The drawing shows three ac circuits, as shown below, each connected to entical generators Suddenly, the frequency of each generator is doubled from its initial value, but its maximum (peak) voltage remains the same. Which circuit, if any, experiences no change in current? www Vo sin 2 Vo sin 2x Vosin 2x The inductor circuit The resistor circuit The capacitor circuit All experience the same

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**AC Circuit Analysis: Impact of Frequency Doubling on Current**

The drawing shows three AC circuits, as shown below, each connected to identical generators. Suddenly, the frequency of each generator is doubled from its initial value, but its maximum (peak) voltage remains the same. Which circuit, if any, experiences no change in current?

**Diagrams Description**:
The three circuit diagrams each depict a series AC circuit powered by a generator with voltage described as \( V_0 \sin 2\pi f t \). Each circuit contains one of the following components:

1. **Resistor (R) Circuit**:
   - A simple series circuit consisting of a resistor and an AC generator.

2. **Capacitor (C) Circuit**:
   - A simple series circuit consisting of a capacitor and an AC generator.

3. **Inductor (L) Circuit**:
   - A simple series circuit consisting of an inductor and an AC generator.

**Question**:
Which circuit, if any, experiences no change in current when the frequency of each generator is doubled?

1. The inductor circuit
2. The resistor circuit
3. The capacitor circuit
4. All experience the same

This educational exercise aims to explore the behavior of different circuit elements (resistor, inductor, capacitor) in response to a change in the frequency of the applied AC voltage.
Transcribed Image Text:**AC Circuit Analysis: Impact of Frequency Doubling on Current** The drawing shows three AC circuits, as shown below, each connected to identical generators. Suddenly, the frequency of each generator is doubled from its initial value, but its maximum (peak) voltage remains the same. Which circuit, if any, experiences no change in current? **Diagrams Description**: The three circuit diagrams each depict a series AC circuit powered by a generator with voltage described as \( V_0 \sin 2\pi f t \). Each circuit contains one of the following components: 1. **Resistor (R) Circuit**: - A simple series circuit consisting of a resistor and an AC generator. 2. **Capacitor (C) Circuit**: - A simple series circuit consisting of a capacitor and an AC generator. 3. **Inductor (L) Circuit**: - A simple series circuit consisting of an inductor and an AC generator. **Question**: Which circuit, if any, experiences no change in current when the frequency of each generator is doubled? 1. The inductor circuit 2. The resistor circuit 3. The capacitor circuit 4. All experience the same This educational exercise aims to explore the behavior of different circuit elements (resistor, inductor, capacitor) in response to a change in the frequency of the applied AC voltage.
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