Please answer part a, b and c for me, kindly. Thank you

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Please answer part a, b and c for me, kindly. Thank you

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Use the following constants if necessary. Coulomb constant, k=8.987×10^9N•m2/C2.
Vacuum permittivity, eo=8.854×10^-12F/m. Magnitude of the Charge of one
electron, e=-1.60217662×10^-19C. Mass of one
electron, me=9.10938356×10^-31kg. Unless specified otherwise, each symbol carries
their usual meaning. For example, µC means microcoulomb.
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 u =µyj^+µzk^ which remains unchanged without the application of external
magnetic field. Suppose, a uniform magnetic field given
by, B =((31.0)^+(31.0)k^)×10^9Tesla. 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 t =(2669.072167331446)×10^29.0i^^N•m and potential energy
is U=-2471.64393988629×10^29.0J.
a) Find the y and z component of magnetic dipole moment at this position and the
angle between magnetic dipole moment and magnetic field in this position?
b) Calculate the minimum potential energy the dipole moment can have in the
applied magnetic field.
c) Find the y and z component of magnetic dipole moment at the minimum
potential energy position?
d) How much energy is lost by the bar magnet when it comes to minimum potential
energy position from position 1?
e) What is the magnitude of magnetic dipole moment before it starts to rotate and
at position 1?
f) How much external energy is required to keep the dipole in maximum potential
energy position?
Page 1 of 1
254 words
English (United States)
Y Accessibility: Good to go
DFocus
+ 149%
17
!!! lili
17
Transcribed Image Text:AutoSave Document1 - Word O Search (Alt+Q) Sajjad Choudhury ff SC File Home Insert Draw Design Layout References Mailings Review View Help Acrobat O Comments A Share X Cut A A Aa v A E E E O Find Segoe UI v 12 G Copy Heading 1 Title Normal No Spacing Heading 2 Subtitle Replace Paste B IUV ab x, x A A Create and Share Request Dictate Editor Format Painter A Select v Adobe PDF Signatures Undo Clipboard Font Paragraph Styles Editing Adobe Acrobat Voice Editor Use the following constants if necessary. Coulomb constant, k=8.987×10^9N•m2/C2. Vacuum permittivity, eo=8.854×10^-12F/m. Magnitude of the Charge of one electron, e=-1.60217662×10^-19C. Mass of one electron, me=9.10938356×10^-31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb. 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 u =µyj^+µzk^ which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B =((31.0)^+(31.0)k^)×10^9Tesla. 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 t =(2669.072167331446)×10^29.0i^^N•m and potential energy is U=-2471.64393988629×10^29.0J. a) Find the y and z component of magnetic dipole moment at this position and the angle between magnetic dipole moment and magnetic field in this position? b) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field. c) Find the y and z component of magnetic dipole moment at the minimum potential energy position? d) How much energy is lost by the bar magnet when it comes to minimum potential energy position from position 1? e) What is the magnitude of magnetic dipole moment before it starts to rotate and at position 1? f) How much external energy is required to keep the dipole in maximum potential energy position? Page 1 of 1 254 words English (United States) Y Accessibility: Good to go DFocus + 149% 17 !!! lili 17
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