What is the equivalent value of 1 T/m in g/cm?

To understand why 1 T/m (Tesla per meter) is equivalent to 100 g/cm, it is essential to delve into the relationship between magnetic field gradients and their effects on motion. The unit of Tesla represents the strength of the magnetic field, while meters and centimeters are units of length.

The conversion from T/m to g/cm is based on the fact that 1 Tesla is equal to 10,000 gauss (G), and 1 meter equals 100 centimeters. Therefore, when you express 1 T/m in terms of g/cm, you can break it down as follows:

1 T/m = 10,000 G/m

Now, converting meters to centimeters:

1 m = 100 cm

So 10,000 G/m can be rewritten in terms of g/cm:

10,000 G/m = 10,000 G/100 cm = 100 G/cm

Since 1 G is equal to 1 g/cm in these contexts, it becomes straightforward to see that 1 T/m corresponds to 100 g/cm. This understanding establishes the correct conversion and justifies why the equivalent value of 1 T/m is indeed 100 g/cm.