Ultimate Electrical Engineering Calculator
This app provides a comprehensive suite of tools for electrical engineering calculations. Whether you’re working with basic circuits, power systems, or transformers, the app aims to simplify complex equations and enhance your workflow.
Features include tools for calculating:
- Basic Circuits: Ohm’s Law, series and parallel resistors
- Power: Power factor, power losses
- Transformers: EMF, voltage regulation, impedance
- Other: Back EMF, time constants
Download, Copy or Print your calculations when your finished. Thank you for using the AIExpert.world Electrical Engineering Calculator.
Formulas were sourced and organized with ChatGPT 4o. This App was coded with ChatGPT o1-mini, ChatGPT o1-preview, Gemini Advanced.
Let us know in the comments if we missed anything or any features you would like to see added.
⚡ Electrical Engineering Calculator ⚡
Welcome to the Ohm's Law Calculator!
This tool allows you to calculate the missing parameter in an electrical circuit when you know any two of the following: Voltage (V), Current (I), Resistance (R), or Power (P). Enter any two values, and then press "Calculate" to find the missing values based on Ohm's Law and power formulas.
Enter any two parameters and press "Calculate".
Ohm’s Law relates voltage, current, resistance, and power in an electrical circuit. ℹ️ Voltage (V) = Volts, Current (I) = Amperes, Resistance (R) = Ohms, Power (P) = Watts
Welcome to the Power Calculation Tool!
This calculator helps you determine the electrical power (P) in a circuit using Voltage (V) and Current (I). Enter the known values, and the tool will compute the power based on the formula: P = V × I.
Ensure to input both Voltage and Current to calculate the Power.
Power Calculation determines the electrical power in a circuit. 🔍 Power (P) = Watts (W), Voltage (V) = Volts (V), Current (I) = Amperes (A)
Welcome to the Combined Series & Parallel Resistors Calculator!
This tool allows you to calculate the total resistance of a circuit with resistors arranged in both series and parallel configurations. You can add multiple resistors, specify their values with different units, and toggle each resistor between series and parallel connections. Enter the resistor values, select their configurations, and obtain the total resistance of your circuit.
Use the "Add Resistor" button to include more resistors. Toggle each resistor's connection type between Series and Parallel.
Welcome to the Time Constants Calculator!
This tool calculates the time constants for RC (resistor-capacitor) and RL (resistor-inductor) circuits. By entering the values of resistance, capacitance, and inductance, you can determine how quickly the circuit responds to changes in voltage or current. Use this calculator to analyze the transient behavior of electrical circuits in various applications.
RL Time Constant (τ_RL): N/A s
Welcome to the AC Power Calculator!
This tool calculates the electrical power in single-phase and three-phase AC circuits. By selecting the type of AC circuit and entering the relevant RMS voltage, RMS current, and power factor values, you can determine the total power consumption of your system. For three-phase systems, please use the line-to-line RMS voltage. Whether you're working on residential wiring or industrial power systems, this calculator assists in accurate power analysis and efficient energy management.
Welcome to the Power Factor Calculator!
This tool calculates the power factor of an AC circuit by analyzing the relationship between active power and apparent power. By entering the active power (in watts) and apparent power (in volt-amperes), the calculator determines the power factor (cosϕ). Understanding the power factor is essential for optimizing electrical systems, improving energy efficiency, and reducing energy losses in various applications.
Welcome to the Reactance Calculator!
This tool calculates both capacitive and inductive reactance in an AC circuit. By inputting the frequency, capacitance, and inductance values, the calculator determines the reactance caused by capacitors (Xc) and inductors (Xl). Understanding reactance is crucial for analyzing the impedance components of your circuit, designing filters, and optimizing signal processing applications.
Inductive Reactance (Xl): N/A Ω
Welcome to the Impedance Calculator!
This tool calculates the total impedance in an AC circuit by combining resistance and reactance. By entering the resistance (R) and reactance (X) values, the calculator provides the complex impedance (Z) and its magnitude. Understanding impedance is essential for designing and analyzing AC circuits, ensuring proper component matching, and maintaining signal integrity in various electrical applications.
