Question

magnetic field is Curl of vector potential

• A. True
• B. False

Answer 1

Answer: (A)

True

Answer 2

The statement "magnetic field is Curl of vector potential" is a fundamental definition in electromagnetism.

Mathematically, the magnetic field $\vec{B}$ is defined in terms of the magnetic vector potential $\vec{A}$ as:

$$\vec{B} = \nabla \times \vec{A}$$

Here, $\nabla \times$ represents the curl operator. Therefore, the magnetic field is indeed the curl of the magnetic vector potential. This definition is particularly useful because it automatically satisfies one of Maxwell's equations, $\nabla \cdot \vec{B} = 0$, since the divergence of a curl of any vector field is always zero ($\nabla \cdot (\nabla \times \vec{A}) = 0$).