Final answer:
The drift velocity can be determined from known Hall effect measurements by rearranging the equation for Hall voltage to solve for drift velocity. By plugging in the measured values for Hall voltage, magnetic field strength, and thickness of the metal into the equation, the drift velocity is calculable.
Step-by-step explanation:
Determining Drift Velocity from Hall Effect Measurements
To determine the drift velocity (vd) of charge carriers in a metal due to a current in the presence of a magnetic field, you can use the Hall effect. The Hall effect relates the induced Hall voltage (VH), magnetic field strength (B), thickness (d), current (I), and charge carrier density (n) to the drift velocity using the formula:
VH = B * d * vd / n
In the given problem, we are not asked to determine the charge carrier density, rather we are provided with the induced Hall voltage (6.1 μV), the magnetic field strength (0.90 T), the thickness of the sample (690 μm converted to meters is 0.00069 m), and the current (44 A). Since the width and density of the metal are not provided, it's assumed that they are not needed for the calculation. Using the provided values, we can solve for the drift velocity (vd).
The drift velocity is given by:
vd = VH / (B * d)
Plugging in the known values:
vd = (6.1 × 10^-6 V) / (0.90 T * 0.00069 m)
Upon calculating this, we find the drift velocity of charge carriers in the metal in meters per second (m/s), which provides insight into the behavior of charges under the influence of a magnetic field. This is relevant in materials science and electrical engineering, and it is an application of semiconductor physics.