6 m/s r = 0.5 x10 -10 m v r B = μ 0 4 π q v × ˆ r r 2 T 14 = B ( B Earth =2 10 -5 T) Exercise B = μ 0 4 π qv r 2 sin θ B = 10 7 T m 2 C m/s 1.6 × 10 19 C ( ) 2.2 × 10 6 m/s ( ) 0.5 × 10 10 m ( ) 2 sin π 2 Biot-Savart Law for a Single Charge r r q E ˆ 4 1 2 0 πε = Electric field of a point charge: Moving charge makes a curly magnetic field: 2 0 ˆ 4 r r v q B × = π μ B units: T (tesla) = kg s -2 A -1 Jean-Baptiste Biot (1774-1862) Felix Savart (1791-1841) Nikola Tesla (1856-1943) m/s C m T 2 = 7 0 10 4 π μ Observing magnetic field around copper wire: Can we tell whether the current consists of electrons or positive ‘holes’?

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LEcture12 - Lecture 12 Chapter 18 Magnetic...

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