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A circular ring with area 4.45 cm² is carrying a current of 12.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field given by B (1.15 x 10-2 T) (121 +33 – 4k). The ring is positioned initially such that its magnetic moment orientation is given by ₁ (-0.8i +0.6j), where is the (positive) magnitude of the magnetic moment. (a) Find the initial magnetic torque on the ring. (b) The ring (which is free to rotate around one diameter) is released and turns through an angle of 90.0°, at which point its magnetic moment orientation is given by = -uk. Determine the decrease in potential energy. (c) If the moment of inertia of the ring about a diameter is 4.50 x 10-7 kg m², determine the angular speed of the ring as it passes through the second position. Review Constants Determine the components of initial magnetic torque of the current-carrying ring. Express your answers in newton-meters separated by commas. View Available Hint(s) IVE ΑΣΦ ? -5 -5 Tai Ty, Tz 18.02. 10 ,24.03 10 5,72.08 107 N.m Submit Previous Answers X Incorrect; Try Again Part C Find the change in potential energy from the first orientation of the ring to the second orientation. Express your answer with the appropriate units. ▸ View Available Hint(s) μA ? AU = Value Units Submit
A circular ring with area 4.45 cm² is carrying a current of 12.5 A. The ring, initially at rest, immersed in a region of uniform magnetic field given by B (1.15 x 10-2 T) (12i +3j - 4k). The ring is positioned initially such that its magnetic moment orientation is given by ₁ = μ(-0.88 +0.63), where is the (positive) magnitude of the magnetic moment. (a) Find the initial magnetic torque on the ring. (b) The ring (which is free to rotate around one diameter) is released and turns through an angle of 90.0°, at which point its magnetic moment orientation is given by uk. Determine the decrease in potential energy. (c) If the moment of inertia of the ring about a diameter is 4.50 × 107 kg m², determine the angular speed of the ring as it passes through the second position. Find the rotational kinetic energy of the ring when it is in the second orientation. Express your answer with the appropriate units. ► View Available Hint(s) μÀ K₁ = Value Units Submit Part E Find the ring's angular speed when it is in the second orientation. Express your answer in radians per second. ▸ View Available Hint(s) ? = لها IVE ΑΣΦ A Submit rad/s