Examples for

Electricity & Magnetism

Electricity and magnetism encompass the phenomena generated by electromagnetism, one of the four fundamental forces of the universe. Use Wolfram|Alpha to explore the rich variety of electromagnetic interactions arising from electric and magnetic fields. Compute the forces involved in static and dynamic fields. Explore how electricity behaves within a circuit. Examine properties of electromagnetic radiation.


Compute electric field strength and force and examine electric field equations for many different charge distributions.

Do a Coulomb's law computation:

Compute electric potential and field strength:

Find equations associated with a charge distribution:

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Examine electric fields and electric potentials of different physical systems.

Find information on a moving charge:

Compute time-dependent electrical potential:

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Electromagnetic Radiation

Explore properties of the electromagnetic spectrum and electromagnetic phenomena, such as Larmor radiation and visible colors.

Compute Larmor frequency:

Compute a gyromagnetic ratio:

Compute the visible light color corresponding to a frequency:

Compute the attenuation coefficient for radio waves in air:

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Electromagnetic Measurements

Explore the physical quantities used in the field of electricity and magnetism and how they are measured.

Discover how to measure different physical properties:

Compute a dimensionless electrodynamic quantity:

Compute dimensionless combinations:

Get information about a physical quantity:

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Compute the magnetic fields for and their effects on different objects.

Compute magnetic flux density for an object:

Compute force on a pair of wires:

Find equations associated with a magnetized object:

Find the axial field strength of an ideal solenoid:

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Electric Circuits

Compute properties of different circuit elements, including diodes and filters, and their combinations.

Use input fields to specify data for an Ohm's law computation:

Analyze an RLC circuit:

Calculate the power used across an electrical component:

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Compute the allowed frequencies, their velocities and how the wave looks as it passes through different waveguides.

Explore properties of ideal waveguides:

Examine properties of specific modes:

Investigate attenuated waveguides:

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Electromagnetic Physical Constants

Examine physical constants relevant to electricity and magnetism.

Get the value of a physical constant:

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  • Electrical Engineering
  • Frequency Allocations
  • Geomagnetism
  • Optics
  • Oscillations & Waves
  • Space Weather
  • Electric Machines & Power Systems

    Calculate properties of electric machines, such as motors, transformers and power transmission systems.

    Compute characteristics of a motor:

    Compute characteristics of a transformer:

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    Rutherford Scattering

    Calculate the scattering cross section for Rutherford scattering due to electromagnetic interactions.

    Determine the cross section for Rutherford scattering: