Two large flat plates are separated by a distance d. The plates are connected to a battery. a. The surface area of the face of each plate is A,. Write an expression for the capacitance in terms of A, and d. b. A new capacitor is formed by attaching two uncharged metal plates, each with area A,, to the capacitor as shown. The battery remains connected. i. When the new plates are attached, does the electric potential difference between the plates increase, decrease, or remain the same? Explain. Hak Area A, Area A, Area A ii. Write an expression for the work done by the electric field on a charge +q, as it travels from the left plate of the capacitor to the right. Express your answer in terms of the given variables. Explain. iii. Write an expression for the magnitude and direction of the electric field between the plates. Is the magnitude of the electric field greater than, less than, or equal to the magnitude of the electric field between the plates before the new plates were attached? iv. Write an expression for the charge density on the plates of the capacitor. Is the charge density greater than, less than, or equal to the charge density on the plates before the new plates were attached? Explain. v. Write an expression for the total charge on one of the plates of the capacitor. Is this total charge greater than, less than, or equal to the total charge on one of the original plates? Explain. vi. Use the definition of capacitance to find the capacitance of the enlarged pair of plates. Has the capacitance increased, decreased, or remained the same?