Velocity of a Charged particle in a magnetic field according to Biot-Savart Law According to Biot-Savart Law, if there is a charged particle in motion, there will be a magnetic field. My question is whether the counterpart of this law also holds true, i.e. if there is a magnetic field, whether there will be a charged particle be in motion.
 Let me explain my question a bit more clearly.  First of all I don't know whether we can have a single charge in motion and another at rest in reality. If we can have then there may be two cases:
Case 1: At time t=0 a charged particle is placed at rest at point P where B=0 and at time t>0 an external B field is created in a region R covering the point P.
Case 2: At time t=0 a magnetic field B is created in a region R. At time t>0 a charged particle is placed at rest at point P in R.    
Note of Caution: The point P is chosen in such a way that there won't be any external electric field at P.
Now come to the question: Will the charged particle move? If yes, under which case?
If 'NO', whether the charged particle will absorb any energy or not?
 A: Magnetic fields can be generated by particles in motion (in the classical sense).  Generally, this not a requirement.  For example, magnetism can arise from quantum effects, such as orbital angular momentum (you could say that this is a particle in motion in the classical sense, but quantum probabilities come into play here) and may also arise due to the spin state of a particle (not linear motion in the traditional sense).
A: The only exceptions I know arise from quantum effects. For example a charged fundamental particle with non-zero spin also creates a magnetic field. So an isolated static electron has a non-zero magnetic moment. Even though this is a purely quantum effect it can produce macroscopic fields. For example the magnetic field of a ferromagnet is due to the magnetic moments of its unpaired electrons.
If you leave aside magnetic fields originating from quantum effects then yes, the observation of a magnetic field implies a non-zero current i.e. there must be charged particles in motion. To see this look at the derivation of the Biot-Savart law from Maxwell's equations. The magnetic field is the curl of the vector potential, and this is related to the current by:
$$ \nabla^2{\bf A} = -\mu_0 {\bf J} $$
If ${\bf J}$ is zero then there is no magnetic field.
