The Class Notes

4 jan 2010

$L i m i t A \to \infty :$

$X_{0} = \frac{1}{β} X_{s} \Rightarrow V_{0} = \frac{R_{1} + R_{2}}{R_{1}} V_{i n}$

$X_{i} = 0$

Picture drawn by Kirk Betz based on drawing by Dr. Frohnes, lecture Jan. 4, 2010

$V_{i n} = V_{0} (\frac{R_{1}}{R_{1} + R_{2}})$ .

$V_{0} = \frac{1}{(\frac{R_{1}}{R_{1} + R_{2}})} V_{i n}$

Magnetic Circuits

jan 6 2010

$\vec{F} = q \vec{v} \times \vec{B}$

$d \vec{F} = I d \vec{l} \times \vec{B}$

$ℱ = H l_{1} + H l_{2}$

$V = R_{1} I + R_{2} I$

Picture drawn by Kirk Betz based on drawing by Dr. Frohnes, lecture Jan. 6, 2010

$\int \vec{H} d \vec{l} = ℱ$

$\oint \vec{H} d \vec{l} = N i = \sum_{n} H l + N i = 0$

$\oint \vec{B} d \vec{s} = 0$

$\int \vec{B} d \vec{s} = ϕ \approx B A_{r e a} M a g n e t i c F l u x$

$ℛ \equiv R e l u c t a n c e \frac{ℱ}{ϕ} = \frac{N i}{ϕ}$

$\vec{B} = μ \vec{H} A s s u m e s L i n e a r i t y$

$ℛ \frac{l}{μ A}$