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 a magnetic dipole. Its dipole moment is given by the μ⃗ =μyj^+μzk^ which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B⃗ =((39.0)j^+(61.0)k^)×109Tesla. Some neutron stars can generate such intense magnetic field. When this magnetic field is applied, the bar magnet starts to rotate. At some instant during rotation, consider it as "position 1" of the dipole, it's torque is τ⃗ =(2892.875181053008)×1029.0i^N⋅m and potential energy is U=−3190.214598870666×1029.0J. a)Find the yand z component of magnetic dipole moment at this position? y component of the dipole moment z component of the dipole moment b)What is the angle between magnetic dipole moment and magnetic field in this position? angle between magnetic dipole moment and magnetic field c)Calculate the minimum potential energy the dipole moment can have in the applied magnetic field. minimum potential energy d)Find the yand z component of magnetic dipole moment at the minimum potential energy position? y component of the dipole moment z component of the dipole moment
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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 a magnetic dipole. Its dipole moment is given by the μ⃗ =μyj^+μzk^ which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B⃗ =((39.0)j^+(61.0)k^)×109Tesla. Some neutron stars can generate such intense magnetic field. When this magnetic field is applied, the bar magnet starts to rotate. At some instant during rotation, consider it as "position 1" of the dipole, it's torque is τ⃗ =(2892.875181053008)×1029.0i^N⋅m and potential energy is U=−3190.214598870666×1029.0J.
- a)Find the yand z component of magnetic dipole moment at this position?
y component of the dipole moment
z component of the dipole moment
- b)What is the angle between magnetic dipole moment and magnetic field in this position?
angle between magnetic dipole moment and magnetic field
- c)Calculate the minimum potential energy the dipole moment can have in the applied magnetic field.
minimum potential energy
- d)Find the yand z component of magnetic dipole moment at the minimum potential energy position?
y component of the dipole moment
z component of the dipole moment
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