Question

A patient with a pacemaker is mistakenly being scanned for an MRI image. A 10.0-cm-long section of pacemaker wire moves at a speed of 10.0 cm/s perpendicular to the MRI unit’s magnetic field, and a 20.0-mV Hall voltage is induced. What is the magnetic field strength?

a) 0.2 T
b) 1.0 T
c) 2.0 T
d) 4.0 T

Answer 1

Using the Hall voltage formula and the given values for wire length and velocity, the magnetic field strength is calculated to be 2.0 Tesla.

Step-by-step explanation:

To calculate the magnetic field strength induced by the movement of a pacemaker wire in an MRI magnetic field, we use the formula for the Hall voltage (VH):

VH = B * l * v

Where:

• B is the magnetic field strength in Tesla (T)
• l is the length of the wire in meters (m)
• v is the velocity of the wire in meters per second (m/s)
• VH is the Hall voltage in volts (V)

We are given the following values:

• l = 10.0 cm = 0.10 m
• v = 10.0 cm/s = 0.10 m/s
• VH = 20.0 mV = 0.020 V

Now we rearrange the formula to solve for B:

B = VH / (l * v)

Plugging in the values we have:

B = 0.020 V / (0.10 m * 0.10 m/s) = 2.0 T

Therefore, the magnetic field strength is 2.0 Tesla.