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ece106: add dipoles

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eggy 2023-01-16 21:24:04 -05:00
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@ -136,6 +136,8 @@ The formula for the **moment of inertia** of an object is as follows, where $r_\
$$dI=(r_\perp)^2dm$$
If the axis of rotation is perpendicular to the plane of the object, $r_\perp=r$. If the axis is parallel, $r_\perp$ is the shortest distance to the axis. Setting an axis along the axis of rotation is easier.
!!! example
In a uniformly distributed disk rotating about the origin like a CD with mass $M$ and radius $R$:
@ -167,3 +169,11 @@ Please see [SL Physics 1#Charge](/sph3u7/#charge) for more information.
**Coulomb's law** states that for point charges $Q_1, Q_2$ with distance from the first to the second $\vec R_{12}$:
$$\vec F_{12}=k\frac{Q_1Q_2}{||R_{12}||^2}\hat{R_{12}}$$
### Dipoles
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:
$$\vec F_q=\hat x\frac{2kQdq}{||\vec x||^3}$$