In this paper, a new theory for micropolar electrically conducting fluids is presented by unifying the theories of micropolar fluids and electrically conducting fluids. This theory makes it possible to treat both magnetic and dielectric properties simultaneously. It is expected to contribute to the knowledge of the properties of ionized gases, electrically conducting viscous fluids, including fine particles, and magnetic fluids. Futhermore, we give an exaxt representation of Maxwell's stress tensor in materials when volume strain arises from electromagnetic force. As a result, interaction between fluids and electromagnetic fields becomes cleal analytically. Thermodynamical quantities such as entropy, pressure, internal energy and enthalpy are shown as sums of the state function in the non-electromagnetic field and the additional state function due to the existence of the electromagnetic field.