Physics 9702 · AS & A Level · Concept of a magnetic field

Concept of a magnetic field — practice question

A person is going to be examined with a magnetic resonance (MR) scanner.
(a)[4]

This method uses two superimposed magnetic fields. Describe the roles of these two magnetic fields.

(b(i))[1]

The frequency $f$ of the electromagnetic waves emitted by protons on relaxation in an MR scanner is described by the equation $f = 2cB$, where $B$ is the total magnetic flux density and $c$ is a constant equal to $1.34 \times 10^8\,\text{s}^{-1}\,\text{T}^{-1}$. The magnetic flux density changes by $2.0 \times 10^{-4}\,\text{T}$ for every $1.0\,\text{cm}$ thickness of tissue in a section. The scanner is adjusted so that each section is $3.0\,\text{mm}$ thick. Calculate, for matching points in adjacent sections, the difference in magnetic flux density.

(b(ii))[2]

Calculate the difference in emitted frequency.

(b)

The frequency $f$ of the electromagnetic waves emitted by protons on relaxation in an MR scanner is described by the equation $f = 2cB$ where $B$ is the total magnetic flux density and $c$ is a constant equal to $1.34 \times 10^8\ \text{s}^{-1}\,\text{T}^{-1}$. The magnetic flux density changes by $2.0 \times 10^{-4}\ \text{T}$ for each $1.0\ \text{cm}$ thickness of tissue in a section. The scanner is adjusted so that each section is $3.0\ \text{mm}$ thick. Calculate, for matching points in adjacent sections:

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