OpenStax University Physics/E&M/Magnetic Forces and Fields

$ℰ & ℳ$ (Vol. 2):Template:Spaces 5:Electric Charges and Fields Template:Spaces 6:Gauss's Law Template:Spaces 7:Electric Potential Template:Spaces 8:Capacitance Template:Spaces 9:Current and Resistance Template:Spaces 10:Direct-Current Circuits Template:Spaces 11:Magnetic Forces and Fields Template:Spaces 12:Sources of Magnetic Fields Template:Spaces 13:Electromagnetic Induction Template:Spaces 14:Inductance Template:Spaces 15:Alternating-Current Circuits Template:Spaces 16:Electromagnetic Waves

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Chapter 11

For quiz at QB/d_cp2.11

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$| \vec{a} \times \vec{b} |$ $= a b \sin θ \Leftrightarrow$ $(\vec{a} \times \vec{b})_{x} = (a_{y} b_{z} - a_{z} b_{y})$ , $(\vec{a} \times \vec{b})_{y} = (a_{z} b_{x} - a_{x} b_{z})$ , $(\vec{a} \times \vec{b})_{z} = (a_{x} b_{y} - a_{y} b_{x})$
Magnetic force: $\vec{F} = q \vec{v} \times \vec{B},$ $d \vec{F} = I \vec{d ℓ} \times \vec{B}$ .
${\vec{v}}_{d} = \vec{E} \times \vec{B} / B^{2}$ =EXB drift velocity
Circular motion (uniform B field): $r = \frac{m v}{q B} .$ Period= $T = \frac{2 π m}{q B} .$

Dipole moment= $\vec{μ} = N I A \hat{n}$ . Torque= $\vec{τ} = \vec{μ} \times \vec{B}$ . Stored energy= $U = \vec{μ} \cdot \vec{B}$ .
Hall field = $E = V / ℓ = B v_{d} = \frac{I B}{n e A}$
Lorentz force = $q (\vec{E} + \vec{v} \times \vec{B})$

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OpenStax University Physics/E&M/Magnetic Forces and Fields

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Chapter 11

For quiz at QB/d_cp2.11

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OpenStax University Physics/E&M/Magnetic Forces and Fields

Chapter 11

For quiz at QB/d_cp2.11

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