The magnetic field near the centre of an infinite long straight current carrying conductor is ........ Than the magnetic field near one of the end points.

Answer

To solve the question regarding the magnetic field near the center of an infinite long straight current-carrying conductor compared to the magnetic field near one of the end points, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have an infinite long straight current-carrying conductor. The magnetic field generated by this conductor can be analyzed at different points: the center and the end point.

2. **Magnetic Field Formula**:
- The magnetic field \( B \) at a distance \( r \) from a long straight conductor carrying current \( I \) is given by the formula:
\[ B = \frac{\mu_0 I}{2\pi r} \]
- Here, \( \mu_0 \) is the permeability of free space.

3. **Magnetic Field at the Center**:
- At the center of the infinite long conductor, we can consider the distance \( r \) to be relatively small (approaching zero for an infinite conductor). However, for practical purposes, we can think of it as being at a distance where the field is uniform.
- The magnetic field at the center can be approximated as:
\[ B_{\text{center}} = \frac{\mu_0 I}{2\pi r} \]

4. **Magnetic Field at the End Point**:
- At the end point of the conductor, the distance \( r \) is larger compared to the center. The magnetic field at the end point can be calculated using the same formula, but the effective distance will be larger.
- The magnetic field at the end point can be approximated as:
\[ B_{\text{end}} = \frac{\mu_0 I}{2\pi R} \]
- Here, \( R \) is the distance from the end point to the conductor.

5. **Comparing the Two Fields**:
- Since \( R > r \), we can conclude that:
\[ B_{\text{center}} > B_{\text{end}} \]
- Therefore, the magnetic field near the center of the infinite long straight current-carrying conductor is greater than the magnetic field near one of the end points.

6. **Final Conclusion**:
- The magnetic field near the center of an infinite long straight current-carrying conductor is greater than the magnetic field near one of the end points.