Magnetic dipole moment of a revolving electron | video in HINDI | EduPoint
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8 سال پیش
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In this Physics video lecture
In this Physics video lecture we evaluated the magnetic dipole moment of a revolving electron from the known equation of the magnetic dipole moment of a current carrying circular loop which is equivalent to a bar magnet. The dipole moment of a circular loop carrying current is the dipole moment of a bar magnet which creates the same magnetic field around it as the current loop does.
We know that magnetic dipole moment of a current loop,
M ⃗ = I A ⃗ ……….…………………..(1)
where, I is current in the loop and A is the area of the loop.
Click here to watch the video in which we derived the equation for the magnetic dipole moment of a current carrying circular loop :
Magnetic dipole moment of a current c...
Let the period of orbital motion of an electron be T. then the electron crosses any point on its orbit after every T seconds or 1/T times in one second. Therefore, the equivalent current due to the orbital motion of the electron is,
I = - e 1/T ….…………………..(2)
Now, if r is the radius of the path of the electron and v be its speed,
T = 2πr/v ………………………….(3)
From eqn (2) and eqn (3) we have,
I = - e v/2πr …………………….(4)
Putting the value of I from eqn (4) to eqn (1) we have,
M = - e v/2πr A
Or, M = - e v/2πr πr^2
Or, M = - (e v r)/2 …………………….(5)
We know that angular momentum of an electron,
L = m_e v r ………………….(6)
where, m_e is the mass of an electron.
From eqn (5) and eqn (6) we have,
M = - e/(2 m_e ) L
In vector notation,
M ⃗ = - e/(2 m_e ) L ⃗
This Hindi video tutorial on the topic of Magnetism is very helpful for class 12 students and IIT JEE aspirants.
Click to visit the homepage of our channel : @edupoint.physics
Arijit Daripa
EduPoint,
Dam Road,
Chandil,
Dist- Seraikela-Kharsawan,
Jharkhand,
India.
We know that magnetic dipole moment of a current loop,
M ⃗ = I A ⃗ ……….…………………..(1)
where, I is current in the loop and A is the area of the loop.
Click here to watch the video in which we derived the equation for the magnetic dipole moment of a current carrying circular loop :
Magnetic dipole moment of a current c...
Let the period of orbital motion of an electron be T. then the electron crosses any point on its orbit after every T seconds or 1/T times in one second. Therefore, the equivalent current due to the orbital motion of the electron is,
I = - e 1/T ….…………………..(2)
Now, if r is the radius of the path of the electron and v be its speed,
T = 2πr/v ………………………….(3)
From eqn (2) and eqn (3) we have,
I = - e v/2πr …………………….(4)
Putting the value of I from eqn (4) to eqn (1) we have,
M = - e v/2πr A
Or, M = - e v/2πr πr^2
Or, M = - (e v r)/2 …………………….(5)
We know that angular momentum of an electron,
L = m_e v r ………………….(6)
where, m_e is the mass of an electron.
From eqn (5) and eqn (6) we have,
M = - e/(2 m_e ) L
In vector notation,
M ⃗ = - e/(2 m_e ) L ⃗
This Hindi video tutorial on the topic of Magnetism is very helpful for class 12 students and IIT JEE aspirants.
Click to visit the homepage of our channel : @edupoint.physics
Arijit Daripa
EduPoint,
Dam Road,
Chandil,
Dist- Seraikela-Kharsawan,
Jharkhand,
India.
8 سال پیش
در تاریخ 1395/10/09 منتشر شده
است.
96,736
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