The unit of Tesla is also equal to which one of the following: 0 Mm A 0 NAm N Am NA m
The Correct Answer and Explanation is:
The correct answer is N / (Am).
The Tesla (T) is the SI derived unit used to measure magnetic flux density, which is more commonly known as the strength of a magnetic field. To understand why a Tesla is equivalent to a Newton per Ampere-meter, we can look at the fundamental formula for the magnetic force experienced by a current-carrying wire.
The magnetic force (F) acting on a straight wire of length (L) carrying a current (I) placed in a uniform magnetic field (B) is given by the equation F = I * L * B. This formula applies when the wire is perpendicular to the magnetic field, resulting in the maximum possible force.
To find the units of the magnetic field (B), we can rearrange this formula to solve for B:
B = F / (I * L)
Now, we can substitute the standard SI units for each of the quantities on the right side of the equation:
- The unit for force (F) is the Newton (N).
- The unit for electric current (I) is the Ampere (A).
- The unit for length (L) is the meter (m).
By substituting these units into the rearranged formula, we can determine the equivalent units for the Tesla:
Tesla (T) = Newtons / (Amperes × meters) or T = N / (A·m).
This combination of units, the Newton per Ampere-meter, directly corresponds to the third option provided in the question. The other options represent incorrect combinations of these physical units. For instance, N·m is a unit of work or torque (Joule), not directly related to magnetic field strength in this manner. Therefore, the unit of Tesla is fundamentally defined by the force it exerts per unit of current and per unit of length.
