Two large flat plates are separated by a distance d. The plates are connected to a battery. The surface area of each plate is A1. (see Figure 2a) A new capacitor is formed by adding two uncharged metal plates, each with area A2, to the capacitor as shown. The battery remains connected. a) Write an expression for the surface 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. B) 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. C) Use the definition of capacitance to find the new capacitance of the pair of plates. Has the capacitance increased, decreased, or remained the same?
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Two large flat plates are separated by a distance d. The plates are connected to a battery. The surface area of each plate is A1. (see Figure 2a)
A new capacitor is formed by adding two uncharged metal plates, each with area A2, to the capacitor as shown. The battery remains connected.
a) Write an expression for the surface 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.
B) 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.
C) Use the definition of capacitance to find the new capacitance of the pair of plates. Has the capacitance increased, decreased, or remained the same?
D) Now consider two capacitors connected in parallel to the same battery, one of area A1 and the other of area A2. Which capacitor has more charge on its plates (assume A1> A2)?
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