Browse Electricity Formulas
Begin your study of electricity by exploring the core formulas that define the interactions between charges. Understand how to calculate the force between particles with Coulomb's Law and visualize their influence using electric field concepts. Delve into the energy aspects with electric potential and learn how devices like capacitors store this energy for practical use.
Coulomb's Law
This page explains Coulomb's Law, used to calculate the electrostatic force of attraction or repulsion between two stationary point charges.
Electric Fields
Formulas to find the electric field from point charges, the force on a charge in a field, and the resultant field from multiple sources.
The Principle Of Superposition For Electric Fields
Calculate the net electric field from multiple charges by vector summing the field created by each individual charge or charge element.
Work Of Electric Force
Calculates the energy transferred when a charge moves through an electric field, used to solve problems involving electric potential energy.
Electric Potential Difference
This page covers the formula for electric potential difference, used to calculate the voltage between two points based on work and charge.
Relation Between E And U
This page covers the fundamental relationship between electric field and electric potential, used to find one quantity from the spatial gradient of the other.
Capacitance
This page covers formulas for calculating the ability of a capacitor to store charge, used when analyzing electric circuits and energy storage devices.
Capacitor
Formulas for calculating a capacitor's charge storage, stored energy, and the total capacitance of capacitors arranged in series or parallel circuits.
Capacitances In Series
This page provides the formula to calculate the total equivalent capacitance for multiple capacitors arranged sequentially in a single circuit path.
Capacitances In Parallel
Calculate the total equivalent capacitance for multiple capacitors connected in parallel by summing their individual capacitance values.
Electric Field Energy
Calculates the potential energy stored within an electric field, often used to analyze capacitors and charge distributions.
Energy Of Capacitor
This page provides formulas to calculate the electrical potential energy stored in a capacitor using its capacitance, voltage, or the charge it holds.
Electric Current
This page covers formulas defining electric current as the rate of charge flow and its relationship with voltage and resistance in simple circuits.
Ohm's Law
This page covers Ohm's Law and the electrical power formula, used to calculate the relationship between voltage, current, resistance, and power in circuits.
Work Created By A Current(joule's Law)
Joule's Law calculates the heat energy generated by an electric current flowing through a resistor, essential for analyzing power dissipation in circuits.
Resistance
This page covers formulas for calculating electrical resistance, used in circuit analysis to relate voltage, current, and material properties.
Series Circuits
Calculate total resistance, voltage, and current for components connected sequentially in a single path, forming a basic electrical circuit.
Parallel Circuits
Formulas to calculate equivalent resistance, voltage, and current distribution in circuits where components are connected across multiple paths.
Work Or Heat Energy Produced By A Resistor
Calculates the heat energy generated or work done by an electric current passing through a resistor, a concept known as Joule heating.
Power Consumption Of A Resisitor
Calculate the rate at which a resistor converts electrical energy into heat, essential for analyzing power dissipation in electrical circuits.
Electromotive Force Of An Electrical Generator
Calculate the voltage (EMF) produced by a generator by relating the changing magnetic flux to the induced current according to Faraday's law of induction.
Generators In Series
Calculate the total EMF, internal resistance, current, and terminal voltage for circuits where multiple generators are connected end-to-end.
Generators In Parallel
Calculate the equivalent EMF, internal resistance, and total current for circuits with multiple electrical generators connected in parallel.
Generators in Series-Parallel
These formulas calculate the total EMF and internal resistance for generators arranged in series-parallel groups to analyze complex circuit outputs.
Work And Power Of Generator
This page explains formulas for the electrical work and power produced by a generator, used to analyze energy conversion and system efficiency.
Magnetic Flux Through The Open Surface S
Calculates the total magnetic field passing through a given open surface, a key concept for understanding electromagnetic induction and Faraday's Law.
Magnetic Forces On Moving Charges
This page covers the Lorentz force law, used to calculate the magnetic force exerted on a charged particle moving through a magnetic field.
Force On A Current-Carrying Wire
Calculates the electromagnetic force on a wire carrying current within a magnetic field, including conditions for maximum and zero force.
Force Between 2 Parallel Current_carrying Wires
Calculates the magnetic force exerted between two parallel wires carrying electric currents, which can be either attractive or repulsive.
Magnetic Field Of A Long Current Charge Wire
Calculate the magnetic field strength at a specific distance from a long, straight wire carrying a steady electric current.
Magnetic Field Of A Loop
Calculate the magnetic field strength at the center or along the axis of a circular loop of wire carrying an electric current.
Induced Electromotive Force-Faraday's Law
This page covers Faraday's Law, used to calculate the voltage (EMF) induced in a circuit by a changing magnetic field.
Inductance
Formulas on this page describe inductance, which measures a circuit's ability to store magnetic energy and oppose changes in current.
Electric Energy
This page provides formulas to calculate the potential energy stored in capacitors and electric fields using voltage, charge, or energy density.
Magnetic Energy
Calculates the potential energy stored in a magnetic field, essential for analyzing circuits with inductors and electromagnetic systems.
Electric-Magnetic Energy
Calculates the total energy stored in electromagnetic fields by combining the energy densities of both the electric and magnetic fields.
Basic Parameters
Formulas define the core properties of AC signals and waves, like amplitude, frequency, and wavelength, used to analyze their fundamental behavior.
