Question

A wire of 52 turns has a surface area vector A = (5i + 3j -...

A wire of 52 turns has a surface area vector A = (5i + 3j - 4k) cm2 and carries a current of 1.2 amps. The mass of the whole wire is 187 grams. There is a Magnetic field in the region equal to B = -3i + 7j – 3k mTeslas.

a) Calculate the magnitude of the Magnetic Dipole Moment of this wire and What is the Torque on this wire due to the Magnetic field?

b) What is the potential energy of this wire due to the Magnetic field and What is the potential energy of this wire when it is lined up with the B field?

c) What is the velocity of the wire by the time it is lined up with the B field?

Answers should be:

a) .044 amp.m2   6.24(19i + 27j + 44k) μN-m

b.) -.112 mJoules    -.36 mJoules

c.) 5.15 cm/s

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