Magnitude |Z|: N/A Ω
Welcome to the Voltage Regulation Calculator!
This tool calculates voltage regulation in power systems by comparing the no-load and full-load voltages. By inputting the no-load voltage (E2) and full-load voltage (V2), the calculator determines the voltage regulation percentage. Understanding voltage regulation is crucial for maintaining stable voltage levels in electrical distribution, ensuring reliable power delivery, and optimizing the performance of electrical equipment.
Welcome to the Power Losses Calculator!
This tool evaluates various power losses in electrical systems, including copper losses, hysteresis losses, and eddy current losses. By entering parameters such as current, resistance, efficiency, flux density, frequency, thickness, volume, and material constants, the calculator computes each type of power loss. Use this calculator to optimize system efficiency, minimize energy wastage, and enhance the performance of electrical devices and components.
Hysteresis Loss (P_h): N/A W
Eddy Current Loss (P_e): N/A W
Welcome to the Back EMF Calculator!
This tool calculates the back electromotive force (EMF) in DC machines. By providing inputs such as flux (φ), speed (N), number of armature conductors (Z), and parallel paths (A), the calculator determines the back EMF generated in the motor or generator. Understanding back EMF is vital for motor control, efficiency analysis, and designing effective electromechanical systems.
Welcome to the Synchronous Speed Calculator!
This tool determines the synchronous speed of an AC motor based on the supply frequency and the number of poles. By entering the frequency (in Hz) and the number of poles, the calculator computes the synchronous speed in RPM. Knowing the synchronous speed is essential for selecting and operating motors in various industrial applications, ensuring they run efficiently and at the desired speeds.
Welcome to the Transformer EMF Calculator!
This tool calculates the electromotive force (EMF) induced in transformers using the maximum flux, frequency, and number of turns. By inputting these parameters, the calculator determines the induced EMF, aiding in the design and analysis of transformer performance. Accurate EMF calculation ensures efficient energy transfer between transformer windings, optimizing transformer functionality in electrical systems.
Welcome to the Turns Ratio Calculator!
This tool computes the turns ratio (a) of a transformer based on the relationship between primary and secondary EMF (E), number of turns (N), voltage (V), and current (I). By entering any two corresponding values, you can determine the turns ratio using the formula:
Accurate turns ratio calculation is essential for achieving desired electrical characteristics in transformer applications.
Welcome to the Op-Amp Gain Calculator!
This tool calculates the voltage gain of an operational amplifier (Op-Amp) in the inverting amplifier configuration. By entering the feedback resistance (Rf) and input resistance (Rin), the calculator determines the voltage gain (Av) based on the formula:
Use this calculator to design and analyze inverting amplifier circuits for various signal processing applications, ensuring accurate amplification and signal integrity.
📜 Calculation History
Formulas used in the Electrical Engineering Calculator App.
