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Applied Electricity and Magnetism

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Presentation on theme: "Applied Electricity and Magnetism"— Presentation transcript:

1 Applied Electricity and Magnetism
ECE 3318 Applied Electricity and Magnetism Spring 2017 Prof. David R. Jackson ECE Dept. Notes 29

2 Biot-Savart Law a) Volume current b) Surface current r
Please see the textbooks for a derivation. a) Volume current b) Surface current r

3 Biot-Savart Law (cont.)
c) Line current (wire) Note on notation: Rule: The contour C is in direction of the I arrow (i.e., the reference direction for the current). (This determines the starting point A and the ending point B.)

4 Example Find H Infinite line current

5 Example (cont.) Hence we have:

6 Example (cont.) I

7 Example (cont.) Note: Hence we have or

8 Example (cont.) Summary
Note: This agrees with the answer obtained by Ampere’s law.

9 Example Find H Circular loop of current
Note: This problem cannot be solved using Ampere’s law!

10 Example (cont.) so

11 A prime is not necessary on unit vector z.
Example (cont.) Note: A prime is not necessary on unit vector z. so

12 Example (cont.) Summary x y z a r = (0,0,z) I

13 Example (cont.) r = (0,0,z) As z  : I z a y x
This explains why it is difficult to achieve a significant range in a wireless charging system:


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