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1a) Two 5.0mm X 5.0mm electrodes that are 0.10mm apart are attached to a 9.0 V...

1a) Two 5.0mm X 5.0mm electrodes that are 0.10mm apart are attached to a 9.0 V battery. How much charge is stored on the plates of the capacitor? Consider using SI prefixes; for example, 10-9C=1nC and 10-12C=1pC.

1b) What is the magnitude of the electric field between the plates of the capacitor?

1c) After disconnecting the battery, a sheet of Pyrex glass that is 0.10mm thick (the same as the separation between the plates) is slipped between the plates of the capacitor.

1d) How much charge is stored on the plates of the capacitor after the Pyrex has been inserted?  Consider using SI prefixes; for example, 10-9C=1nC and 10-12C=1pC.

1e) What is the magnitude of the electric field between the plates of the capacitor after the Pyrex has been inserted?

1f) What is the potential difference between the plates of the capacitor after the Pyrex sheet has been inserted?

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Answer #1

Capacitance of the capacitor: Here, c, is the permittivity of the free space, C is the capacitance, A is the area, and d is the distance between the plates. 8.85x10-12 F-m-1)(5x10-3 m 2 0.1x10 m) -2.213 x10-1 F Charge stored on the capacitor O-CV (2.213x 10-1F)(9v) -1.99x10-11 C -19.9 pC Magnitude of electric field. Here, σ is the surface charge density 1.99x10-12 c 5x10-3 m )-(8.85×10-12 F-m-1 -8.99x10 V.m1 Dielectric constant of Pyrex is 5.6 hence, new capacitance is, Here, Co is the capacitance of the capacitor without dielectric, K is the dielectric constant, and C is the capacitance with dielectric. (5.6) (2.213x10 F) -1.2 x10- F Charge stored on the capacitor is, (1.2x10 F)9 v) -1.08x1010 c -108 pC

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