Final answer:
The total energy stored in the electric field of a parallel-plate capacitor can be calculated using the formula Uc = 1/2C(V^2), and the energy density can be calculated using the formula W = Uc/Ad. The specific values in this case can be substituted into the formulas to find the answers.
Step-by-step explanation:
The total energy stored in the electric field can be calculated using the formula Uc = ½C(V2), where Uc is the energy, C is the capacitance, and V is the voltage applied. Here, the capacitance can be calculated using the formula C = ε0*(ε/d), where ε0 is the permittivity of free space, ε is the dielectric constant, and d is the spacing between the plates. So, the energy stored in the electric field is Uc = ½(ε0*(ε/d))(V2).
In this case, the diameter of the plates is 2.0 cm and the spacing between the plates is 0.50 mm. To calculate the energy, we need to convert these measurements to meters. The diameter of the plates becomes 0.02 m and the spacing becomes 0.0005 m. The dielectric constant for air is approximately 1. So, plugging in the values, the energy stored in the electric field is Uc = ½(ε0*1/(0.0005))(2002) = ...
The energy density can be calculated using the formula W = Uc/A*d, where W is the energy density, Uc is the energy, A is the area of the plates, and d is the spacing between the plates. In this case, the diameter of the plates is 2.0 cm, which gives an area of π*(0.012), and the spacing is 0.50 mm, which gives a spacing of 0.0005 m. Plugging in the values, the energy density is W = ...