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Thunderclouds typically develop voltage differences of about 1×108V. Given that an electric field of 3×106V/m is required to produce an electrical spark within a volume of air, estimate the length of a thundercloud lightning bolt.

Answer :

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The Length of the thundercloud lightning bolt is 33.33 m.

What is length?

This can be defined as the distance between two point.

To calculate the length of the thundercloud, we use the formula below.

Formula:

  • E = V/L............ Equation 1

Where:

  • E = Electric field of the thundercloud
  • V = Potential difference
  • L = Length of the thundercloud.

Make L the subject of the equation

  • L = V/E............... Equation 2

From the question,

Given:

  • V = 1×10⁸ V
  • E = 3×10⁶ V/m

Substitute these values into equation 2

  • L = (1×10⁸)/(3×10⁶)
  • L = 100/3
  • L = 33.33 m

Hence, The Length of the thundercloud lightning bolt is 33.33 m.

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