An engineer must design a parallel-plate capacitor that will store of charge on each…

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

An engineer must design a parallel-plate capacitor that will store 2.5×10−8 C2.5 \times 10^{-8}\,\text{C} of charge on each plate when it is connected to a 9.0 V9.0\,\text{V} battery. • The gap between the plates will be filled completely by a sheet of polyethylene (dielectric constant 2.3). • The plate separation is fixed at 0.60 mm0.60\,\text{mm}. Assume fringing effects are negligible. (a) Calculate the capacitance that the engineer must achieve for the capacitor to store the specified charge at 9.0 V9.0\,\text{V}. (b) Determine the plate area required to obtain that capacitance. Express your answer first in m2\text{m}^2 and then convert it to cm2\text{cm}^2. (c) Briefly state one practical consideration the engineer should evaluate when deciding whether the calculated plate area is feasible for a compact electronic device.

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