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A powerful bolt of lightning can carry a current of 225 kA. (a) Treating a light

ID: 1764747 • Letter: A

Question

A powerful bolt of lightning can carry a current of 225 kA. (a) Treating a lightning bolt as a long, thinwire, calculate the magnitude of the magnetic field produced bysuch a bolt of lightning at a distance of 93 m.
___________? µT

(b) If two such bolts strike simultaneously at a distance of13 m from each other, what is themagnetic force per meter exerted by one bolt on the other?
___________? N/m (a) Treating a lightning bolt as a long, thinwire, calculate the magnitude of the magnetic field produced bysuch a bolt of lightning at a distance of 93 m.
___________? µT

(b) If two such bolts strike simultaneously at a distance of13 m from each other, what is themagnetic force per meter exerted by one bolt on the other?
___________? N/m

Explanation / Answer

current i = 225 kA = 225000A distance r= 93 m magnetic field B = i / 2r where = 4* 10 ^ -7 H / m plug th evalues weget B = 483.8 * 10 ^ -6 T                                     = 438.8 T (b). Force per unit length F / L = i ^ 2 /2r                                                = 108.87 N / m
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