What is the charge that can be stored on this capacitor

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Homework Help Overview

The discussion revolves around a parallel-plate capacitor with specific dimensions and a dielectric material. Participants are attempting to calculate the charge that can be stored when connected to a voltage source, using relevant equations for capacitance and charge.

Discussion Character

  • Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants are calculating capacitance using the formula C=Keo(A/d) and then determining the maximum charge using Qmax=(Cdelta)Vmax. There are questions regarding the accuracy of the calculated capacitance and charge values.

Discussion Status

Some participants are questioning the results of their calculations, particularly the capacitance value derived from the given parameters. There is an ongoing exploration of the calculations, with one participant suggesting that their new calculations may be correct, while another expresses uncertainty about the initial results.

Contextual Notes

Participants are working under the constraints of the problem statement and the equations provided, with some expressing doubts about the accuracy of their numerical results.

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Homework Statement



A parallel-plate capacitor has dimensions 3.5cm x 5.2 cm. The plates are separated by a 1.1-mm thickness of paper (dielectric constant k = 3.7). What is the charge that can be stored on this capacitor, when connected to a 1.5-V battery? (E0 = 8.85 x 10^-12 C^2/Nm^2)

Homework Equations



C=Keo(A/d)
Qmax=(Cdelta)Vmax

The Attempt at a Solution

C=Keo(A/d)
=3.7(8.85E-12)(18.2E-4/1.1E-3)
=200E-12 F

Qmax=C(deltaVmax)
=(200E-12)(1.5V)
=300E-12 C

300E-12 C does not seem like the right answer
 
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Hi ziplock2k,

ziplock2k said:

Homework Statement



A parallel-plate capacitor has dimensions 3.5cm x 5.2 cm. The plates are separated by a 1.1-mm thickness of paper (dielectric constant k = 3.7). What is the charge that can be stored on this capacitor, when connected to a 1.5-V battery? (E0 = 8.85 x 10^-12 C^2/Nm^2)

Homework Equations



C=Keo(A/d)
Qmax=(Cdelta)Vmax

The Attempt at a Solution




C=Keo(A/d)
=3.7(8.85E-12)(18.2E-4/1.1E-3)
=200E-12 F

I don't think those numbers give 200e-12 F.
 
C=Keo(A/d)
=3.7(8.85E-12)(18.2E-4/1.1E-3)
=54.18E-12

Qmax=C(deltaVmax)
=(54.18E-12)(1.5V)
=300E-12 C

81.27E-12 C

Is my new calculations right?
 
ziplock2k said:
C=Keo(A/d)
=3.7(8.85E-12)(18.2E-4/1.1E-3)
=54.18E-12

Qmax=C(deltaVmax)
=(54.18E-12)(1.5V)
=300E-12 C

81.27E-12 C

Is my new calculations right?

That last number looks right to me.
 

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