Question

During a transcranial magnetic stimulation (TMS) treatment, a magnetic field, typically of magnitude 5.00 T, is produced in the brain using external coils. During the treatment, the current in the coils (and hence the magnetic field in the brain) rises from zero to its peak in about 70.0 μs. Assume that the magnetic field is uniform over a circular area of diameter 2.00 × 10-2 m inside the brain. What is the magnitude of the average induced emf around this region of the brain during the treatment?

Answer 1

Answer:

The magnitude of the average induced emf is 22.43 V.

Explanation:

Given that,

Magnetic field = 5.00 T

Diameter = 2.00\times10^{-2} m

Current $I= 70.0\ mu s$

We need to calculate the area

Using formula of area

$A=\pi r^2$

$A=3.14\times(\dfrac{2.00\times10^{-2}}{2})^2$

$A=0.000314\ m^2$

We need to calculate the induced emf

Using formula of induced emf

$\epsilon=A\dfrac{dB}{dt}$

$\epsilon=0.000314\times\dfrac{5.00-0}{70.0\times10^{-6}}$

$\epsilon=22.43\ V$

Hence, The magnitude of the average induced emf is 22.43 V.