Maximum Working Voltage of a Capacitor

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The discussion focuses on calculating the capacitance and maximum working voltage of a parallel-plate capacitor with Pyrex glass as the dielectric. The capacitance is determined using the formula C=(Kappa*Epsilon*A)/d, where Kappa is the dielectric constant, A is the area, and d is the separation distance. For the maximum working voltage, it's essential to consider the dielectric strength of Pyrex glass, which indicates the maximum electric field it can withstand before breakdown. The dielectric strength is measured in volts per meter, which can be used to find the maximum voltage by multiplying it with the separation distance. Understanding these principles is crucial for accurately determining the capacitor's specifications.
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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