How to Calculate Energy Stored in an Inductor

TL;DR

The energy stored in an inductor is calculated using the formula: one-half the inductance multiplied by the square of the current. For example, a 200 millihenry inductor with a 15-amp current stores 22.5 joules. Magnetic energy density can also be calculated as the square of the magnetic field divided by two times the permeability of free space.

Transcript

in this video we're going to talk about how to calculate the energy stored in an inductor and also in a magnetic field so in this example we have a current of 15 amps flowing through a 200 millihenry inductor and so this is the electrical symbol of an inductor and here's the current that flows to it how much energy is stored in the magnetic field o... Read More

Key Insights

• 🏪 The energy stored in an inductor can be determined by using the formula: one-half of the inductance multiplied by the square of the current.
• 🏑 The magnetic energy density of a magnetic field is given by the square of the magnetic field divided by two times the permeability of free space.
• 🏪 The energy stored in a magnetic field confined within a cylinder can be calculated by multiplying the magnetic energy density by the volume of the cylinder.
• ✖️ The self-inductance of a solenoid can be calculated using the formula: mu zero times the number of turns squared, multiplied by the cross-sectional area, divided by the length of the solenoid.

Questions & Answers

Q: How can I calculate the energy stored in an inductor?

The energy stored in an inductor can be calculated using the formula: one-half of the inductance multiplied by the square of the current flowing through it.

Q: What is the equation for magnetic energy density?

The equation for magnetic energy density is given as the square of the magnetic field divided by two times the permeability of free space (mu zero).

Q: How can I calculate the energy stored in a magnetic field within a cylinder?

To calculate the energy stored in a magnetic field within a cylinder, you need to multiply the magnetic energy density (obtained from the equation) by the volume of the cylinder.

Q: What is the formula for the self-inductance of a solenoid?

The self-inductance of a solenoid can be calculated using the formula: mu zero times the number of turns squared, multiplied by the cross-sectional area, divided by the length of the solenoid.

Summary & Key Takeaways

• The video discusses how to calculate the energy stored in an inductor by using the formula: one-half of the inductance multiplied by the square of the current.

• It explains the derivation of an equation to determine the magnetic energy density of a magnetic field and how it relates to the potential energy stored in the field.

• The video demonstrates how to calculate the energy stored in a specific magnetic field confined within a cylinder by multiplying the energy density by the volume of the cylinder.