Problem #0067 Electricity & Magnetism Sub-menu Problem #0069 Chapters Chapters

338.

Problem 30.7 (RHK)

In a typical lightening flash the potential difference between discharge points is about and the quantity of charge transferred is about 30 C. We have to find (a) the energy released. (b) Assuming that all the released energy could be used to accelerate a 1200 kg automobile from rest, we have to calculate its final speed. (c) Assuming that all the released energy could be used to melt ice, we have to calculate the amount of ice that can melt at .

Solution:             Click For PDF Version

(a)

The potential difference between discharge points is

.

The quantity of charge transferred during the discharge is

Therefore, the potential energy that is released during the discharge is

(b)

If this much amount of energy could be used to accelerate a 1200 kg automobile from rest, the final speed v of the automobile will be

And

(c)

The energy released in the discharge will melt at the amount of ice equal to , where the latent heat of fusion for water . We therefore have