Question

A circular ring with area 4.45 cm2 is carrying a current of 13.5 A. The ring,...

A circular ring with area 4.45 cm2 is carrying a current of 13.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field given by B⃗ =(1.15×10−2T)(12i^+3j^−4k^). The ring is positioned initially such that its magnetic moment orientation is given by μ⃗ i=μ(−0.8i^+0.6j^), where μ is the (positive) magnitude of the magnetic moment.

a) Determine the components of the initial magnetic torque of the current carrying ring.

b) Find the change in potential energy from the first orientation of the ring to the second orientation.

c)Find the rotational kinetic energy of the ring when it is in the second orientation.

d) Find the ring's angular speed when it is in the second orientation.

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