In C.G.S. system unit of magnetic flux is

Options

A. maxwell
B. weber
C. newton
D. tesla

Answer

To determine the unit of magnetic flux in the C.G.S. (Centimeter-Gram-Second) system, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Magnetic Flux**:
Magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which the magnetic field lines pass. Mathematically, it is expressed as:
\[ \Phi = \mathbf{B} \cdot \mathbf{A} \]

2. **Identify Units in SI System**:
In the SI system, the unit of magnetic flux is the Weber (Wb). This is derived from the magnetic field unit (Tesla, T) and area (square meters, m²):
\[ \text{1 Weber} = 1 \text{ Tesla} \times 1 \text{ m}^2 \]

3. **Convert to C.G.S. System**:
In the C.G.S. system, the unit of magnetic field (B) is the Gauss (G), and the unit of area (A) is square centimeters (cm²):
\[ \text{1 Gauss} = 10^{-4} \text{ Tesla} \]
\[ \text{Area} = \text{cm}^2 \]

4. **Calculate Magnetic Flux in C.G.S.**:
Therefore, the unit of magnetic flux in the C.G.S. system can be expressed as:
\[ \Phi = \text{B} \times \text{A} = \text{Gauss} \times \text{cm}^2 \]

5. **Relate to Maxwell**:
It is known that 1 Weber is equivalent to 10^8 Maxwells. Therefore, in C.G.S. units, the unit of magnetic flux is defined as:
\[ \text{1 Maxwell} = \text{1 Gauss} \times \text{cm}^2 \]

6. **Conclusion**:
Thus, the unit of magnetic flux in the C.G.S. system is the Maxwell.

### Final Answer:
The unit of magnetic flux in the C.G.S. system is **Maxwell**.

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