1 Tesla =

Options

A. 1 Wb/m
B. 1 J/AM
C. 1 N/Am
D. 1Am/N

Answer

To find the value of 1 Tesla in terms of other units, we can start by understanding the definition of Tesla and its relation to other physical quantities.

### Step-by-Step Solution:

1. **Definition of Tesla**:
Tesla (T) is the SI unit of magnetic flux density (or magnetic field strength). It is defined as one weber per square meter.

\[ 1 \, \text{Tesla} = 1 \, \text{Weber/m}^2 \]

2. **Understanding Weber**:
The weber (Wb) is the SI unit of magnetic flux. It can be expressed in terms of other fundamental units. The definition of weber is derived from the equation for magnetic flux:

\[ 1 \, \text{Weber} = 1 \, \text{Volt} \cdot \text{second} \]

3. **Expressing Volt in Fundamental Units**:
The volt (V) can be expressed in terms of other SI units. It is defined as:

\[ 1 \, \text{Volt} = 1 \, \text{Joule/Coulomb} = 1 \, \text{kg} \cdot \text{m}^2/\text{s}^3 \cdot \text{C}^{-1} \]

4. **Substituting for Weber**:
Now, substituting the expression for volt into the definition of weber:

\[ 1 \, \text{Weber} = 1 \, \text{Volt} \cdot \text{second} = (1 \, \text{kg} \cdot \text{m}^2/\text{s}^3 \cdot \text{C}^{-1}) \cdot \text{s} = 1 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \cdot \text{C}^{-1} \]

5. **Substituting Weber into Tesla**:
Now we can substitute this expression for weber back into the definition of tesla:

\[ 1 \, \text{Tesla} = \frac{1 \, \text{Weber}}{1 \, \text{m}^2} = \frac{1 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \cdot \text{C}^{-1}}{1 \, \text{m}^2} = \frac{1 \, \text{kg}}{\text{s}^2 \cdot \text{C}} \]

6. **Final Expression**:
Therefore, we can conclude that:

\[ 1 \, \text{Tesla} = 1 \, \frac{\text{kg}}{\text{s}^2 \cdot \text{C}} \]

### Summary:
Thus, the final answer is:

\[ 1 \, \text{Tesla} = 1 \, \frac{\text{kg}}{\text{s}^2 \cdot \text{C}} \]