If the thickness of the probe in the direction of B is 1.97 mm, calculate the charge-carrier density (each of charge e).
To calculate the charge-carrier density, we need to know the following information:
1. The thickness of the probe (d): The thickness of the probe in the direction of B is given as 1.97 mm.
2. The charge of each carrier (e): The charge of each carrier is denoted as e.
The formula to calculate the charge-carrier density (n) is:
n = 1 / (e * d)
Now, let's plug in the values into the formula:
n = 1 / (e * 1.97 mm)
Since the value for the thickness is given in millimeters, we need to convert it to meters to maintain consistent units. We know that 1 mm is equal to 0.001 meters.
So, the formula becomes:
n = 1 / (e * 0.00197 m)
Now, we need to know the value of e, which represents the charge of each carrier. Typically, this value is given or known in the context of the problem or experiment you are dealing with. For example, in an electron system, the value of e is approximately 1.6x10^-19 C.
Let's assume the value of e is 1.6x10^-19 C.
Now, we can substitute this value into the equation:
n = 1 / (1.6x10^-19 C * 0.00197 m)
Calculating the right side of the equation will give us the charge-carrier density (n).