Thor, thunder god of the Vikings, has a secret. His mighty hammer Mjolnir is mig

Question

Thor, thunder god of the Vikings, has a secret. His mighty hammer Mjolnir is mighty only because it is imbued with the power of physics: inside the hammer is a positive point charge equal to +100 C a) Suppose Thor smites a 4.0 m tall frost giant by smashing his hammer down on the ground 2.0 m in front of the enemy's feet, as shown in this diagram. What is the voltage difference across the giant, from head to toe? Don't worry about the overall sign in this problem; just find the number of volts. As Thor is busy with his electrical smiting, Thor's nerdy and misunderstood brother Loki watches, waiting for his opportunity to make a fool of his arrogant brother Thor. Loki also knows some physics, so he craftily decides to use a magnetic field to wreak havoc upon the unsuspecting Thor. Loki quietly conjures up a gigantic ring of current with a radius equal to 3.6 meters, positioned so that Thor is standing at its center. Loki produces a current that only a Norse god is powerful enough to make: 250 MA (that's mega-amps!) What is the strength of the magnetic field at Thor's location? Following the picture below, if Thor begins to run to the right at 7.5 m/s with his +100 C hammer clutched in his hand, what are the magnitude and direction of the magnetic force on the hammer?

Explanation / Answer

(A) V = k Q / r

deltaV = k Q / 2 - k Q / sqrt(2^2 + 4^2)

= ( 9 x 10^9 x 100) (1 / 2 - 1/ 4.47)

= 248.66 x 10^9 Volt

(B) B = u0 I / 2 R

= (4pi x 10^-7) (250 x 10^6) / (2 x 3.6)

= 43.6 T

(C) F = q v B

= 100 x 7.5 x 43.6

= 32724.9 N

v -> to the right

B -> into the page

and F = q ( v x B )

so F-> upward

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