What are the values of electric flux density, charge density, polarization density, and volume charge density in a slab of dielectric material with given parameters?
Electric flux density: -2400z az - 2400εz - 9600εz az h_O
Charge density: 0
Polarization density: -1200χε_0 az
Volume charge density: 2400 h_O/m^3
Electric Flux Density Calculation
The formula used to calculate electric flux density is D = εE. Substituting the given values, we get D = -2400z az - 2400εz - 9600εz az h_O.
Charge Density Calculation
The charge density is determined by the formula p = -∇.P. In this case, the charge density is 0, as the divergence of polarization density is zero.
Polarization Density Calculation
Polarization density is calculated using the formula P = ε_0χE. Substituting the values, we find P = -1200χε_0 az.
Volume Charge Density Calculation
The volume charge density is given by ρ_v = -∇.D. After calculations, we find that the volume charge density is 2400 h_O/m^3.
From the above calculations, we can conclude that the slab of dielectric material has an electric flux density of -2400z az - 2400εz - 9600εz az h_O, a charge density of 0, a polarization density of -1200χε_0 az, and a volume charge density of 2400 h_O/m^3. The formulas used to derive these values are based on the concepts of electric flux density, charge density, polarization density, and volume charge density in dielectric materials.