Cheat Sheet

Gauss's Law

Definition of electric flux, for uniform electric field

$$ \Phi_E = \vec{E} \cdot \vec{A} \rightarrow \Phi_E = E A \cos(\theta) $$

Where

• $\Phi_E$ is the electric flux.
• $\vec{E}$ is the electric field.
• $\vec{A}$ is the area vector.
• $E$ is the magnitude of the electric field.
• $A$ is the magnitude of the area vector.
• $\theta$ is the angle between the electric field and the area vector.

Gauss's Law states that:

$$ \Phi_E = \frac{q_{\text{enc}}}{\varepsilon_0} $$

Where

• $\Phi_E$ is the electric flux through the gaussian surface.
• $q_{\text{enc}}$ is the charge enclosed by the gaussian surface.

In cases where the electric field is constant and perpendicular to the surface, the electric flux is:

$$ \Phi_E = E * A $$

Where

• $E$ is the magnitude of the electric field.
• $A$ is the magnitude of the area vector.

TI-Nspire Constants and Values

Link: TI-Nspire™ CX Reference Guide > Constants and Values

Warning: The identifier _g is defined as the standard acceleration of gravity, not a gram. To use grams, use the identifier _gm instead.