Question

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 3.0×10​6​​​m​​V​​. Calculate the minimum voltage that must be supplied to the spark plug to guarantee ignition for this full range of gap sizes.

Answer 1

Concept: here we use the fact that electric field is gradient of potential,

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