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Mobility of free electron in a current carrying conductor is proportional to
- a)Electric field
- b)Potential difference
- c)Relaxation time
- d)Resistivity
Correct answer is option 'C'. Can you explain this answer?
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Mobility of free electron in a current carrying conductor is proporti...
Relaxation Time and Mobility of Free Electrons in a Conductor
The mobility of free electrons in a current-carrying conductor is directly proportional to the relaxation time.
What is Relaxation Time?
Relaxation time is the average time taken by an electron between successive collisions in a conductor. It is a measure of how quickly an electron can move through a material before colliding with an obstacle, such as an impurity or lattice defect.
Relation between Relaxation Time and Mobility
The mobility of free electrons in a material is defined as the ratio of the drift velocity of electrons to the applied electric field. It is denoted by the symbol μ. Mathematically, μ = vd/E, where vd is the drift velocity and E is the electric field.
How Relaxation Time Affects Mobility
The relationship between relaxation time and mobility can be understood by the equation for drift velocity, vd = eEτ/m, where e is the charge of an electron, E is the electric field, τ is the relaxation time, and m is the mass of the electron. From this equation, it is clear that mobility is directly proportional to the relaxation time.
Therefore, the mobility of free electrons in a current-carrying conductor is proportional to the relaxation time. This means that a longer relaxation time allows electrons to move more freely through the material, resulting in a higher mobility.
The mobility of free electrons in a current-carrying conductor is directly proportional to the relaxation time.
What is Relaxation Time?
Relaxation time is the average time taken by an electron between successive collisions in a conductor. It is a measure of how quickly an electron can move through a material before colliding with an obstacle, such as an impurity or lattice defect.
Relation between Relaxation Time and Mobility
The mobility of free electrons in a material is defined as the ratio of the drift velocity of electrons to the applied electric field. It is denoted by the symbol μ. Mathematically, μ = vd/E, where vd is the drift velocity and E is the electric field.
How Relaxation Time Affects Mobility
The relationship between relaxation time and mobility can be understood by the equation for drift velocity, vd = eEτ/m, where e is the charge of an electron, E is the electric field, τ is the relaxation time, and m is the mass of the electron. From this equation, it is clear that mobility is directly proportional to the relaxation time.
Therefore, the mobility of free electrons in a current-carrying conductor is proportional to the relaxation time. This means that a longer relaxation time allows electrons to move more freely through the material, resulting in a higher mobility.
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Mobility of free electron in a current carrying conductor is proporti...
Mobility of free electron depend upon relaxation time
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Mobility of free electron in a current carrying conductor is proportional toa)Electric fieldb)Potential differencec)Relaxation timed)ResistivityCorrect answer is option 'C'. Can you explain this answer?
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