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File Edit View History Bookmarks People Window Help @* 29% D Mon 8:35 PM a My Ma

ID: 2038416 • Letter: F

Question

File Edit View History Bookmarks People Window Help @* 29% D Mon 8:35 PM a My MasteringPhysics: Homework 10 Secure http's.//session.masteringphysics.com/myct/itemView?assignmentProblemiD 94319945 Homework 10 Problem 22.81 8 of 19 in Treating a lightning bolt as a long, thin wire, calculate the magritude of the magnetic field produced by such a bolt of lightning at a distance of 38 m A powerful bolt of lightning can carry a current of es 220 kA Express your answer using two significant figures B12 mT Answer Requested ea nswer Part 8 nt If two such tits strike simultaneously at a distance of 38 m from each other, what is the magnatic force per meter exerted by one boit on the other? Express your answer using two significant figures. tings Tools kN/m Submit Previous Answers Request Answer

Explanation / Answer

B = uo*I / 2?r

where uo = 4? * 10-7

B =  4? * 10-7*220*1000 / 2?*38

B = 1.1578e-3 Tesla

or B = 1.1578 mT

For two bolts,

B = uoI1I2 / 2?r here r = 38 m

I1 = I2 = 220*1000 amps

solving it we get

B = 254.736 T

so, force per unit length

F = ILB

F/L = IB

F/L = 220*254.736

F/L = 56041.92 kN/m

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