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IP A spark plug in a car has electrodes separated by a gap

Chapter 20, Problem 11P

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QUESTION:

Problem 11P

IP A spark plug in a car has electrodes separated by a gap of 0.025 in. To create a spark and ignite the air-fuel mixture in the engine, an electric field of 3.0 × 106 V/m is required in the gap. (a) What potential difference must be applied to the spark plug to initiate a spark? (b) If the separation between electrodes is increased, docs the required potential difference increase, decrease, or stay the same? Explain, (c) Find the potential difference for a separation of 0.050 in.

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QUESTION:

Problem 11P

IP A spark plug in a car has electrodes separated by a gap of 0.025 in. To create a spark and ignite the air-fuel mixture in the engine, an electric field of 3.0 × 106 V/m is required in the gap. (a) What potential difference must be applied to the spark plug to initiate a spark? (b) If the separation between electrodes is increased, docs the required potential difference increase, decrease, or stay the same? Explain, (c) Find the potential difference for a separation of 0.050 in.

ANSWER:

Step 1 of 3:

a)

Here we have to find the potential difference required for the spark plug to initiate the spark.

We know that, when the electric field becomes 3 million volts per meter, sparks occur.

The separation between the electrodes is,

.

The electric field strength is,

.

The potential difference can be calculated as,

   

    .

So, the potential difference applied for spark is 1905 V.

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