A circular coil consists of N = 370 closely wrapped turns of wire and has a radius R = 0.55 m. A counterclockwise current I = 2.1 A is in the coil. The coil is placed in a magnetic field of magnitude B = 1.2 T. The magnetic field points to right. (a) Express the magnetic dipole moment μ in terms of the number of the turns N, the current I, and radius R. (b) Calculate the numerical value of μ in SI units. (c) What is the vector direction of μ? d) Express the magnitude of the torque τ in terms of μ and B. (e) Calculate the numerical value of τ in N⋅m. f) What is the vector direction of the torque? (g) What is the potential energy of the coil in the magnetic field, in term
A circular coil consists of N = 370 closely wrapped turns of wire and has a radius R = 0.55 m. A counterclockwise current I = 2.1 A is in the coil. The coil is placed in a magnetic field of magnitude B = 1.2 T. The magnetic field points to right.
(a) Express the magnetic dipole moment μ in terms of the number of the turns N, the current I, and radius R.
(b) Calculate the numerical value of μ in SI units.
(c) What is the vector direction of μ?
d) Express the magnitude of the torque τ in terms of μ and B.
(e) Calculate the numerical value of τ in N⋅m.
f) What is the vector direction of the torque?
(g) What is the potential energy of the coil in the magnetic field, in terms of the variables provided?
(h) If the magnetic field was pointing upward, express the potential energy of the coil in the magnetic field, Uu, in terms of μ and B.
(i) Calculate the numerical value of Uu in J.
(j) What’s the torque τu now?
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