Use the expression: ( )F q v B ,= × to define the SIunit of magnetic field.
Question
Use the expression:
to define the SI unit of magnetic field.
Solution
The expression F = q(v × B) is the equation for the magnetic force on a moving charge in a magnetic field. Here:
- F is the force (measured in Newtons, N)
- q is the charge (measured in Coulombs, C)
- v is the velocity (measured in meters per second, m/s)
- B is the magnetic field (measured in Tesla, T)
The equation can be rearranged to solve for B:
B = F / (q × v)
From this, we can see that the SI unit for the magnetic field, the Tesla (T), can be defined as:
1 Tesla = 1 Newton / (1 Coulomb × 1 meter/second)
So, the Tesla is equivalent to a Newton per Coulomb meter per second (N/(C·m/s)).
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