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

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 * 10 ^ 3 A distance r = 93 m magnetic field B = i / 2r                           =( 4* 10 ^ -7 * 225 * 10 ^ 3 ) / ( 2 * 93 )                         = 4.838 * 10 ^ -4 T (b). magnetic force per meter F/L = i ^ 2/2r '                                                      = ( 4 * 10 ^ -7 * ( 225* 10 ^ 3 ) ^ 2 ) / 2( 13 )                                                       = 778.8 N / m

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