Biot Savart law of magnetism is analogous to:

Explanation

To solve the question regarding the analogy between the Biot-Savart law of magnetism and another law, we will analyze the components of both laws step by step.

### Step-by-Step Solution:

1. **Understanding Biot-Savart Law**:
The Biot-Savart Law describes the magnetic field \( \mathbf{B} \) generated by a small segment of current-carrying wire. Mathematically, it is expressed as:
\[ d\mathbf{B} = \frac{\mu_0}{4\pi} \frac{I \, d\mathbf{l} \times \hat{r}}{r^2} \]
where:
- \( d\mathbf{B} \) is the infinitesimal magnetic field,
- \( \mu_0 \) is the permeability of free space,
- \( I \) is the current,
- \( d\mathbf{l} \) is the length of the wire segment,
- \( \hat{r} \) is the unit vector from the wire segment to the point where the field is being calculated,
- \( r \) is the distance from the wire segment to the point.

2. **Understanding Coulomb's Law**:
Coulomb's Law describes the electric field \( \mathbf{E} \) generated by a point charge. It is given by:
\[ \mathbf{E} = \frac{1}{4\pi \epsilon_0} \frac{Q}{r^2} \hat{r} \]
where:
- \( \mathbf{E} \) is the electric field,
- \( \epsilon_0 \) is the permittivity of free space,
- \( Q \) is the charge,
- \( r \) is the distance from the charge.

3. **Identifying Analogies**:
- **Current and Charge**: In Biot-Savart Law, the current \( I \) is analogous to charge \( Q \) in Coulomb's Law. This is because both are sources of their respective fields (magnetic and electric).
- **Distance Dependency**: Both laws show that the field (magnetic or electric) is inversely proportional to the square of the distance from the source. In Biot-Savart Law, \( d\mathbf{B} \propto \frac{1}{r^2} \) and in Coulomb's Law, \( \mathbf{E} \propto \frac{1}{r^2} \).

4. **Conclusion**:
Based on the above analysis, we conclude that the Biot-Savart Law of magnetism is analogous to Coulomb's Law of electrostatics.

### Final Answer:
The Biot-Savart law of magnetism is analogous to Coulomb's law.