If the magnetic flux is expressed in weber, then magnetiv induction can be expressed in

Options

A. Weber/`m^(2)`
B. Weber/m
C. Weber-m
D. Weber-`m^(2)`

Answer

To solve the question, we need to understand the relationship between magnetic flux and magnetic induction (magnetic field).

### Step-by-Step Solution:

1. **Understanding Magnetic Flux**:
Magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which the field lines pass, taking into account the angle (θ) between the magnetic field and the normal to the surface. The formula is given by:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]

2. **Units of Magnetic Flux**:
The unit of magnetic flux is the weber (Wb).

3. **Rearranging the Formula**:
To find the magnetic induction (B), we can rearrange the formula for magnetic flux:
\[ B = \frac{\Phi}{A \cdot \cos(\theta)} \]

4. **Understanding the Area**:
The area (A) is measured in square meters (m²), and cos(θ) is dimensionless (unitless).

5. **Finding the Unit of Magnetic Induction**:
Since the unit of magnetic flux (Φ) is weber (Wb) and the unit of area (A) is square meters (m²), we can express the unit of magnetic induction (B) as:
\[ \text{Unit of } B = \frac{\text{Unit of } \Phi}{\text{Unit of } A} = \frac{\text{Wb}}{\text{m}^2} \]

6. **Conclusion**:
Therefore, the magnetic induction can be expressed in weber per square meter (Wb/m²).

### Final Answer:
Magnetic induction can be expressed in weber per square meter (Wb/m²).

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