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Announcements

Announcements. EXAM 2 will be returned at the END of class today! Homework for tomorrow… (Ch. 32 , Probs . 4 & 6) Office hours… MW 12:30-1:30 pm TR 9-10 am F 10-11 am Tutorial Learning Center (TLC) hours: M 8 -1 pm, 3-6 pm, W 8-1 pm, 2-6 pm TR 8-6 pm, F 8-2 pm.

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Announcements

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  1. Announcements • EXAM 2 will be returned at the END of class today! • Homework for tomorrow… (Ch. 32, Probs. 4& 6) • Office hours… MW 12:30-1:30 pm TR 9-10 am F 10-11 am • Tutorial Learning Center (TLC) hours: M 8-1 pm, 3-6 pm, W 8-1 pm, 2-6 pm TR 8-6 pm, F 8-2 pm

  2. Chapter 32 The Magnetic Field (The Source of Magnetic Field: Moving Charges & The Magnetic Field of a Current)

  3. Review… The magnetic field of a charged particle q moving with velocity v is given by: Notice: All charges create E-fields, but only moving charges create B-fields.

  4. 32.3: The Source of the B-Field: Moving Charges Biot-Savart law: SI Units? The permeability constant:

  5. i.e. 32.1:The B-field of a proton A proton moves with velocity . As it passes the origin, what is the B-field at the (x, y, z) positions • (1 mm, 0 mm, 0 mm), • (0 mm, 1 mm, 0 mm), and • (1 mm, 1 mm, 0 mm)?

  6. Superposition B-fields have been found experimentally to obey the principle of superposition. For n moving point charges, the net B-field is given by the vector sum…

  7. The Vector or Cross Product The vector or cross product is defined as… where the magnitude is: Note: • vectors a & b form a plane, vector c is  to the plane • Right hand rule gives the direction of vector c • c = area of the parallelogram formed by vectors a & b.

  8. Biot-Savart Law The Biot-Savart law can be written in terms of the cross product where unit vector points from charge q to the field point.

  9. Quiz Question 1 What is the direction of the magnetic field at the position of the dot? • Into the screen. • Out of the screen. • Up. • Down. • Left.

  10. i.e. 32.2:The B-field direction of a moving electron The electron in the figure below is moving to the right. What is the direction of the electron’s B-field at the position indicated with a dot? -

  11. 32.4:The Magnetic Field of a Current The B-field of a very short segment of current is..

  12. 32.4:The Magnetic Field of a Current The B-field of a very short segment of current is..

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