
What is Data Analytics?
What does a Data Analyst do? The job responsibilities of a Data Analyst are computerbased, and this work can be done remotely or inperson at the office. There can be meetings throughout the day, such as a quick meeting in the morning to discuss the current projects. It can be helpful to provide consistent updates…

Gauss’s Law in One Dimension and in Three Dimensions
Recall the following form of Gauss’s Law from this post: $ \frac{\partial}{\partial x} E_x + \frac{\partial}{\partial y} E_y + \frac{\partial}{\partial z} E_z = \frac{\rho}{\epsilon_0 \epsilon_r} $ One Dimension If a problem is “onedimensional” along the, say, $x$axis, one has $ \frac{\partial}{\partial x} E_x = \frac{\rho}{\epsilon_0 \epsilon_r} $ In words: the partial derivative with respect to $x$…

Gauss’s Law in Differential Form and Cartesian Coordinates
Gauss’s Law in Differential Form In differential form, Gauss’s Law is $ \vec{\nabla} \cdot \vec{E} = \frac{\rho}{\epsilon_0 \epsilon_r} $ The next part of this post attempts to demystify this law a bit. Description of Symbols The $\vec{\nabla}$ on the left is called ‘del’, and it can be written in terms of Cartesian unit vectors and…

Pi
Pi, or $\pi$, is commonly used in the context of circles in geometry. In particular, the circumference $C$ of a circle that has a diameter $d$ is $C = \pi d$. Also, the area $A$ of a circle with radius $r$ is $ A = \pi r^2$. Note that $2r = d$. This is how…