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Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ?
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Is dimensional formula for magnetic moment, dipole moment, electromagn...
Dimensional Formula for Magnetic Moment, Dipole Moment, and Electromagnetic Moment
Magnetic Moment
Magnetic moment is the product of the pole strength and the distance between the poles of a magnet. It is denoted by M and its dimensional formula is:
[M] = [I] L2 T-1
- [M] represents the dimensional formula of magnetic moment.
- [I] represents the dimensional formula of electric current.
- L represents the dimensional formula of length.
- T represents the dimensional formula of time.
Dipole Moment
Dipole moment is the product of the magnitude of the charge and the distance between the charges of a dipole. It is denoted by p and its dimensional formula is:
[p] = [Q] L
- [p] represents the dimensional formula of dipole moment.
- [Q] represents the dimensional formula of electric charge.
- L represents the dimensional formula of length.
Electromagnetic Moment
Electromagnetic moment is the product of the electric dipole moment and the magnetic moment. It is denoted by K and its dimensional formula is:
[K] = [Q][M] L
- [K] represents the dimensional formula of electromagnetic moment.
- [Q] represents the dimensional formula of electric charge.
- [M] represents the dimensional formula of magnetic moment.
- L represents the dimensional formula of length.
Conclusion
From the above discussion, it is clear that the dimensional formula for magnetic moment, dipole moment, and electromagnetic moment is not the same. The dimensional formula for magnetic moment includes electric current, length, and time, while the dimensional formula for dipole moment includes electric charge and length. The dimensional formula for electromagnetic moment includes electric charge, magnetic moment, and length.
Community Answer
Is dimensional formula for magnetic moment, dipole moment, electromagn...
Electric dipole moment is p= 2lq,where 2l is distance between two unlike but equal charges.
From this formula the unit of p are Cm.
Now, ampere being fundamental unit we have to write C as A-s. Therefore unit of p in terms of fundamental units is
Asm. So dimensions are
[M^0L^1T^1A^1]
While solving questions related to finding dimensional formulae, think about writing the given physical quantity in terms of other physical quantities whose dimensional formula is known.
The magnitude of magnetic moment for a closed loop is proportional to:
Current[M^0L^ 0 ^T ^0 A ^ 1]
Area of the loop[M^0 L^ 2T^ 0 A^ 0 ]
Therefore the dimensional formula for magnetic moment = [M^0 L ^2T^ 0 A ^1 ]
From this formula the unit of p are Cm.
Now, ampere being fundamental unit we have to write C as A-s. Therefore unit of p in terms of fundamental units is
Asm. So dimensions are
[M^0L^1T^1A^1]
While solving questions related to finding dimensional formulae, think about writing the given physical quantity in terms of other physical quantities whose dimensional formula is known.
The magnitude of magnetic moment for a closed loop is proportional to:
Current[M^0L^ 0 ^T ^0 A ^ 1]
Area of the loop[M^0 L^ 2T^ 0 A^ 0 ]
Therefore the dimensional formula for magnetic moment = [M^0 L ^2T^ 0 A ^1 ]
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Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ?
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Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ?.
Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is dimensional formula for magnetic moment, dipole moment, electromagnetic moment same ?.
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