Lightning strikes energy question

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SUMMARY

The energy delivered to the ground by a lightning strike is calculated using the formula Uelec = V*q, where V is the potential difference and q is the charge. In this case, with a potential difference of 1.00 * 10^8 V and a charge of -20.0 C, the energy is computed as Uelec = 1.00 * 10^8 V * -20.0 C, resulting in -2.0 * 10^9 J. The discrepancy with the book's positive value of 2.0 * 10^9 J arises from the interpretation of potential differences, as the sign of the energy depends on the reference point chosen for the charge.

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  • Understanding of electric potential and charge
  • Familiarity with the formula for electric potential energy (Uelec = V*q)
  • Basic knowledge of lightning and its electrical properties
  • Concept of potential difference in electrical circuits
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Miike012
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Lightning strikes a point on earth, delivering -20.0 C of
charge from cloud to Earth across a potential difference of 1.00 * 10^8 V.

How much energy is delivered to the ground?

Uelec= V*q = 1.00 * 10^8 V* -20.0 = -2.0*10^9 J.

But the book says it is 2.0*10^9 J... why is it positive and not negative?
 
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First, what does Uelec represent in this equation? Uelec= V*q Second, the question tells you the potential difference between Earth and cloud, but it does not tell you which potential is greater. So you need to guess which is greater. (To guess, you just need to think about why the lightning strike happens).
 

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