Maximum Working Voltage of a Capacitor

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SUMMARY

The maximum working voltage of a parallel-plate capacitor with plates of 38.1 cm² area and separated by a 29.0 μm layer of Pyrex glass is determined by the dielectric strength of the material. The capacitance is calculated using the formula C=(Kappa*Epsilon*A)/d, where Kappa for Pyrex glass is 5.6, A is 3.81*10^-3 m², and d is 29*10^-6 m. The maximum voltage is linked to the dielectric strength of Pyrex glass, which defines the electric field the dielectric can withstand before breakdown occurs.

PREREQUISITES
  • Understanding of capacitance calculation using C=(Kappa*Epsilon*A)/d
  • Knowledge of dielectric materials and their properties
  • Familiarity with electric field concepts and breakdown voltage
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the dielectric strength of Pyrex glass to determine maximum voltage
  • Learn about the relationship between electric field strength and breakdown voltage
  • Explore different types of capacitors and their applications
  • Study the effects of varying dielectric materials on capacitance and voltage ratings
USEFUL FOR

Students in physics or electrical engineering, capacitor designers, and anyone interested in understanding capacitor behavior and dielectric materials.

tomrja
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Homework Statement



A parallel-plate capacitor has plates with 38.1 cm2 area separated by a 29.0 μm layer of Pyrex glass.

(a) Find its capacitance.
(b) Find its maximum working voltage.

Kappa for pyrex glass is = 5.6
A= 38.1 cm^2 = 3.81*10^-3 m^2
d= 29*10^-6 m

Homework Equations



C=(Kappa*Epsilon*A)/d

Q=CV

The Attempt at a Solution



I have gotten the answer to part a by just plugging and chugging with the equation C=(Kappa*Epsilon*A)/d. For the second part I don't understand how to calculate the maximum voltage if I don't have a charge (Q). I'm sure there is some way to manipulate these equations. Any help?
 
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tomrja said:
I have gotten the answer to part a by just plugging and chugging with the equation C=(Kappa*Epsilon*A)/d. For the second part I don't understand how to calculate the maximum voltage if I don't have a charge (Q). I'm sure there is some way to manipulate these equations. Any help?

The maximum working voltage will be determined by the breakdown voltage of the dielectric. More specifically, the maximum field strength it can sustain before it breaks down and shorts the capacitor.

Dielectric strength is given in V/m, just like the electric field between the plates (hint, hint).

Look up the dielectric strength of Pyrex glass.
 
Awesome! Thank you so much!
 

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