📚 Topic Summary
In an RL discharging circuit, a charged inductor releases its stored energy through a resistor. When the switch is opened, the current begins to decrease, causing the magnetic field in the inductor to collapse. This collapsing field induces a voltage across the inductor that opposes the change in current, as described by Lenz's Law. The voltage across the resistor is directly proportional to the current flowing through it, following Ohm's Law. Understanding how these voltages change over time is crucial for analyzing circuit behavior.
🧠 Part A: Vocabulary
Match the term to its correct definition:
| Term |
Definition |
| 1. Inductance |
A. The opposition to current flow in a circuit. |
| 2. Resistance |
B. The property of a circuit element that opposes changes in current. |
| 3. Time Constant |
C. The voltage across the inductor decays exponentially. |
| 4. Discharging |
D. A measure of how quickly the current and voltage decay in an RL circuit ($ \tau = L/R $). |
| 5. Exponential Decay |
E. The process where the energy stored in the inductor is released. |
(Match the numbers to the letters)
⚡ Part B: Fill in the Blanks
In an RL discharging circuit, the current _________ (1) exponentially from its initial value. The voltage across the resistor is proportional to the _________ (2). The voltage across the inductor opposes the _________ (3) in current. The time constant, $ \tau $, is equal to _________ (4) divided by _________ (5), influencing the rate of discharge.
🤔 Part C: Critical Thinking
Explain how the initial current in an RL circuit and the values of the inductor and resistor affect the rate at which the voltage across the resistor changes during discharge.