describe the short term behavior of the lightbulbs.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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**Transcription and Explanation for Educational Website**

In the drawn circuit, a student has attached three identical light bulbs to the three wire segments as drawn in the picture. Bulb #1 is in series with a resistor of the same resistance as each light bulb. Bulb #2 is in series with an inductor. Bulb #3 is in series with a capacitor.

Using only qualitative reasoning, describe the short-term behavior of the light bulbs.

---

**Diagram Explanation:**

The diagram consists of a simple circuit with three light bulbs, a resistor, an inductor, and a capacitor. The circuit includes:

1. **Bulb #1 and Resistor:**
   - This segment consists of Light Bulb #1 in series with a resistor.
   - The resistor has the same resistance as each light bulb.

2. **Bulb #2 and Inductor:**
   - Light Bulb #2 is in series with an inductor.

3. **Bulb #3 and Capacitor:**
   - Light Bulb #3 is in series with a capacitor.

**Overall Circuit:**
- The circuit is powered by a battery and includes a switch.
- Bulbs are parallel to each other but in different branches of the circuit, each with its own component (resistor, inductor, capacitor).

**Short-Term Behavior:**
- **Bulb #1:** Will immediately glow at a reduced brightness compared to a single bulb, due to the added resistance in series.
- **Bulb #2:** Will initially be dim or may not glow as the inductor resists changes in current when the switch is first closed.
- **Bulb #3:** Will briefly glow brightly as the capacitor initially allows current to pass through, but will then dim as the capacitor charges and current flow decreases.
Transcribed Image Text:**Transcription and Explanation for Educational Website** In the drawn circuit, a student has attached three identical light bulbs to the three wire segments as drawn in the picture. Bulb #1 is in series with a resistor of the same resistance as each light bulb. Bulb #2 is in series with an inductor. Bulb #3 is in series with a capacitor. Using only qualitative reasoning, describe the short-term behavior of the light bulbs. --- **Diagram Explanation:** The diagram consists of a simple circuit with three light bulbs, a resistor, an inductor, and a capacitor. The circuit includes: 1. **Bulb #1 and Resistor:** - This segment consists of Light Bulb #1 in series with a resistor. - The resistor has the same resistance as each light bulb. 2. **Bulb #2 and Inductor:** - Light Bulb #2 is in series with an inductor. 3. **Bulb #3 and Capacitor:** - Light Bulb #3 is in series with a capacitor. **Overall Circuit:** - The circuit is powered by a battery and includes a switch. - Bulbs are parallel to each other but in different branches of the circuit, each with its own component (resistor, inductor, capacitor). **Short-Term Behavior:** - **Bulb #1:** Will immediately glow at a reduced brightness compared to a single bulb, due to the added resistance in series. - **Bulb #2:** Will initially be dim or may not glow as the inductor resists changes in current when the switch is first closed. - **Bulb #3:** Will briefly glow brightly as the capacitor initially allows current to pass through, but will then dim as the capacitor charges and current flow decreases.
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