A person is working near the secondary of a transformer, as shown in the figure below. The primary voltage is 120 V (rms) at 60.0 Hz. The capacitance C, which is the stray capacitance between the hand and the secondary winding, is 22.0 pF. Assuming the person has a body resistance to ground R = 45.0 kn, determine the rms voltage across the body. Hint: Redraw the circuit with the secondary of the transformer as a simple AC source. Transformer eeeeeeeeee 5 000 V R₂-

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement

A person is working near the secondary of a transformer, as shown in the figure below. The primary voltage is 120 V (rms) at 60.0 Hz. The capacitance \( C_s' \), which is the stray capacitance between the hand and the secondary winding, is 22.0 pF. Assuming the person has a body resistance to ground \( R_b = 45.0 \, \text{k}\Omega \), determine the rms voltage across the body. *Hint:* Redraw the circuit with the secondary of the transformer as a simple AC source.

### Diagram Explanation

The diagram illustrates a transformer with a secondary winding that produces a 5,000 V output. A human hand is depicted close to the secondary winding, indicating the presence of a stray capacitance \( C_s' \). This capacitance is in series with the human body, represented by a resistor \( R_b \), which is connected to the ground.

- **Transformer**: A coil on the left side symbolizing the transformation of AC voltages.
- **Capacitance \( C_s' \)**: A capacitor symbol is shown between the transformer and the human hand, labeled as 22.0 pF.
- **Resistance \( R_b \)**: A resistor symbol is displayed representing the body resistance, labeled as 45.0 kΩ.
- **Ground Connections**: The transformer and the body are grounded, depicted with standard ground symbols.

This setup models the electrical circuit to analyze the voltage experienced by a person due to stray capacitance while working near high-voltage equipment.
Transcribed Image Text:### Problem Statement A person is working near the secondary of a transformer, as shown in the figure below. The primary voltage is 120 V (rms) at 60.0 Hz. The capacitance \( C_s' \), which is the stray capacitance between the hand and the secondary winding, is 22.0 pF. Assuming the person has a body resistance to ground \( R_b = 45.0 \, \text{k}\Omega \), determine the rms voltage across the body. *Hint:* Redraw the circuit with the secondary of the transformer as a simple AC source. ### Diagram Explanation The diagram illustrates a transformer with a secondary winding that produces a 5,000 V output. A human hand is depicted close to the secondary winding, indicating the presence of a stray capacitance \( C_s' \). This capacitance is in series with the human body, represented by a resistor \( R_b \), which is connected to the ground. - **Transformer**: A coil on the left side symbolizing the transformation of AC voltages. - **Capacitance \( C_s' \)**: A capacitor symbol is shown between the transformer and the human hand, labeled as 22.0 pF. - **Resistance \( R_b \)**: A resistor symbol is displayed representing the body resistance, labeled as 45.0 kΩ. - **Ground Connections**: The transformer and the body are grounded, depicted with standard ground symbols. This setup models the electrical circuit to analyze the voltage experienced by a person due to stray capacitance while working near high-voltage equipment.
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