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True or False: When an electric field intersects with a medium, the tangential components of the field inside the medium are the same as the tangential components outside of the medium
True or False: When an electric field intersects with a medium, the normal components of the electric displacement field inside of the medium and of the electric displacement field outside of the medium are equal
True or False: Capacitance can only appear in a body or collection of bodies when there is a potential voltage difference
True or False: Most electrostatic equations in free space can be used for electric fields in materials if the permittivity of free space is scaled by the relative permittivity and permeability of the material
True or False: The equation for the energy stored in a capacitive system is defined as a relationship between the three quantities of charge, capacitance, and voltage
Given an electric field in region 1 with $\epsilon_r = 4$ and characterized as $ \overline{E}_1 = \left( 12x^{2}\hat{a}_x + 5x\hat{a}_y + y^2z^2\hat{a}_z \right) e^{-jkz}$, find the electric field in the second region given the second region is made of a material with $\epsilon_r = 1.6$ and with $\rho_s = \left( x+2y+3z \right)$
Given an electric field in region 1 with $\epsilon_r = 7$ and characterized as $ \overline{D}_1 = \left( 14\hat{a}_x + 7z\hat{a}_y + x^2\hat{a}_z \right) e^{-jkz}$, find the electric field in the second region given that the second region is made of a material with $\epsilon_r = 3.5$ and with $\rho_s = 2x^2 + 5$
Find the electrostatic energy density in a material characterized with $\epsilon_r = 12$ and which has an electric field of $ \overline{E} = 10x^2y^2\hat{a}_x + 5xyz\hat{a}_y - 2y^3z^3\hat{a}_z$ at point $\left(5,1,-6\right)$
Given a rectangular parallel plate capacitor characterized with $w = 47mm$, $l = 24mm$, and $d = 12mm$, find the effective permittivity of the material between the plates given a capacitance of $47pF$
Find the capacitance of a parallel plate capacitor that has rectangular plates with a width of $w = 20mm$, a length of $l = 37mm$, a distance between plates of $d = 4mm$, and with a material between the plates characterized as $\epsilon_r = 9.91$