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Enhanced EOC: Problem 26.17 Part A Two circular disks spaced 0.50 mm apart form

ID: 1657335 • Letter: E

Question

Enhanced EOC: Problem 26.17 Part A Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.60 × 109 electrons from one disk to the other causes the electric field strength to be 1.40 × 105 N/C What are the diameters of the disks? Express your answer with the appropriate units Hints You may want to review (Lm-pages 764-766) For help with math skills, you may want to review: Rearrangement of Equations Involvi D-Value Units Mathematical Expressions Involving Squares Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

The electric field strength inside the capacitor is

E= Q/ eo A

A= Q/ eo E

A = ne/eo E

= 1.6* 10^9 ( 1.6* 10^-19)/8.85 * 10^-12 ( 1.4* 10^5 )

=2.066 * 10^-4 m^2

A= pi D^2/4

2.066 * 10^-4 m^2= pi D^2/4

D=sqrt 4 A/ pi

= sqrt 4 (2.066 * 10^-4 m^2)/ pi

=1.62 cm