Which of the following relations between weber, second, ampere and volt be correct ?

Options

A. weber/second =volt
B. weber x second = volt
C. weber/second = ampere
D. weber x second = ampere

Explanation

To solve the problem regarding the relationship between Weber, second, Ampere, and Volt, we can start by understanding the definitions and relationships of these units in the context of electromagnetism.

### Step-by-Step Solution:

1. **Understanding the Units**:
- **Weber (Wb)**: This is the unit of magnetic flux. According to Faraday's law of electromagnetic induction, the induced electromotive force (EMF) in a closed circuit is directly proportional to the rate of change of magnetic flux through the circuit.
- **Second (s)**: This is the SI unit of time.
- **Volt (V)**: This is the unit of electromotive force (EMF) or electric potential. It is defined as the potential difference that will move one coulomb of charge against one joule of energy.
- **Ampere (A)**: This is the unit of electric current, defined as the flow of one coulomb of charge per second.

2. **Using Faraday's Law**:
- According to Faraday's law, the induced EMF (E) is given by the equation:
\[ E = -\frac{d\Phi}{dt} \]
where \(\Phi\) is the magnetic flux in Webers and \(t\) is time in seconds.

3. **Rearranging the Equation**:
- From the above equation, we can express the magnetic flux \(\Phi\) as:
\[ \Phi = -E \cdot dt \]
- This implies that the change in magnetic flux over time gives us the induced EMF.

4. **Finding the Relationship**:
- If we rearrange the equation to find the relationship between Weber and Volt, we can write:
\[ \frac{\Phi}{t} = \frac{E}{1} \]
- This leads us to the conclusion that:
\[ \text{Weber per second (Wb/s)} = \text{Volt (V)} \]

5. **Conclusion**:
- Therefore, the correct relationship is:
\[ 1 \text{ Wb/s} = 1 \text{ V} \]
- This means that Weber per second is equal to Volt.

### Final Answer:
The correct relation is:
\[ \text{Weber per second} = \text{Volt} \]