Energy Stored in an Inductor

The video tutorial explains the derivation of the equation for energy stored in the magnetic field of an inductor as charge moves through it. It begins with an introduction to LR circuits and the application of Kerkhoff's loop rule. The discussion then shifts to the power in circuit elements, leading to the derivation of the energy stored in an inductor using integrals. Finally, the video compares energy storage in inductors and capacitors, highlighting the differences in how energy is stored and maintained in these components.

What components are included in an LR circuit?

• Inductor, Resistor, Battery, Switch

• Inductor, Capacitor, Battery, Switch

• Inductor, Resistor, Capacitor, Switch

• Capacitor, Resistor, Battery, Switch

According to Kirchhoff's loop rule, what is the sum of the electric potential differences around a closed loop?

• It equals the sum of the resistances

• It equals zero

• It equals the EMF of the battery

• It equals the sum of the inductances

What does the product of current and EMF across the battery represent?

• The energy stored in the capacitor

• The power dissipated by the resistor

• The energy stored in the inductor

• The power added by the battery

How is the energy stored in the magnetic field of an inductor calculated?

• 1/2 times capacitance times voltage squared

• Current squared times resistance

• Inductance times current

• 1/2 times inductance times current squared

What is a key difference between energy storage in inductors and capacitors?

• Capacitors can store energy without current, inductors cannot

• Both store energy in the magnetic field

• Inductors can store energy without current, capacitors cannot

• Inductors store energy in the electric field, capacitors in the magnetic field

Which of the following is NOT an equation for energy stored in a capacitor?

• Inductance times current squared

• 1/2 charge times voltage

• 1/2 capacitance times voltage squared

• Charge squared divided by two times capacitance

Why does the magnetic field in an inductor disappear when there is no current?

• Because the inductor is disconnected from the circuit

• Because the resistance is too high

• Because the charges stop moving

• Because the electric field is too weak