A slab of copper of thickness b = 1.64 mm is placed into a parallel-plate capacitor of plate area A = 3.30 cm² and plate separation d = 7.72 mm, the slab is exactly halfway between the plates. Throughout this process the plates of the capacitor are connected to a voltage source that keeps the voltage at a constant V = 575 V. Part 1) What is the capacitance on the slab after the copper is inserted? Cafter = nF Part 2) How much work is done on the slab to move it into place? W = Part 3) What is the strength of the electric field between the positive plate and the slab? N/m

Question 3 Look at the arrangement of the capacitors below. A) Find the equivalent capacitance of the arrangement. B) What is the voltage across each capacitor? V₁ = V₂ = V3 = V4= C) What is the magnitude of the charge stored on each capacitor's plates? Q₁ = Q₂ = A 4 F 6 F 4 F B Now imagine that a dielectric with dielectric constant k = 5.0000 is placed inside the upper left capacitor. D) Find the new equivalent capacitance of this arrangement. AVAB 10 volts still A k=5.0000 6F 6 F B = 4F 4F AV₁ = 10 volts AB

Assume your hands are conductors. Estimate the capacitance between your hands If you hold your them as close together as you can without accidentally touching. (Provide a value) Briefly describe how you arrived at your answer.

Item 2 A dielectric-filled parallel-plate capacitor has plate area A = 30.0 cm² plate separation d = 10.0 mm and dielectric constant k = 2.00. The capacitor is connected to a battery that creates a constant voltage V = 12.5 V. Throughout the problem, use 0 = 8.85×10-12 C²/N·m². Part A Find the energy U₁ of the dielectric-filled capacitor. Express your answer numerically in joules. ► View Available Hint(s) U₁ = Submit Part B U2 = VE ΑΣΦ Submit ? 17 ΑΣΦ J The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U₂ of the capacitor at the moment when the capacitor is half- filled with the dielectric. Express your answer numerically in joules. ► View Available Hint(s) 2 of 15 J Review