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Showing 15 of 39 formulas Page 2 of 2

Parallel Resistors

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Circuit Combinations
$$\frac{1}{R_{eq}} = \sum \frac{1}{R_i}$$
Calculates total resistance when current has multiple paths.
πŸ“– Physics πŸ“š Current Electricity

Kirchhoff's Voltage Law (KVL)

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Circuit Laws
$$\sum V = 0$$
The algebraic sum of all electrical potential differences around any closed network (loop) is zero.
πŸ“– Physics πŸ“š Current Electricity

Electric Potential of Point Charge

Physics β†’ Electromagnetism β†’ Electrostatics β†’ Potential
$$V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$$
The work done per unit charge in bringing a positive test charge from infinity to a point.
πŸ“– Physics πŸ“š Electrostatics

Lorentz Force Law (Total)

Physics β†’ Electromagnetism β†’ Moving Charges β†’ Forces
$$\vec{F} = q(\vec{E} + \vec{v} \times \vec{B})$$
The total force acting on a point charge moving through both electric and magnetic fields.
πŸ“– Physics πŸ“š Moving Charges

Phase Angle in LCR Circuit

Physics β†’ Electromagnetism β†’ AC Circuits β†’ Phase Relations
$$\tan \phi = \frac{X_L - X_C}{R}$$
The angle by which the current lags or leads the voltage in an alternating current circuit.
πŸ“– Physics πŸ“š AC Circuits

Coulomb's Law in Media

Physics β†’ Electromagnetism β†’ Electrostatics β†’ Electric Force
$$F = \frac{1}{4\pi\epsilon_0 K} \frac{q_1 q_2}{r^2}$$
The force between two point charges placed in a dielectric medium.
πŸ“– Physics πŸ“š Electrostatics

Resonance Frequency (LCR)

Physics β†’ Electromagnetism β†’ AC Circuits β†’ Resonance
$$f_r = \frac{1}{2\pi\sqrt{LC}}$$
The frequency at which the inductive and capacitive reactances cancel each other, allowing maximum current.
πŸ“– Physics πŸ“š AC Circuits

Magnetic Potential Energy

Physics β†’ Electromagnetism β†’ Magnetism β†’ Dipoles
$$U = -\vec{m} \cdot \vec{B} = -mB \cos \theta$$
The energy of a magnetic dipole (like a compass needle) in an external magnetic field.
πŸ“– Physics πŸ“š Magnetism

Electric Flux (Gauss's Law)

Physics β†’ Electromagnetism β†’ Electrostatics β†’ Flux
$$\Phi_E = \oint \vec{E} \cdot d\vec{A} = \frac{q_{enc}}{\epsilon_0}$$
The net electric flux through any closed surface is equal to the net charge enclosed by the surface divided by $\epsilon_0$.
πŸ“– Physics πŸ“š Electrostatics

Force between Parallel Currents

Physics β†’ Electromagnetism β†’ Moving Charges β†’ Magnetic Force
$$F/l = \frac{\mu_0 I_1 I_2}{2\pi d}$$
Force per unit length between two infinitely long, parallel current-carrying wires.
πŸ“– Physics πŸ“š Moving Charges

Inductance of a Long Solenoid

Physics β†’ Electromagnetism β†’ Induction β†’ Self Inductance
$$L = \frac{\mu_0 N^2 A}{l}$$
Calculates the self-inductance of an air-core solenoid.
πŸ“– Physics πŸ“š Induction

Average Power (DC)

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Power
$$P = VI = I^2R = \frac{V^2}{R}$$
The rate at which electrical energy is converted into other forms (like heat).
πŸ“– Physics πŸ“š Current Electricity

Coulomb's Law (Vector Form)

Physics β†’ Electromagnetism β†’ Electric Charges and Fields β†’ Electrostatics
$$\vec{F} = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r^2} \hat{r}$$
Force between two point charges in vacuum.
πŸ“– Physics πŸ“š Electric Charges and Fields

Gauss's Law

Physics β†’ Electromagnetism β†’ Electric Charges and Fields β†’ Electric Flux
$$\oint \vec{E} \cdot d\vec{A} = \frac{q_{in}}{\epsilon_0}$$
Total electric flux through a closed surface is $1/\epsilon_0$ times the net charge enclosed.
πŸ“– Physics πŸ“š Electric Charges and Fields

Energy Stored in Capacitor

Physics β†’ Electromagnetism β†’ Electrostatic Potential and Capacitance β†’ Capacitors
$$U = \frac{1}{2}CV^2 = \frac{1}{2}QV$$
Potential energy stored in the electric field of a capacitor.
πŸ“– Physics πŸ“š Electrostatic Potential and Capacitance
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