(#220983) (Electric Potential} The spark plugs in an automobile engine produce an electrical spark to ignite the fuel in the engine's combustion chamber. The spark is produced by applying a large voltage across the two electrodes (i.e., small exposed pieces of metal) that are separated by a small air-filled gap. When the electric field in the gap exceeds the electrical breakdown threshold for air, a spark will form across the gap. The gap thickness in most spark plugs run between 0.6 mm and 1.8 mm, and the breakdown threshold for air is 3.0 × 106. Calculate the minimum voltage that must be supplied to the spark plug to guarantee ignition for this full range of gap sizes. (Hint: think about whether a smaller gap or a larger gap will require more voltage to spark, and you want to guarantee that all gap sizes will fire with your "minimum" voltage) Air Gap Electrodes Image adapted from publicdomainvectors.com Image size: S M L Max

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Title: Understanding Electric Potential in Automobile Spark Plugs**

The spark plugs in an automobile engine generate an electrical spark to ignite fuel in the engine's combustion chamber. This occurs by applying a large voltage across two electrodes, which are small exposed metal pieces separated by a tiny air-filled gap. When the electric field in the gap surpasses the air's electrical breakdown threshold, a spark forms.

**Key Details:**
- **Gap Thickness**: Typically ranges between 0.6 mm and 1.8 mm.
- **Breakdown Threshold for Air**: 3.0 × 10^6 V/m.

**Objective:**
Calculate the minimum voltage necessary to ensure ignition across all possible gap sizes. Consider that a larger gap requires more voltage for a spark, and you need to ensure all gaps ignite with the minimum voltage.

**Diagram Explanation:**
The image displays a spark plug with labeled parts:
- **Air Gap**: The space where the spark forms.
- **Electrodes**: The conducting parts that create the electric field across the gap.

**Input Section:**
Participants are prompted to enter a numerical answer in volts, using standard or scientific notation.

This educational section helps learners understand the relationship between voltage, gap size, and electric fields in the functioning of spark plugs.
Transcribed Image Text:**Title: Understanding Electric Potential in Automobile Spark Plugs** The spark plugs in an automobile engine generate an electrical spark to ignite fuel in the engine's combustion chamber. This occurs by applying a large voltage across two electrodes, which are small exposed metal pieces separated by a tiny air-filled gap. When the electric field in the gap surpasses the air's electrical breakdown threshold, a spark forms. **Key Details:** - **Gap Thickness**: Typically ranges between 0.6 mm and 1.8 mm. - **Breakdown Threshold for Air**: 3.0 × 10^6 V/m. **Objective:** Calculate the minimum voltage necessary to ensure ignition across all possible gap sizes. Consider that a larger gap requires more voltage for a spark, and you need to ensure all gaps ignite with the minimum voltage. **Diagram Explanation:** The image displays a spark plug with labeled parts: - **Air Gap**: The space where the spark forms. - **Electrodes**: The conducting parts that create the electric field across the gap. **Input Section:** Participants are prompted to enter a numerical answer in volts, using standard or scientific notation. This educational section helps learners understand the relationship between voltage, gap size, and electric fields in the functioning of spark plugs.
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