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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 Cs, which is the stray capacitance between the hand and the secondary winding, is 23.0 pF. Assuming the person has a body resistance to ground Rb = 45.0 kΩ, determine the rms voltage across the body. Hint: Redraw the circuit with the secondary of the transformer as a simple AC source.

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 Cs, which is the stray capacitance between the hand and the secondary winding, is 23.0 pF. Assuming the person has a body resistance to ground Rb = 45.0 kΩ, determine the rms voltage across the body. Hint: Redraw the circuit with the secondary of the transformer as a simple AC source.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 Cs, which is the stray capacitance between the hand and the secondary winding, is 23.0 pF. Assuming the person has a body resistance to ground Rb = 45.0 kΩ, determine the rms voltage across the body. Hint: Redraw the circuit with the secondary of the transformer as a simple AC source.

_________ V

The diagram illustrates a basic circuit configuration using a transformer and a capacitor. Key components are as follows: 1. **Transformer**: A device indicated in the circuit with a coil symbol on the left side, used to step up the voltage to 5,000 volts. This is connected to ground at its lower terminal. 2. **Capacitor (\( C_s \))**: Positioned in the circuit with one of its terminals connected to the output of the transformer and the other depicted as being touched by a hand, suggesting potential human interaction with the circuit. 3. **Voltage Indication**: \( 5,000 \, \text{V} \) is marked to indicate the high voltage output from the transformer leading to the capacitor. 4. **Resistance (\( R_b \))**: This is represented by a resistor symbol connected in series from the capacitor and terminating to ground. It appears to provide a path for any leakage or fault current to safely dissipate into the ground. The diagram serves as a conceptual illustration to demonstrate the interaction between high voltage transformers, capacitors, and grounding resistance in electrical circuits. The presence of the hand suggests caution in handling to prevent electric shock due to the high voltage present in the circuit.
Transcribed Image Text:The diagram illustrates a basic circuit configuration using a transformer and a capacitor. Key components are as follows: 1. **Transformer**: A device indicated in the circuit with a coil symbol on the left side, used to step up the voltage to 5,000 volts. This is connected to ground at its lower terminal. 2. **Capacitor (\( C_s \))**: Positioned in the circuit with one of its terminals connected to the output of the transformer and the other depicted as being touched by a hand, suggesting potential human interaction with the circuit. 3. **Voltage Indication**: \( 5,000 \, \text{V} \) is marked to indicate the high voltage output from the transformer leading to the capacitor. 4. **Resistance (\( R_b \))**: This is represented by a resistor symbol connected in series from the capacitor and terminating to ground. It appears to provide a path for any leakage or fault current to safely dissipate into the ground. The diagram serves as a conceptual illustration to demonstrate the interaction between high voltage transformers, capacitors, and grounding resistance in electrical circuits. The presence of the hand suggests caution in handling to prevent electric shock due to the high voltage present in the circuit.
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