Step 1: Understanding the Concept:
Magnetic induction, also known as magnetic flux density, measures the strength of the magnetic field in a given region.
It represents the amount of magnetic flux through a unit area perpendicular to the direction of the magnetic field.
Step 2: Key Formula or Approach:
The relationship between magnetic flux (\( \Phi \)), magnetic induction (\( B \)), and area (\( A \)) is:
\[ \Phi = B \cdot A \]
Therefore, \( B = \frac{\Phi}{A} \).
Step 3: Detailed Explanation:
The SI unit of magnetic flux \( \Phi \) is Weber (Wb).
The SI unit of area \( A \) is square meters (\( \text{m}^2 \)).
Thus, the SI unit of magnetic induction is Weber per square meter (\( \text{Wb/m}^2 \)).
This unit is named Tesla (T) in honor of Nikola Tesla.
Let us review the other options:
(A) Weber is the SI unit of magnetic flux.
(C) Henry is the SI unit of inductance.
(D) Gauss is the CGS unit of magnetic induction (\( 1\text{ T} = 10^4\text{ G} \)).
Step 4: Final Answer:
The SI unit of magnetic induction is Tesla.