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howto:conceptual_electronics_videos [2020/11/01 16:13] – va7fi | howto:conceptual_electronics_videos [2020/11/01 16:14] – va7fi |
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^Name ^ Math ^Description ^Pictures | | ^Name ^ Math ^Description ^Pictures | |
|Gauss' Law | \$$\vec{\nabla} \cdot <fc #9400d3>\vec{E}</fc> = \frac{<fc #ff0000>\rho</fc>}{\varepsilon_0}\$$ |An <fc #ff0000>electric charge, \$\rho\$</fc>, creates an <fc #9400d3>electric field, \$\vec{E}\$</fc>, that points away from the charge and "disperses" to infinity|{{:howto:maxwell1.png?200}}| | |Gauss' Law | \$$\vec{\nabla} \cdot \vec{E} = \frac{\rho}{\varepsilon_0}\$$ |An <fc #ff0000>electric charge, \$\rho\$, creates an <fc #9400d3>electric field, \$\vec{E}\$</fc>, that points away from the charge and "disperses" to infinity|{{:howto:maxwell1.png?200}}| |
|Gauss' Law of Magnetism | \$$\vec{\nabla} \cdot \vec{B} = 0\$$ | A <fc #008000>magnetic field, \$\vec{B}\$</fc>, can not "disperse" to infinity the way an electric field can. Instead, magnetic field lines loop onto themselves. In other words: "magnetic charges" don't exist the way electric charges do. |{{:howto:maxwell2.png?200}}| | |Gauss' Law of Magnetism | \$$\vec{\nabla} \cdot \vec{B} = 0\$$ | A <fc #008000>magnetic field, \$\vec{B}\$</fc>, can not "disperse" to infinity the way an electric field can. Instead, magnetic field lines loop onto themselves. In other words: "magnetic charges" don't exist the way electric charges do. |{{:howto:maxwell2.png?200}}| |
|Faraday's Law of Induction | \$$\vec{\nabla} \times <fc #9400d3>\vec{E}</fc> = -\frac{\partial \vec{B}}{\partial t}\$$ |A <fc #008000>changing magnetic field, \$\vec{B}\$</fc>, creates a <fc #9400d3>"curly" electric field, \$\vec{E}\$</fc> and vice-versa. |{{:howto:maxwell3.png?200}}| | |Faraday's Law of Induction | \$$\vec{\nabla} \times <fc #9400d3>\vec{E}</fc> = -\frac{\partial \vec{B}}{\partial t}\$$ |A <fc #008000>changing magnetic field, \$\vec{B}\$</fc>, creates a <fc #9400d3>"curly" electric field, \$\vec{E}\$</fc> and vice-versa. |{{:howto:maxwell3.png?200}}| |