| Calculator | Formula | Explanation |
|---|---|---|
| Ohm’s Law | V = I * R, I = V / R, R = V / I | Ohm’s Law describes the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit. It states that the voltage across a conductor is directly proportional to the current flowing through it, and the constant of proportionality is the resistance. |
| Power Calculation | P = V * I | Calculates the electrical power (P) in watts consumed or produced by a circuit element. Power is the rate at which electrical energy is transferred. This formula is derived from the definition of power as the product of voltage and current. |
| Series & Parallel Resistors | Series: Rtotal = R1 + R2 + … + Rn Parallel: 1/Rtotal = 1/R1 + 1/R2 + … + 1/Rn | Calculates the total equivalent resistance when resistors are connected in series or parallel. In series, the total resistance is the sum of individual resistances. In parallel, the reciprocal of the total resistance is the sum of the reciprocals of individual resistances. |
| Time Constants | RC Time Constant (τRC) = R × C RL Time Constant (τRL) = L / R | Calculates the time constant (τ) for RC (resistor-capacitor) and RL (resistor-inductor) circuits. The time constant represents the time it takes for the voltage or current in the circuit to change by approximately 63.2% of its final value. |
| AC Power | Single-phase: P = V × I × cosϕ Three-phase: P = √3 × VL × IL × cosϕ | Calculates the real power (P) in AC circuits, considering the power factor (cosϕ). In AC circuits, the power factor represents the phase difference between voltage and current waveforms. |
| Power Factor | Power Factor (cosϕ) = Pactive / Papparent | Calculates the power factor (cosϕ) in an AC circuit, which is the ratio of active power (Pactive) to apparent power (Papparent). It indicates how effectively electrical power is used in a circuit. |
| Reactance | Capacitive Reactance (Xc) = 1 / (2πfC) Inductive Reactance (Xl) = 2πfL | Calculates the opposition to current flow caused by capacitance (Xc) or inductance (Xl) in an AC circuit. Reactance depends on the frequency (f) of the AC signal. |
| Impedance (Z) | Impedance (Z) = R + jX, where j is the imaginary unit Magnitude of Impedance |Z| = √(R2 + X2) | Calculates the total opposition to current flow in an AC circuit, considering both resistance (R) and reactance (X). Impedance is a complex quantity. |
| Voltage Regulation | Voltage Regulation (V.R.) = (E2 – V2) / V2 Voltage Regulation (V.R.) = ((E2 – V2) / V2) * 100% | Calculates the voltage regulation in a power system, which is the change in voltage between no-load (E2) and full-load (V2) conditions, expressed as a fraction or percentage of the full-load voltage. |
| Power Losses | Copper Losses (Pcu) = I2R Hysteresis Loss (Ph) = ηBmax1.6fV Eddy Current Loss (Pe) = KBmax2f2t2V | Calculates various power losses in electrical systems. Copper loss is due to the resistance of conductors, hysteresis loss is due to magnetic domain reversal in ferromagnetic materials, and eddy current loss is due to circulating currents induced in conductive materials. |
| Back EMF | Back EMF (Eb) = (P × φ × N × Z) / (60 × A) | Calculates the back electromotive force (EMF) generated in a DC motor, which opposes the applied voltage. It depends on factors like power (P), flux (φ), speed (N), armature conductors (Z), and parallel paths (A). |
| Synchronous Speed | Synchronous Speed (Ns) = (120 × f) / P | Calculates the speed at which the rotating magnetic field of an AC motor rotates. It is determined by the frequency (f) of the AC supply and the number of poles (P) in the motor. |
| Transformer EMF | EMF (E) = 4.44 × φm × f × T | Calculates the electromotive force (EMF) induced in a transformer winding. It depends on the maximum flux (φm), frequency (f), and number of turns (T) in the winding. |
| Turns Ratio | Turns Ratio (a) = E1/E2 = T1/T2 = V1/V2 = I2/I1 | Calculates the ratio of the number of turns in the primary winding (T1) to the number of turns in the secondary winding (T2) of a transformer. This ratio determines the voltage and current transformation between the primary and secondary sides. |
| Op-Amp Gain | Voltage Gain (Av) = -Rf / R1 | Calculates the voltage gain of an inverting operational amplifier (op-amp) circuit. The gain is determined by the ratio of the feedback resistance (Rf) to the input resistance (R1). |
Here is a full Glossary of Terms for the Electrical Engineering Calculator App:
Ohm’s Law
- Voltage (V): The electrical potential difference between two points in a circuit, measured in volts (V).
- Current (I): The flow of electric charge in a circuit, measured in amperes (A).
- Resistance (R): The opposition to the flow of electric current, measured in ohms (Ω).
- Power (P): The rate at which electrical energy is transferred, measured in watts (W).
Power Calculation
- Power (P): The amount of electrical energy consumed or produced in a circuit, measured in watts (W).
- Voltage (V): As defined in Ohm’s Law, the potential difference across a circuit.
- Current (I): As defined in Ohm’s Law, the flow of electric charge in a circuit.
Series & Parallel Resistors
- Resistor: A component that limits the flow of electric current, measured in ohms (Ω).
- Series Configuration: Resistors are connected end-to-end, resulting in the total resistance being the sum of individual resistances.
