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Showing 24 of 39 formulas Page 1 of 2

Coulomb's Law

$$F = k_e \frac{q_1 q_2}{r^2}$$

Calculates the electrostatic force between two point charges.

📖 Physics 📚 Electrostatics

Ohm's Law

States that the current through a conductor is proportional to the voltage across it.

📖 Physics 📚 Current Electricity

Capacitance Formula

$$C = \frac{Q}{V}$$

Defines the ability of a body to store an electrical charge.

📖 Physics 📚 Capacitors

Faraday's Law of Induction

$$\mathcal{E} = -N \frac{d\Phi_B}{dt}$$

Predicts how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF).

📖 Physics 📚 Electromagnetic Induction

Power in Electrical Circuits

The rate at which electrical energy is transferred by an electric circuit.

📖 Physics 📚 Current Electricity

Capacitive Reactance

$$X_C = \frac{1}{2\pi f C}$$

Opposition to change in voltage in an alternating current circuit.

📖 Physics 📚 AC Circuits

Capacitance of Parallel Plate

$$C = \frac{\epsilon_0 A}{d}$$

Calculates the storage capacity of a parallel plate capacitor.

📖 Physics 📚 Capacitance

Faraday's Law

$$\mathcal{E} = -\frac{d\Phi}{dt}$$

📖 Physics 📚 Induction

Coulomb's Law in Dielectrics

$$F = \frac{1}{4\pi\epsilon_0\epsilon_r} \frac{q_1q_2}{r^2}$$

Calculates the electrostatic force between two charges when placed in a dielectric medium.

📖 Physics 📚 Electrostatics

Magnetic Force on a Moving Charge

$$F = qvB \sin \theta$$

Calculates the force exerted by a magnetic field on a particle with charge $q$ moving with velocity $v$.

📖 Physics 📚 Magnetic Effects of Current

Ohm's Law (Microscopic Form)

$$\vec{J} = \sigma \vec{E}$$

Relates current density to the electric field within a conductor.

📖 Physics 📚 Current Electricity

Biot-Savart Law (Infinite Wire)

$$B = \frac{\mu_0 I}{2\pi r}$$

Calculates the magnetic field at a distance $r$ from an infinitely long straight wire.

📖 Physics 📚 Magnetism

Self-Inductance of a Solenoid

$$L = \frac{\mu_0 N^2 A}{l}$$

Calculates the inductance of a long solenoid.

📖 Physics 📚 Induction

Coulomb's Constant Formula

$$k_e = \frac{1}{4\pi\epsilon_0}$$

Relates the SI units of charge to the electrostatic force.

📖 Physics 📚 Electrostatics

Ampere's Circuital Law

$$\oint \vec{B} \cdot d\vec{l} = \mu_0 I_{\text{enc}}$$

Relates the integrated magnetic field around a closed loop to the electric current passing through the loop.

📖 Physics 📚 Magnetism

Magnetic Flux

$$\Phi_B = BA \cos \theta$$

A measure of the total magnetic field passing through a given surface area.

📖 Physics 📚 Induction

Capacitors in Series

$$\frac{1}{C_{eq}} = \sum \frac{1}{C_i}$$

Calculates the total capacitance of multiple capacitors connected in a single path.

📖 Physics 📚 Capacitance

Resistivity Formula

$$R = \rho \frac{L}{A}$$

Relates electrical resistance to the physical dimensions and material property of a conductor.

📖 Physics 📚 Current Electricity

Magnetic Force on a Current-Carrying Wire

$$F = BIl \sin \theta$$

Force exerted on a conductor carrying current in a magnetic field.

📖 Physics 📚 Magnetism

Inductive Reactance

$$X_L = 2\pi f L$$

The opposition that an inductor offers to the flow of alternating current.

📖 Physics 📚 AC Circuits

Biot-Savart Law

$$d\vec{B} = \frac{\mu_0}{4\pi} \frac{I d\vec{l} \times \hat{r}}{r^2}$$

Describes the magnetic field generated by a constant electric current.

📖 Physics 📚 Moving Charges And Magnetism

Magnetic Force on Charge

$$F = qvB \sin \theta$$

Force exerted on a moving point charge in a magnetic field.

📖 Physics 📚 Moving Charges

Power in AC Circuits

$$P = V_{rms} I_{rms} \cos \phi$$

Real power consumed in an AC circuit with a phase difference.

📖 Physics 📚 Alternating Current

Kirchhoff's Current Law (KCL)

$$\sum I_{in} = \sum I_{out}$$

The total current entering a junction is equal to the total current leaving the junction.

📖 Physics 📚 Current Electricity

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