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Exercise:
The em Hall coefficient A_H is defined by the relation Delta V_H A_HfracI Bd where V_H is the Hall voltage measured for a Hall sensor with thickness d a current I and a magnetic field B perpicular to sensor. abcliste abc Show that the Hall coefficient can be written as A_H fracn_e e where n_e is the concentration of free electrons and e the elementary charge. abc The Hall coefficient for aluminium is measured to be AO. Calculate the concentration of free electrons for aluminium and the Hall voltage for a sensor with a thickness dO a current IO and a magnetic field BO. abcliste

Solution:
abcliste abc The expression for the Hall voltage is Delta V_H fracI Bn_e d e Setting this equal to the definition of the Hall coefficient Delta V_H fracI Bn_e d e A_HfracI Bd we readily get the relation we are looking for. abc By solving the expression for the Hall coefficient we find n_e nF fracAtimes nce n approx resultnS The Hall voltage is given by Delta V_H VF AtimesfracItimes Bd V approx resultVP- abcliste
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Exercise:
The em Hall coefficient A_H is defined by the relation Delta V_H A_HfracI Bd where V_H is the Hall voltage measured for a Hall sensor with thickness d a current I and a magnetic field B perpicular to sensor. abcliste abc Show that the Hall coefficient can be written as A_H fracn_e e where n_e is the concentration of free electrons and e the elementary charge. abc The Hall coefficient for aluminium is measured to be AO. Calculate the concentration of free electrons for aluminium and the Hall voltage for a sensor with a thickness dO a current IO and a magnetic field BO. abcliste

Solution:
abcliste abc The expression for the Hall voltage is Delta V_H fracI Bn_e d e Setting this equal to the definition of the Hall coefficient Delta V_H fracI Bn_e d e A_HfracI Bd we readily get the relation we are looking for. abc By solving the expression for the Hall coefficient we find n_e nF fracAtimes nce n approx resultnS The Hall voltage is given by Delta V_H VF AtimesfracItimes Bd V approx resultVP- abcliste
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Magnetism
Tags
hall effect, magnetic field
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Difficulty
(2, default)
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Language
ENG (English)
Type
Calculative / Quantity
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