6. Magneto, the villain from X-Men, does not actually need metal to cause mayhem

Question

6. Magneto, the villain from X-Men, does not actually need metal to cause mayhem. Magneto is quite capable of using the phenomenon of magnetic induction in order to induce currents through his victims. a) Magneto creates a massive 400T magnetic field through his adversary Bob, who is 1.8m tall and immediately begins sprinting away from Magneto at a rate of 6.0 m/s. Stupidly, Bob is fleeing in a direction exactly perpendicular to Magneto's magnetic field. How much current is induced through poor Bob if his head-to-toe resistance is R = 270 ? Bob b) Using the diagram, will that current flow toward Bob's feet or toward his head? c) Is this current pushed by a magnetic force or by an electric force? (In other words, which of the two types of induction is being activated: motional or transformer?)

Explanation / Answer

6

(a) ans

Given that

magnetic field B=400 T

speed v=6 m/s

lrngth L=1.8 m

resistance R=270 ohm

now we find the induced current

induced current i=BLV/R=400*1.8*6/270=16 A

(b) ans

the current is moving towards the feet because the magnetic field is out of the page

so the current moves downwards

(c) ans

the current pushed by magnetic force and it motional is basing on the concept of Lerontz principle

(d) ans

Given that

magnetic field B=400 T

area A=0.25 m^2

time t=8 *10^-3 sec

now we find the induced emf

the induced emf E=BA/t=400*0.25/88*10^-3=12500 v

now we find the induced current

induced current i=12500/100=125 A

the current movees in counter clockwise direction

the curent is pushing by magnetic force it is transformer

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