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Alisha Vira edited basic_equations_and_physics__.tex
over 8 years ago
Commit id: 16077aa4a5aec314ece19ead433d34b92c45f09e
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basic equations and physics \\
Larmor precession\\
A proton in a magnetic field experiences a magnetic torque that aligns the proton magnetic moment with the field. Due to the angular momentum and spin, the proton's motion is a precession about the magnetic field. Mathematically, the precession frequency would be around
$$f=\frac{\omega}{2\pi}= \frac{\gamma B_{e}}{2\pi}$$
$$B_{e}= \text{earth's magnetic field} \approx 50 \mu T$$
$$\gamma= 2.675 \cdot 10^8 \frac{1}{s\cdot T}$$
$$\therefore f\approx 2.1 kHz$$
