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| howto:conceptual_electronics_videos [2020/11/01 16:14] – [Conceptual Electronics Videos] va7fi | howto:conceptual_electronics_videos [2020/11/01 16:15] (current) – old revision restored (2020/10/31 23:32) va7fi |
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| * Red particles are <fc #ff0000>positive</fc> charges | * Red particles are <fc #ff0000>positive</fc> charges |
| * Blue particles are <fc #4682b4>negative</fc> charges | * Blue particles are <fc #4682b4>negative</fc> charges |
| * Purple arrows are <fc #9400d3>electric</fc> fields | * Purple arrows are <fc #800080>electric</fc> fields |
| * Green arrows are <fc #008000>magnetic</fc> fields. | * Green arrows are <fc #008000>magnetic</fc> fields. |
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| |<100% - 17em - >| | |<100% - 17em - >| |
| ^Name ^ Math ^Description ^Pictures | | ^Name ^ Math ^Description ^Pictures | |
| |Gauss' Law | \$$\vec{\nabla} \cdot \vec{E} = \frac{\rho}{\varepsilon_0}\$$ |An <fc #ff0000>electric charge</fc>, \$\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 | \$$\vec{\nabla} \cdot \vec{E} = \frac{\rho}{\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 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 \vec{E} = -\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}}| |
| |Ampere's Law| \$$\vec{\nabla} \times \vec{B} = \mu_0 \Big(\vec{J} + \varepsilon_0 \frac{\partial \vec{E}}{\partial t} \Big)\$$ |An <fc #ff0000>electric current, \$\vec{J}\$</fc>, and/or a <fc #9400d3>changing electric field, \$\vec{E}\$</fc>, creates a <fc #008000>"curly" magnetic field, \$\vec{B}\$</fc>|{{:howto:maxwell4.png?200}}| | |Ampere's Law| \$$\vec{\nabla} \times \vec{B} = \mu_0 \Big(\vec{J} + \varepsilon_0 \frac{\partial \vec{E}}{\partial t} \Big)\$$ |An <fc #ff0000>electric current, \$\vec{J}\$</fc>, and/or a <fc #9400d3>changing electric field, \$\vec{E}\$</fc>, creates a <fc #008000>"curly" magnetic field, \$\vec{B}\$</fc>|{{:howto:maxwell4.png?200}}| |
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