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ece106: add fields

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eggy 2023-01-20 11:03:51 -05:00
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@ -180,13 +180,15 @@ $$\vec F_{12}=k\frac{Q_1Q_2}{||R_{12}||^2}\hat{R_{12}}$$
An **electric dipole** is composed of two equal but opposite charges $Q$ separated by a distance $d$. The dipole moment is the product of the two, $Qd$. An **electric dipole** is composed of two equal but opposite charges $Q$ separated by a distance $d$. The dipole moment is the product of the two, $Qd$.
The charge experienced by a positive test charge along the dipole line can be reduced to: The charge experienced by a positive test charge along the dipole line can be reduced to as the ratio between the two charges decreases to the point that they are basically zero:
$$\vec F_q=\hat x\frac{2kQdq}{||\vec x||^3}$$ $$\vec F_q=\hat x\frac{2kQdq}{||\vec x||^3}$$
### Maxwell's theorems ## Maxwell's theorems
Compared to Coulomb's law, $Q_1$ creates an electric field around itself — each point in space is assigned a vector that depends on the distance away from the charge. $Q_2$ *interacts* with the field. According to Maxwell, as a charge moves, it emits a wave that carries information to other charges. Compared to Coulomb's law, $Q_1$ creates an electric field around itself — each point in space is assigned a vector that depends on the distance away from the charge. $Q_2$ *interacts* with the field. According to Maxwell, as a charge moves, it emits a wave that carries information to other charges.
The **electric field strength** $\vec E$ is the force per unit *positive* charge at a specific point: The **electric field strength** $\vec E$ is the force per unit *positive* charge at a specific point $p$:
$$\vec E=\frac{\vec{F}}{q}$$ $$\vec E_p=\lim_{q\to 0}\frac{\vec{F}}{q}$$
Please see [SL Physics 1#Electric potential](/sph3u7/#electric-potential) for more information.