Please answer all. A planet with earth like magnetic field can be considered as a bar magnet. Suppose, we have such a bar magnet. We will treat it amagnetic dipole. Its dipole moment is given by the i = Hyj+ µ;k which remains unchanged without the application of externalmagnetic field. Suppose, a uniform magnetic field given by, B = ((-40.0) j + (-35.0) k) × 10º Tesla. Some neutron stars cangenerate such intense magnetic field. When this magnetic field is applied, the bar magnet starts to rotate. At some instant duringrotation, consider it as "position 1" of the dipole, it's torque is 7 = (2055.2023883969796) × 1029.0 i N · m and potential energyis U = -2890.651854292964 × 1029.0J.a) Find the y and z component of magnetic dipole moment at this position?y component of the dipole momentGive your answer to at least three significance digits.z component of the dipole momentGive your answer to at least three significance digits.b) What is the angle between magnetic dipole moment and magnetic field in this position?angle between magnetic dipole moment and magnetic fieldGive your answer to at least three significance digits.c) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field.minimum potential energyGive your answer to at least three significance digits.d) Find the y and z component of magnetic dipole moment at the minimum potential energy position?y component of the dipole momentGive your answer to at least three significance digits.z component of the dipole momentGive your answer to at least three significance digits.e) How much energy is lost by the bar magnet when it comes to minimum potential energy position from position 1?absolute value of the lost energyGive your answer to at least three significance digits.f) What is the magnitude of magnetic dipole moment before it starts to rotate and at position 1?magnitude of magnetic dipole moment beforeGive your answer to at least three significance digits.magnitude of magnetic dipole moment at position 1Give your answer to at least three significance digits.g) How much external energy is required to keep the dipole in maximum potential energy position?

Question

Please answer all. A planet with earth like magnetic field can be considered as a bar magnet. Suppose, we have such a bar magnet. We will treat it amagnetic dipole. Its dipole moment is given by the i = Hyj+ µ;k which remains unchanged without the application of externalmagnetic field. Suppose, a uniform magnetic field given by, B = ((-40.0) j + (-35.0) k) × 10º Tesla. Some neutron stars cangenerate such intense magnetic field. When this magnetic field is applied, the bar magnet starts to rotate. At some instant duringrotation, consider it as &#34;position 1&#34; of the dipole, it's torque is 7 = (2055.2023883969796) × 1029.0 i N · m and potential energyis U = -2890.651854292964 × 1029.0J.a) Find the y and z component of magnetic dipole moment at this position?y component of the dipole momentGive your answer to at least three significance digits.z component of the dipole momentGive your answer to at least three significance digits.b) What is the angle between magnetic dipole moment and magnetic field in this position?angle between magnetic dipole moment and magnetic fieldGive your answer to at least three significance digits.c) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field.minimum potential energyGive your answer to at least three significance digits.d) Find the y and z component of magnetic dipole moment at the minimum potential energy position?y component of the dipole momentGive your answer to at least three significance digits.z component of the dipole momentGive your answer to at least three significance digits.e) How much energy is lost by the bar magnet when it comes to minimum potential energy position from position 1?absolute value of the lost energyGive your answer to at least three significance digits.f) What is the magnitude of magnetic dipole moment before it starts to rotate and at position 1?magnitude of magnetic dipole moment beforeGive your answer to at least three significance digits.magnitude of magnetic dipole moment at position 1Give your answer to at least three significance digits.g) How much external energy is required to keep the dipole in maximum potential energy position?

Accepted Answer

The magnetic dipole moment is given by:
U=2890.65×1029 Jμ→=μy j+μz kThe magnetic field is, B→=-40…