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White raven [17]
3 years ago
11

Your friend wants to be magician and intends to use Earth’s magnetic field to suspend a current-carrying wire above the stage. H

e asks you to estimate the minimum current needed to suspend the wire just above Earth’s surface at the equator (where Earth’s magnetic field is horizontal). Assume the wire has a mass of 10 g, and length of 1.0 m. Would you advise him to proceed with his plans for this act?
Physics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

I=1960A

Explanation:

Under this  condition, . In order to suspend the wire, this magnetic force would  have to be equal in magnitude to the gravitational force exerted by Earth on the  wire the maximum force at angle

F=ILxB

Now to the suspend the wire so use the maximum force and solve to the current knowing the magnetic field of the earth

∑Fy=0

F_{m}-F_{g}=0

I*L*\beta-m*g=0

Solve to I current

I=\frac{m*g}{L*\beta}

I=\frac{10x10^{-3}kg*9.8m/s^2}{1m*0.5x10{-4}T}

I=1960A

I suggest do an toher act is really risk that current for an act

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