Leakage resistance in a capacitor

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SUMMARY

The discussion centers on calculating the leakage resistance (RL) of a 100pF parallel-plate capacitor with a mica dielectric, characterized by a relative permittivity of 12 and a resistivity of 1014 Ω·m. The relevant equations include the capacitance formula C = εrε0A/d and the resistance formula R = ρL/A. Participants emphasize the need to derive the leakage resistance from these equations, specifically by manipulating the capacitance formula to express resistance in terms of the given parameters.

PREREQUISITES
  • Understanding of capacitor fundamentals, including capacitance and dielectric properties.
  • Familiarity with the resistance formula R = ρL/A.
  • Knowledge of the relationship between capacitance, area, and distance in parallel-plate capacitors.
  • Basic algebraic manipulation skills to transpose equations.
NEXT STEPS
  • Study the derivation of the capacitance formula for parallel-plate capacitors.
  • Learn how to calculate leakage resistance in capacitors using resistivity and geometry.
  • Explore the implications of dielectric materials on capacitor performance.
  • Investigate practical applications of leakage resistance in electrical circuits.
USEFUL FOR

Electrical engineering students, mechanical engineers transitioning to electrical applications, and anyone interested in capacitor design and analysis.

Dan_tanner
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Homework Statement



I am trying to find the relevant equation to to solve the following problem,

RL= leakage resistance measured across the dielectric

A 100pF parallel-plate capacitor has a mica dielectric of relative permittivity \epsilon[/r]=12 and a resistivity of \rho=10^14\Omega m. <br /> <br /> I want to calaculate the leakage resistance of this capacitor.<br /> <br /> <br /> <h2>Homework Equations</h2><br /> <br /> <br /> <br /> <h2>The Attempt at a Solution</h2><br /> <br /> The previous question wanted to know the area and distance between the plates of the capacitor, i think that this has something to do with the answer to the question,<br /> <br /> I have solved this!<br /> <br /> I think i have all the relevant information to have an atempt at the answer but don&#039;t know and can&#039;t find the equation, <br /> <br /> I am not sure if Resistance R = rhol/A has anything to do with it because it states resistivity is \rho = 10^14 \Omega m<br /> <br /> this has thrown me??<br /> <br /> I can&#039;t find anything that points me in the right dierction in my books or course work.
 
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You're missing a needed formula here which gives you the capacitance of an ideal parallel plate capacitance. Use that and your resistance formula to find R.
 
Hello Defender,

Thanks for the reply, I am still not sure, i don't really understand what you are on about? I am all mechanical ad never had to do electrical before.

Are you on about C= epsilon r epsilon o * A / d

If so, this is the formula for finding C which is in farads which i have already been given as100pF
 
You can transpose the formula to to obtain an expression to help you calculate resistance from the other formula.
 
Dan_tanner said:
Hello Defender,

Thanks for the reply, I am still not sure, i don't really understand what you are on about? I am all mechanical ad never had to do electrical before.

Are you on about C= epsilon r epsilon o * A / d

If so, this is the formula for finding C which is in farads which i have already been given as100pF

Dan,

Did you ever get the formula as I am stuck on asimilar question
 

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