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Showing 24 of 258 formulas Page 7 of 11

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

Displacement in SHM

Physics β†’ Mechanics β†’ Oscillations β†’ Simple Harmonic Motion
$$x = A \cos(\omega t + \phi)$$
Position of an oscillating mass at any time $t$.
πŸ“– Physics πŸ“š Oscillations

Work Done in Adiabatic Process

Physics β†’ Thermodynamics β†’ Thermodynamic Processes β†’ Adiabatic Work
$$W = \frac{P_1V_1 - P_2V_2}{\gamma - 1}$$
Calculates the work done by or on an ideal gas when no heat is exchanged with the surroundings.
πŸ“– Physics πŸ“š Thermodynamic Processes

Young's Double Slit Experiment (Fringe Width)

Physics β†’ Optics β†’ Wave Optics β†’ Interference
$$\beta = \frac{\lambda D}{d}$$
The distance between two consecutive bright or dark fringes on a screen.
πŸ“– Physics πŸ“š Wave Optics

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

Molar Heat Capacity at Constant Volume

Physics β†’ Thermodynamics β†’ Kinetic Theory β†’ Specific Heat
$$C_v = \frac{f}{2}R$$
The amount of heat required to raise the temperature of one mole of gas by one degree at constant volume.
πŸ“– Physics πŸ“š Kinetic Theory

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

Moment of Inertia (Solid Sphere)

Physics β†’ Mechanics β†’ Rotational Motion β†’ Moment Of Inertia
$$I = \frac{2}{5}MR^2$$
The rotational equivalent of mass for a uniform solid sphere rotating about its diameter.
πŸ“– Physics πŸ“š Rotational Motion

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

Wien's Displacement Law

Physics β†’ Thermodynamics β†’ Heat Transfer β†’ Radiation
$$\lambda_{max} T = b$$
States that the blackbody radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature.
πŸ“– Physics πŸ“š Heat Transfer

Escape Velocity (Planetary)

Physics β†’ Mechanics β†’ Gravitation β†’ Planetary Motion
$$v_e = \sqrt{\frac{2GM}{R}}$$
The minimum speed needed for an object to break free from the gravitational attraction of a massive body.
πŸ“– Physics πŸ“š Gravitation

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

Law of Malus (Polarization)

Physics β†’ Optics β†’ Wave Optics β†’ Polarization
$$I = I_0 \cos^2 \theta$$
Relates the intensity of a beam of polarized light transmitted through a second polarizer to the angle between the transmission axes.
πŸ“– Physics πŸ“š Wave Optics

Work Done by Variable Force

Physics β†’ Mechanics β†’ Work and Energy β†’ Work
$$W = \int_{x_1}^{x_2} F(x) \, dx$$
Calculates the work when the applied force changes with position.
πŸ“– Physics πŸ“š Work and Energy

Moment of Inertia (Thin Rod)

Physics β†’ Mechanics β†’ Rotational Motion β†’ Moment Of Inertia
$$I = \frac{1}{12}ML^2$$
The rotational inertia of a uniform thin rod rotating about an axis through its center perpendicular to its length.
πŸ“– Physics πŸ“š Rotational Motion

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

Law of Conservation of Momentum

Physics β†’ Mechanics β†’ Laws of Motion β†’ Collisions
$$m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2$$
In an isolated system, the total momentum remains constant during a collision.
πŸ“– Physics πŸ“š Laws of Motion

Power of a Lens

Physics β†’ Optics β†’ Ray Optics β†’ Lenses
$$P = \frac{1}{f}$$
The measure of the degree of convergence or divergence of light rays by a lens.
πŸ“– Physics πŸ“š Ray Optics

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

Gravitational Force (Vector Form)

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$\vec{F} = -G \frac{m_1 m_2}{r^2} \hat{r}$$
Newton's universal law of gravitation, including the direction of force (attractive).
πŸ“– Physics πŸ“š Gravitation

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
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