Very long (theoretically infinitely long) cylinder of antiferromagnetic material with radius

**a** is uniformly charged by its volume with charge of volume density

**ρ**. The cross-section of a cylinder is shown on an image. Cylinder rotates around its axis with constant angular velocity

**ω**. Electromagnetic permeability is equal to

**µ0** (permeability of vacuum). Determine the vector of electromagnetic induction at point

**A** that is located on an arbitrary distance

**R < a** from the axis of a cylinder. Assume that the distribution of charge doesn't change with rotation of a cylinder. Indicate all vectors and used reference directions.

**Question**: How to set up equations and vectors/reference directions?