- Parallel Configuration: Resistors are connected alongside each other, resulting in the total resistance being less than any individual resistor.
Time Constants
- RC Time Constant (τ_RC): The time it takes for the voltage in an RC circuit to charge or discharge to about 63.2% of its full value.
- RL Time Constant (τ_RL): The time it takes for the current in an RL circuit to change to about 63.2% of its full value.
- Capacitance (C): The ability of a capacitor to store electrical energy, measured in farads (F).
- Inductance (L): The property of a conductor that opposes changes in current, measured in henries (H).
AC Power
- AC (Alternating Current): Electric current that reverses its direction periodically, used in most residential and industrial power systems.
- Single-phase Power: Power delivered through a single alternating current, typical in homes.
- Three-phase Power: Power delivered through three alternating currents, typically used in large industrial systems.
- Power Factor (cosϕ): A measure of how effectively the current is being converted into useful work, ranging from 0 to 1.
Power Factor
- Active Power (P_active): The actual power consumed by the circuit, measured in watts (W).
- Apparent Power (P_apparent): The combination of active and reactive power in a circuit, measured in volt-amperes (VA).
Reactance
- Capacitive Reactance (Xc): The opposition to the change in voltage in a capacitor, calculated as Xc=12πfCX_c = \frac{1}{2πfC}Xc=2πfC1, where f is frequency and C is capacitance.
- Inductive Reactance (Xl): The opposition to the change in current in an inductor, calculated as Xl=2πfLX_l = 2πfLXl=2πfL, where L is inductance and f is frequency.
Impedance (Z)
- Impedance (Z): The total opposition a circuit presents to the flow of alternating current, a combination of resistance (R) and reactance (X), calculated as Z=R2+X2Z = \sqrt{R^2 + X^2}Z=R2+X2.
Voltage Regulation
- Voltage Regulation (V.R.): The difference between the no-load and full-load voltages in a power system, expressed as a percentage.
Power Losses
- Copper Losses (P_cu): Power loss due to the resistance of conductors, measured in watts (W).
- Hysteresis Losses (P_h): Power loss in magnetic materials due to the repeated magnetization and demagnetization cycles, measured in watts (W).
- Eddy Current Losses (P_e): Power loss due to circulating currents in conductive materials subjected to changing magnetic fields, measured in watts (W).
Back EMF
- Back EMF (E_b): The electromotive force generated by a motor or generator that opposes the applied voltage, calculated based on flux (φ), speed (N), number of armature conductors (Z), and parallel paths (A).
Synchronous Speed
- Synchronous Speed (N_s): The speed at which the magnetic field in an AC motor rotates, calculated using the formula Ns=120fPN_s = \frac{120f}{P}Ns=P120f, where f is frequency and P is the number of poles.
Transformer EMF
- Electromotive Force (EMF): The induced voltage in a transformer winding due to changing magnetic flux, calculated as E=4.44×φm×f×TE = 4.44 \times φ_m \times f \times TE=4.44×φm×f×T, where φ_m is the maximum flux, f is frequency, and T is the number of turns.
Turns Ratio
- Turns Ratio (a): The ratio of the number of turns in the primary winding to the number of turns in the secondary winding of a transformer.
Op-Amp Gain
- Operational Amplifier (Op-Amp): A high-gain voltage amplifier with differential inputs.
- Voltage Gain (A_v): The ratio of the output voltage to the input voltage in an amplifier, calculated in an inverting configuration as Av=−RfRinA_v = -\frac{R_f}{R_{in}}Av=−RinRf, where R_f is feedback resistance and R_in is input resistance.
Background History
The equations used in the app have their origins in classical electrical engineering theory, based on fundamental laws such as Ohm’s Law (named after Georg Ohm, who formulated the relationship between voltage, current, and resistance in 1827), Kirchhoff’s Laws, and the principles of AC/DC circuit theory developed throughout the late 19th and early 20th centuries by scientists like James Clerk Maxwell and Heinrich Hertz.
These principles are the building blocks of modern electrical engineering and are still relevant today in the design, analysis, and operation of electrical and electronic systems.