In the shown below circuit, the switch closes at t=0. 50 10 V 5 mH a) What is the difference of potential on the resistor after a very long time? b) What is the difference of potential on the inductor after 3 ms? (round up to 1 decimal digit) c) How much time does it take to store 2.5 mJ in the inductor? (express the time in ms and round up to 1 decimal digit) ell

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**Transcription for Educational Website**

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**Circuit Analysis Problem**

1. In the circuit shown below, the switch closes at \( t = 0 \).

![Circuit Diagram](URL)

- **Components:**
  - Voltage Source: \( 10 \, \text{V} \)
  - Resistor: \( 5 \, \Omega \)
  - Inductor: \( 5 \, \text{mH} \)

**Questions:**

a) What is the difference of potential on the resistor after a very long time?

b) What is the difference of potential on the inductor after 3 ms? (Round up to 1 decimal digit)

c) How much time does it take to store 2.5 mJ in the inductor? (Express the time in ms and round up to 1 decimal digit)

**Diagram Explanation:**

The circuit diagram includes a voltage source providing 10 volts connected in series with a resistor of 5 ohms and an inductor of 5 millihenries. When the switch is closed, the circuit allows current to flow through these components.

**Conceptual Notes:**

- **Steady state** is reached when the circuit parameters remain constant over time.
- **Transient analysis** involves calculating the behavior of the circuit shortly after the switch is closed.
- The **energy stored** in an inductor is given by \( E = \frac{1}{2} L I^2 \), where \( E \) is the energy, \( L \) is the inductance, and \( I \) is the current.

---

This transcription ensures that students can understand the circuit components, analyze potential differences, and compute energy storage within the specified time frames.
Transcribed Image Text:**Transcription for Educational Website** --- **Circuit Analysis Problem** 1. In the circuit shown below, the switch closes at \( t = 0 \). ![Circuit Diagram](URL) - **Components:** - Voltage Source: \( 10 \, \text{V} \) - Resistor: \( 5 \, \Omega \) - Inductor: \( 5 \, \text{mH} \) **Questions:** a) What is the difference of potential on the resistor after a very long time? b) What is the difference of potential on the inductor after 3 ms? (Round up to 1 decimal digit) c) How much time does it take to store 2.5 mJ in the inductor? (Express the time in ms and round up to 1 decimal digit) **Diagram Explanation:** The circuit diagram includes a voltage source providing 10 volts connected in series with a resistor of 5 ohms and an inductor of 5 millihenries. When the switch is closed, the circuit allows current to flow through these components. **Conceptual Notes:** - **Steady state** is reached when the circuit parameters remain constant over time. - **Transient analysis** involves calculating the behavior of the circuit shortly after the switch is closed. - The **energy stored** in an inductor is given by \( E = \frac{1}{2} L I^2 \), where \( E \) is the energy, \( L \) is the inductance, and \( I \) is the current. --- This transcription ensures that students can understand the circuit components, analyze potential differences, and compute energy storage within the specified time frames.
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