Calculate the Current in a Magnetic Field

What was the current during this measurement? State the current in Amp units.

Assume a rectangular strip of a material with an electron density of n=5.8x10^20 cm^-3. The strip is 9 mm wide and 0.2 mm thick and it is in a magnetic field of 7 T pointing out of the paper plane. The Hall voltage is measured to be 1.3 mV.

Answer:

The current during this measurement was 111.69 A.

To determine the current during the measurement, we can use the formula relating the Hall voltage, magnetic field, current, and sample dimensions. The given information includes the electron density, strip dimensions, magnetic field, and Hall voltage.

The formula for Hall voltage (VH) is VH = (BId)/(ne), where B is the magnetic field, I is the current, d is the thickness of the strip, n is the electron density, and e is the charge of an electron.

Given VH = 1.3 mV, B = 7 T, d = 0.2 mm, and n = 5.8x10^20 cm^-3, we can rearrange the formula to solve for the current, I: I = (VHne)/(Bd).

Substituting the given values, we find that the current is 111.69 A.

Therefore, by plugging in the given values into the formula, we can determine the current in Amperes during the measurement.