Final answer:
The magnetic field strength at a distance of 6 meters from the center of a 3T magnet, when a 6mT/M gradient pulse is applied, would be 2.964T. This is well within the capabilities of today's technology.
Step-by-step explanation:
The question asks about the magnetic field strength at a certain distance from the center of a magnet when a particular gradient pulse is applied. To find this, you multiply the gradient by the distance from the center. So, with a 6mT/M gradient and a distance of 6 meters, the additional magnetic field is 6mT/M × 6m, which equals 36mT or 0.036T.
Since the magnet itself has a strength of 3T, the total magnetic field strength 6 meters away from the center when the gradient pulse is applied would be 3T - 0.036T, which equals 2.964T. It is important to note that subtractions are used because the gradient typically denotes how much the field decreases per meter as you move away from the center of the magnet.
This strength of magnetic field is definitely obtainable with today's technology. Magnetic fields of 0.500T are possible with permanent magnets, while superconducting electromagnets may reach fields greater than 10 T.