Question

A nonmechanical water meter could utilize the Hall effect by applying a magnetic field across a metal pipe and measuring the Hall voltage produced. What is the average fluid velocity in a 3.00 cm diameter pipe, if a 0.500 T field across it creates a 60.0 mV Hall voltage?

a) 1.0 m/s
b) 2.0 m/s
c) 3.0 m/s
d) 4.0 m/s

Answer 1

The average fluid velocity in a 3.00 cm diameter pipe, given a 0.500 T magnetic field and a 60.0 mV Hall voltage, is 2.0 m/s.

Step-by-step explanation:

The average fluid velocity in a pipe can be calculated using the equation:

v = (2 * E * V) / (B * d)

Where v is the average fluid velocity, E is the electric field or Hall voltage, V is the Hall voltage, B is the applied magnetic field, and d is the diameter of the pipe.

Plugging in the given values, we get:

v = (2 * 60.0 mV * 0.500 T) / (0.0300 m)

Simplifying the equation gives the average fluid velocity v = 2.0 m/s. Therefore, the correct answer is option b) 2.0 m/s