Energy Dynamics in LR Circuits

This video tutorial covers the analysis of an LR circuit, including calculating maximum current, time constants, and voltage across components. It explains how current changes over time and provides equations for both increasing and decreasing current scenarios. The video also includes a second example with different circuit parameters, demonstrating the application of Kirchhoff's voltage law and energy conservation principles.

What is the maximum current in the circuit when the switch is closed for a long time?

• 1.2 A

• 2.0 A

• 1.0 A

• 1.5 A

How is the time constant of an LR circuit calculated?

• Resistance divided by inductance

• Inductance divided by resistance

• Voltage divided by current

• Current divided by voltage

What is the current in the circuit after 10 milliseconds?

• 0.7 A

• 0.6 A

• 0.5 A

• 0.472 A

Which equation represents the current when the inductor releases energy?

• I = V/R

• I = L/R

• I = I0 * e^(-t/τ)

• I = I0 * (1 - e^(-t/τ))

What is the voltage across the resistor at 10 milliseconds?

• 4.72 V

• 7.0 V

• 5.0 V

• 6.0 V

What is the voltage across the inductor at 10 milliseconds?

• 6.0 V

• 5.0 V

• 7.28 V

• 8.0 V

At what rate is the current changing at 10 milliseconds?

• 30.0 A/s

• 36.4 A/s

• 40.0 A/s

• 45.0 A/s

What happens to the energy stored in the inductor when the current decreases?

• It remains constant

• It is released back to the circuit

• It is absorbed by the circuit

• It is lost as heat

How many time constants are needed for the current to reach 99.4% of its maximum value?

• 4.0

• 5.116

• 6.0

• 7.0

What is the principle demonstrated by the energy dynamics in the circuit?

• Conservation of momentum

• Conservation of energy

• Conservation of charge

• Conservation of mass