In both physics and electronics we often have to work with alternating currents of very high frequencies, in the microwave range and more. As the impedance of conductors and circuits increases with frequency so often we have negligible ohmic losses that we want to remove. In linear conductors, the microscopic Ohm's law applies, that is, the current is proportional to the electric field. The electric and magnetic fields in the conductor are calculated using Maxwell's equations and are of an oscillatory nature. Due to the oscillatory nature of the field, the current can flow locally in the opposite direction from the total current and this is responsible for increasing of the effective electrical resistance. For the purposes of this paper, we are interested in whether we can reduce the effective electrical resistance by drilling the material and placing an alloy of poorer conductivity in areas where the current flows locally in the opposite direction. In this paper, we prove a relation that tells us that this is not possible, that is, that the resistance of this inhomogeneous material is always greater than or equal to homogeneous. The following are examples for homogeneous and inhomogeneous cases in one and two dimensions.