Magnetic induction Apr. 30, 2007

+ [equation]; for homogeneous medium, we can find L/l from C/l; wave impedance [equation]

+ Phasor: to specify a sine wave (time harmonic), we need Amplitude and Phase; [equation]
[equation] [equation] [equation] (exponential form) or [equation] (polar form)

+ derivative with respect to time [equation] [equation]

+ Faraday's and Lentz's laws (Sect. 6.2): [equation]
Voltage is induced in open/closed loop; current is induced in closed loop
Voltage and current are created in a way to opposite any change in flux (notice the negative sign)

+ Flux can be varied by change in area or [equation] (Sect. 6.2.3)
[equation]
Note: the [equation] follows the right hand rule of the current

+ From stationary circuit with time varying field, we obtain modified Maxwell's equation for time varying field [equation]
Example 4.16: Induced voltage from a time varying magnetic field
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HW #23 Due 5/3/07
1. The plane z=0 separates air ([equation], [equation]) from iron ([equation], [equation]). a) Find [equation] in iron and the angle it make with the normal if [equation]A/m in air; and b) Find [equation] in air and the angle it make with the normal if [equation]A/m in iron.

2. Find the self inductance of the toroidal coils in problem 2a and 2b of HW 22.

Extra-Credit Problem 5.12 (page 225) (read example 4.12 on the web)
Notice that for the 2nd problem and extra-credit, you can determined M by identify the material that makes up the core.


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Last Modified: April 29, 2007
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