A powerful bolt of lightning can carry a current of 220 k A . Part A: Treating a

Question

A powerful bolt of lightning can carry a current of 220kA .

Part A:

Treating a lightning bolt as a long, thin wire, calculate the magnitude of the magnetic field produced by such a bolt of lightning at a distance of 33m.

Express your answer using two significant figures.

B=___________mT

Part B:

If two such bolts strike simultaneously at a distance of 33m from each other, what is the magnetic force per meter exerted by one bolt on the other?

Express your answer using two significant figures.

F/L=____________kN/m

Explanation / Answer

magnetic field due to a long thin striaght wire B = u0i/2pir

= 4pi*10^-7 220*1000/(2*3.14*33)

B =1.33 mT

b. F/l = u0i1i2/2pi

F/l = 4pi*10^-7 * 220*220 *10^6/(2*3.14)

F/l = 9.68 kN/m

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