1)

$ F = q (\bar{E} + \cancelto{0}{\bar{\mu}\times\bar{B}} ) = qE $

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$ \bar{p} = q\bar{d} $

$ V_1 - V_2 = -\int_1^2\bar{E}\cdot d\bar{l} = 10,000\hspace{2cm} D= \epsilon\bar{E} = \epsilon_0\bar{E} + \bar{p} $

$ -E_zl = 10,000 $

$ \bar{E} = - \frac{10,000}{l}\hat{z} $

$ \bar{F} = - \frac{10,000q}{l}\hat{z} $


2)

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$ P = VI = I^2R = \frac{V^2}{R} $

$ F = q(\bar{E} + \bar{\mu} \times\bar{B} ) = 0 $

$ \bar{E} = \frac{-\bar{\mu}\times\bar{B}}{q} = \frac{-\bar{v}\times\bar{B}}{q}\leftarrow\hat{z} $

$ \nabla\times\bar{H} = j\omega\epsilon\bar{E}+\bar{J} $

$ V_1 - V_2 = -\int_1^2\bar{E}\cdot d\bar{l} = \frac{-d}{q}|\bar{v}\times\bar{B}|^2 $

$ p = \frac{d^2}{q^2}|\bar{v}\times\bar{B}| $

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett