Maximum Charge on Parallel-Plate Capacitor with Mica Dielectric

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SUMMARY

The maximum charge that can be stored in a parallel-plate capacitor with a mica dielectric can be calculated using the formula C = k(Eo*A)/d, where k is the dielectric constant of mica (5.4), Eo is the permittivity of free space, A is the area of the plates, and d is the thickness of the mica (0.0225mm). The area A is determined by the dimensions of the aluminum-foil sheets, which are 3.80cm wide and 15.0m long. The dielectric strength of mica (1.00*10^8 V/m) also plays a crucial role in determining the maximum voltage the capacitor can withstand before breakdown occurs.

PREREQUISITES
  • Understanding of capacitor fundamentals
  • Knowledge of dielectric materials and their properties
  • Familiarity with the formulas for capacitance and voltage
  • Basic skills in unit conversion (e.g., cm to m, mm to m)
NEXT STEPS
  • Calculate the area A of the capacitor plates in square meters
  • Learn about the permittivity of free space (Eo) and its value (approximately 8.85 x 10^-12 F/m)
  • Explore the implications of dielectric strength on capacitor design
  • Study the effects of different dielectric materials on capacitance
USEFUL FOR

Students in physics or electrical engineering, educators teaching capacitor theory, and anyone interested in understanding the principles of capacitors and dielectrics.

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Homework Statement



A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.80cm wide and 15.0m long. Between the sheets is a mica strip of the same width and length that is 0.0225mm thick.

What is the maximum charge that can be stored in this capacitor? (The dielectric constant of mica is 5.4, and its dielectric strength is 1.00*10^8 V/m).

Homework Equations



C = k(Eo*A)/d
V = Ed = (Eo/K)*d

The Attempt at a Solution



I'm not sure how to start this question. I know that I would need to find A through all the dimernsions givens, but the mica strip between the sheets is confusing me, I'm not sure how to find A. I'm really confused and would appreciate it if someone can give me some guidance. Thanks.
 
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A does not depend upon anything but the dimensions given. So what is A in square meters? Given A and the separation of the plates (thickness of the mica dielectric), what would be the capacity of the capacitor?
 

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