Effective Current And Voltage
Calculate the effective (RMS) values of AC current and voltage to find the equivalent DC values for power calculations in circuits.
Ohm's Law Of AC Current containing Only Resistance R
This page covers Ohm's Law (V=IR) for purely resistive AC circuits, a foundational concept for analyzing circuits where current and voltage are in phase.
Containing Only Inductor L
Formulas for AC circuits with an inductor, covering inductive reactance, Ohm's law, complex impedance, and energy stored in its magnetic field.
Containing Only Capacitor C
These formulas describe the behavior of a capacitor in an AC circuit, calculating its opposition to current (reactance) and its current-voltage relationship.
Containing R,L And C In A Series
Calculate the total opposition (impedance) to AC current in a circuit with a resistor, inductor, and capacitor connected in series.
Phase Angle
The phase angle formula calculates the phase difference between voltage and current in an AC circuit, indicating the balance between resistance and reactance.
Power Factor
Find formulas for calculating the power factor, a key metric students use to assess the efficiency of power usage in alternating current (AC) circuits.
Real Power
Calculate the useful, work-performing power in an AC circuit using formulas for voltage, current, resistance, apparent power, or three-phase loads.
Electrical Resonance
Formulas for calculating resonant frequency, quality factor, and bandwidth in AC circuits where inductive and capacitive reactances are equal.
Changing voltage With Transformers
Calculate how transformers step-up or step-down AC voltage by relating the voltage ratio to the ratio of turns in the primary and secondary coils.
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📖 Bookmark This PageEssential Electricity Concepts
⚡️ Electric Charge
Electric charge is the fundamental physical property of matter that causes it to experience a force when placed in an electromagnetic field. It comes in two types, positive and negative, where like charges repel and opposite charges attract.
🌐 Electric Field
An electric field is a vector field surrounding an electric charge that exerts a force on other charges brought into it. It is defined as the electric force per unit charge and its lines point away from positive charges and towards negative charges.
🔋 Electric Potential
Electric potential is the amount of work energy needed to move a unit of electric charge from a reference point to a specific point in an electric field. The difference in electric potential between two points is known as voltage.
📦 Capacitance
Capacitance is the ability of a system to store an electric charge, measured in Farads (F). It is the ratio of the change in an electric charge in a system to the corresponding change in its electric potential.
Electricity Study Tips
Visualize Field Lines
Always sketch the electric field lines for a given charge distribution to gain an intuitive understanding of the field's direction and strength. Remember that the density of the lines indicates the magnitude of the field.
Master Vector Addition
Electric forces and fields are vector quantities, so the principle of superposition requires careful vector addition. Break down vectors into their components before adding them to find the net field or force.
Distinguish Potential from Potential Energy
Remember that electric potential is a property of a point in space (energy per charge), while electric potential energy is a property of a charge at that point. This distinction is crucial for solving work-energy problems.
Connect Series and Parallel Rules
The rules for combining capacitors are the opposite of those for resistors. Capacitors in parallel add directly, while the reciprocals of capacitors in series are added.
Real-World Applications
Modern Electronics
Capacitors are essential components in virtually every electronic device, used for timing circuits, filtering power supplies, and storing energy. The principles of electric fields govern the operation of transistors, the building blocks of computer chips.
Capacitive Touchscreens
Your smartphone screen uses the principles of capacitance to detect your touch. Your finger alters the local electric field between a grid of tiny capacitors, and the device's processor calculates the precise location of the touch.
Medical Devices
Defibrillators use a large capacitor to store a significant electric charge, which is then delivered to a patient to restore a normal heart rhythm. Electrocardiograms (ECG) measure the electric potential differences created by the heart's muscle contractions.
Industrial Manufacturing
Electrostatic principles are used in industrial processes like powder coating, where paint particles are given an electric charge so they are attracted to a grounded object. This creates a uniform and durable finish while minimizing waste.
Quick Reference Guide
The formulas in electricity are fundamental to physics and engineering, providing the mathematical tools to analyze and design everything from microchips to power grids. Understanding these relationships between charge, field, potential, and energy is essential for any technical discipline.
Frequently Asked Questions
Electric force is the push or pull between two specific charges, as described by Coulomb's Law. An electric field is a property of space created by a source charge, representing the force that *would* be exerted per unit of a positive test charge placed at any point.
A capacitor stores energy in the electric field created between its two conductive plates when they hold opposite charges. Work is done to separate these charges, and this work is stored as electric potential energy in the field.
Electric potential represents energy per unit charge, and energy is a scalar quantity, meaning it has magnitude but no direction. This simplifies many problems, as you can simply add potential values algebraically without needing vector components.
The principle of superposition states that the total electric field at any point due to a group of charges is the vector sum of the electric fields created by each individual charge. This allows complex charge distributions to be analyzed by considering one charge at a time.
The electric field is related to how rapidly the electric potential changes over space; specifically, it is the negative gradient of the potential. A strong electric field exists in regions where the potential changes quickly, and the field points in the direction of the steepest decrease in potential.
The standard formula C = ε₀A/d is an idealization that applies best when the distance between the plates (d) is much smaller than the dimensions of the plates (A). It assumes the electric field is uniform between the plates and ignores 'fringing' effects at the edges.