Final answer:
The weakest magnetic field variation that can be measured at 3 meters from the center with a 6mT/m gradient on top of a 1.5 T field is 0.018 T, leading to a total magnetic field strength of 1.518 T. The closest standard measure provided in the options is A) 1.5 Tesla.
Step-by-step explanation:
The question is asking to calculate the weakest magnetic field variation that can be measured 3 meters from the center of a 1.5 T magnetic field with a given gradient of 6 mT/m. To find this, we multiply the gradient by the distance:
Gradient: 6 mT/m = 6 × 10-3 T/m
Distance: 3 m
Magnetic field variation (B) = Gradient × Distance = 6 × 10-3 T/m × 3 m = 18 × 10-3 T = 1.8 × 10-2 T = 0.018 T
This variation is the additional magnetic field strength on top of the base 1.5 T field. The total magnetic field strength 3 meters away from the center is therefore 1.5 T + 0.018 T = 1.518 T. However, since the options provided do not include 1.518 Tesla, we must choose the closest lower standard measure provided, which is A) 1.5 Tesla.