Capacitance problem (verify answer)

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Homework Help Overview

The discussion revolves around calculating the capacitance of a parallel plate capacitor, given specific parameters such as area, distance between plates, relative permittivity of the dielectric, and permittivity of free space. Participants are verifying the calculated capacitance value in picofarads (pF).

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the calculation of capacitance and questioning the conversion between units, particularly between nano and pico. There is an exploration of the correct interpretation of the final answer and its representation in different units.

Discussion Status

The discussion is ongoing with participants providing corrections and clarifications regarding unit conversions. Some participants express confusion about the relationship between the calculated value in nanofarads and its equivalent in picofarads, indicating a productive exchange of ideas.

Contextual Notes

There appears to be some confusion regarding the definitions of units, particularly between pico and nano, which is being actively addressed in the discussion.

jayjay112
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Find the capacitance of a parrell plate capacitor in pF with A=0.04 m^2
distance of separation between plates = 2mm relative permittivity of dielectric = 6
and permittivity of free space = 8.854x10^-12


C = (6)(8.854x10^-12)(0.04) / 0.002

= 1.06248x10^-9 F

in pF = 1062.48 pF

Thanks
 
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jayjay112 said:
Find the capacitance of a parrell plate capacitor in pF with A=0.04 m^2
distance of separation between plates = 2mm relative permittivity of dielectric = 6
and permittivity of free space = 8.854x10^-12


C = (6)(8.854x10^-12)(0.04) / 0.002

= 1.06248x10^-9 F

in pF = 1062.48 pF

Thanks

You had it until you wrote the last answer.

1.062 pF
 
LowlyPion said:
You had it until you wrote the last answer.

1.062 pF

But the answer 1.062x10^-9 isn't the same as 1.062x10^ -12 or 1.062 pF
 
jayjay112 said:
But the answer 1.062x10^-9 isn't the same as 1.062x10^ -12 or 1.062 pF

But 1062 * 10-12 = 1.062 * 10-9

10-12 is pico, so sorry you are right. I confused nano-
 
LowlyPion said:
But 1062 * 10-12 = 1.062 * 10-9

10-9 is pico.


pico is 10^ -12

see link http://en.wikipedia.org/wiki/Pico-

Thanks for your help with verifing my results.
 
LowlyPion said:
But 1062 * 10-12 = 1.062 * 10-9

10-12 is pico, so sorry you are right. I confused nano-

no problem thanks again
 

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