A student makes a short electromagnet by winding 480 turns of wire around a wooden cylinder of diameter d = 4.9 cm. The coil is connected to a battery producing a current of 4.2 A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z >> d will the magnetic field have the magnitude 4.4 µT (approximately one-tenth that of Earth's magnetic field)?

A student makes a short electromagnet by winding 480 turns of wire around a wooden cylinder of diameter d = 4.9 cm. The coil is connected to a battery producing a current of 4.2 A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z >> d will the magnetic field have the magnitude 4.4 µT (approximately one-tenth that of Earth's magnetic field)?

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A student makes a short electromagnet by winding 390 turns of wire around a wooden cylinder of diameter d = 4.1 cm. The coil is connected to a battery producing a current of 4.1A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z>> dwill the magnetic field have the magnitude 4.8 µT (approximately one-tenth that of Earth's magnetic field)? (a) Number i Units (b) Number i Units
A circular coil of 205 turns has a radius of 1.84 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 3.44 A-m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 46.8 mT magnetic field. (a) Number Units (b) Number Units
A magnetic dipole with a dipole moment of magnitude 0.016 J/T is released from rest in a uniform magnetic field of magnitude 58 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.60 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? _____________°(b) What is the angle between the dipole moment and the magnetic field when the dipole is next (momentarily) at rest? ______________°
A student makes a short electromagnet by winding 530 turns of wire around a wooden cylinder of diameter d = 4.4 cm. The coil is connected to a battery producing a current of 4.1 A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z >> d will the magnetic field have the magnitude 6.7 µT (approximately one-tenth that of Earth's magnetic field)?
A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 3.65E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the radius of the cyclotron orbit trajectory that this particle will move along (in m)?
A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 3.65E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the radius of the cyclotron orbit trajectory that this particle will move along (in m)?
A magnetic dipole with a dipole moment of magnitude 0.0306 J/T is released from rest in a uniform magnetic field of magnitude 57.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.573 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle when the dipole is next (momentarily) at rest?
A circular coil of 216 turns has a radius of 2.29 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 2.64 A·m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 52.5 mT magnetic field. (a) Number Units (b) Number i Units
A circular wire loop of radius 16.4 cm carries a current of 3.19 A. It is placed so that the normal to its plane makes an angle of 39.1° with a uniform magnetic field of magnitude 11.2 T. (a) Calculate the magnitude of the magnetic dipole moment of the loop in amperes- square meters. (b) What is the magnitude of the torque acting on the loop? (a) Number i (b) Number i Units Units <
A circular coil of 189 turns has a radius of 1.62 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 3.16 A-m². (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 33.7 mT magnetic field. (a) Number i (b) Number i Units Units
A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 2.41E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the the magnetic force that B exerts on the particle (in N; use positive sign if the force points in the +x direction and negative sign if the force points in the −x direction)?
A current of strength I=1A flows through the copper wire. The wire consists of two straight parts between points A(1,2,3)cm and B(1,3,2)cm and between points B and C(2,1,3)cm. The wire is located in a homogeneous magnetic field of induction B=1T. a) If the total force on the wire is 0, calculate the direction of the magnetic field. b) If we rotate the direction of the magnetic field so that the total force on the wire is the largest, calculate the maximum possible force on the wire.