1 T equals

Options

A. `1 NA ^(-1)m ^(-1)`
B. `1NA^(-1) T`
C. `1NAm^(2)`
D. none of these

Answer

To find the equivalent of 1 Tesla, we can follow these steps:

### Step 1: Understand the Definition of Tesla
1 Tesla (T) is defined as the magnetic flux density that produces a force of 1 Newton on a 1-meter length of wire carrying a current of 1 Ampere, placed perpendicular to the magnetic field.

### Step 2: Write the Formula
From the definition, we can express Tesla in terms of other units:
\[ 1 \, T = \frac{1 \, N}{1 \, A \cdot 1 \, m} \]
This means 1 Tesla is equivalent to 1 Newton per Ampere per meter.

### Step 3: Check the Options
Now, let's analyze the options given in the question:
1. **1 Newton per Ampere meter** - This matches our derived formula.
2. **1 Newton per Ampere Tesla** - This is incorrect as it does not match the definition.
3. **1 Newton per Ampere meter square** - This is also incorrect.

### Step 4: Conclusion
The correct equivalent of 1 Tesla is:
\[ 1 \, T = 1 \, \frac{N}{A \cdot m} \]
Thus, the first option is correct.

### Final Answer
1 Tesla equals 1 Newton per Ampere meter.

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