A permanent magnet has a magnetic dipole moment of 0.150 A m². The magnet is in the presence of an external uniform magnetic field (provided by current-carrying coils) with a magnitude of 0.0800 T, which makes an angle of 23.0° with the orientation of the permanent magnet. (a) What is the magnitude of the torque (in N m) on the permanent magnet? N⚫ m (b) What is the potential energy (in J) of the system consisting of the permanent magnet and the magnetic field provided by the coils? J
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- A permanent magnet has a magnetic dipole moment of 0.160 A · m2. The magnet is in the presence of an external uniform magnetic field (provided by current-carrying coils) with a magnitude of 0.0800 T, which makes an angle of 17.0° with the orientation of the permanent magnet. (a)What is the magnitude of the torque (in N · m) on the permanent magnet? (b)What is the potential energy (in J) of the system consisting of the permanent magnet and the magnetic field provided by the coils?The coil in the figure carries current i- 1.81 A in the direction indicated, is parallel to an xz plane, has 2 turns and an area of 4,00 x 10 m2, and lies in a uniform magnetic field B- (2.10i-2.61j - 4.39 k) mT. (a) What is the magnetic potential energy of the coil-magnetic field system? (b) What is the magnetic torque (in unit-vector notation) on the coil? Unit (a) Number AUnit (b) Number (IThe coil in the figure carries current i = 1.71 A in the direction indicated, is parallel to an xz plane, has 6 turns and an area of 5.86 x 10-3 m², and lies in a uniform magnetic field B = (2.38 -2.62ĵ-3.11 ) mT. (a) What is the magnetic potential energy of the coil-magnetic field system? (b) What is the magnetic torque (in unit-vector notation) on the coil? (a) Number i -1.57524E-5 (b) Number ( Unit î+ p 0 + i k) Unit uN*m
- The coil in the figure carries current i = 2.48 A in the direction indicated, is parallel to an xz plane, has 5 turns and an area of 5.47 x 10-3 m², and lies in a uniform magnetic field B = (1.55 -2.44 -4.65 k) mT. (a) What is the magnetic potential energy of the coil-magnetic field system? (b) What is the magnetic torque (in unit-vector notation) on the coil?The coil in the figure carries current i = 2.35 A in the direction indicated, is parallel to an xz plane, has 4 turns and an area of 5.35 × 103 m2, and lies in a uniform magnetic field B = (2.50 i - 2.87 j - 4.27 k) mT. (a) What is the magnetic potential energy of the coil- magnetic field system? (b) What is the magnetic torque (in unit-vector notation) on the coil? (a) Number i -5.03e-2 Unit uJ k) Unit uN'm i + i 1.26e-4 (b) Number (i 2.15e-4A permanent magnet has a magnetic dipole moment of 0.140 A · m2. The magnet is in the presence of an external uniform magnetic field (provided by current-carrying coils) with a magnitude of 0.0800 T, which makes an angle of 25.0° with the orientation of the permanent magnet. (a) What is the magnitude of the torque (in N · m) on the permanent magnet? |N.m (b) What is the potential energy (in J) of the system consisting of the permanent magnet and the magnetic field provided by the coils?
- The coil in the figure carries current i = 1.56 A in the direction indicated, is parallel to an xz plane, has 2 turns and an area of 5.81 × 10-3 m², and lies in a uniform magnetic field B = (2.29 î - 3.84 -4.74 k) mT. (a) What is the magnetic potential energy of the coil-magnetic field system? (b) What is the magnetic torque (in unit-vector notation) on the coil? (a) Number i (b) Number (i Unit i+ i + i k) UnitA circular coil with 200 turns has a radius of 2.0 cm. (a) What current through the coil results in a magnetic dipole moment of 3.0 Am2? (b) What is the maximum torque that the coil will experience in a uniform field of strength 5.0 × 10−2 T? (c) If the angle between μ and B is 45°, what is the magnitude of the torque on the coil? (d) What is the magnetic potential energy of coil for this orientation?The coil in the figure carries current i = 1.60 A in the direction indicated, is parallel to an xz plane, has 4 turns and an area of 3.01 x 10-3 m2, and lies in a uniform magnetic field B = (1.75i - 3.57j - 3.03k) mT. (a) What is the magnetic potential energy of the coil-magnetic field system? (b) What is the magnetic torque (in unit-vector notation) on the coil?
- A 13-cm length of wire is held along an east-west direction and moved horizontally to the north with a speed of 2.2 m/s in a region where the magnetic field of the earth is 55 micro-T directed 28° below the horizontal. What is the magnitude of the potential difference between the ends of the wire? Write your answer in micro-volts.(a) The bent wire shown in the figure lies in a uniform magnetic field. Each straight section is 256cm long and makes an angle of 0=63.8° with the x axis, and the wire carries a current of 1.79 A. What is the net magnetic force on the wire in unit-vector notation if the magnetic field is given by 4.95 k T? (b) A 3.40 kg body oscillates in SHM on a spring that, when extended 4.70 mm from its equilibrium position, has an 8.70 N restoring force. What is the capacitance of an LC circuit with the same period if L is 6.30 H?Suppose that the magnetic dipole moment of Earth is 6.5 x 1026 J/T. (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would be its radius? (b) What fraction of the volume of Earth would such a sphere occupy? The radius of Earth is 6.37 x 106 m. Assume complete alignment of the dipoles. The density of Earth's inner core is 12 g/cm3. The magnetic dipole moment of an iron atom is 2.1× 10 23 J/T. Iron has a molar mass of 55.9 g/mol. (Note: Earth's inner core is in fact thought to be in both liquid and solid forms and partly iron, but a permanent magnet as the source of Earth's magnetism has been ruled out by several considerations. For one, the temperature is certainly above the Curie point.) (a) Number i Units (b) Number i Units