Two parallel conducting plates, each of cross-sectional area 400.0 cm² are 2.0 cm apart and uncharged. If 1.0×1012 electrons are transferred from one plate to the other, what are a) the charge density on each plate? b) the electric flux through a circle of radius 3 cm between the plates when the normal to the circle makes an angle of 5.0° with a line perpendicular to the plates.

University Physics Volume 2
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 68P: Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and...
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Two parallel conducting plates, each of cross-sectional area 400.0 cm? are 2.0 cm apart and uncharged. If
1.0x102 electrons are transferred from one plate to the other, what are
a) the charge density on each plate?
b) the electric flux through a circle of radius 3 cm between the plates when the normal to the circle makes an
angle of 5.0° with a line perpendicular to the plates.
Transcribed Image Text:Two parallel conducting plates, each of cross-sectional area 400.0 cm? are 2.0 cm apart and uncharged. If 1.0x102 electrons are transferred from one plate to the other, what are a) the charge density on each plate? b) the electric flux through a circle of radius 3 cm between the plates when the normal to the circle makes an angle of 5.0° with a line perpendicular to the plates.
Expert Solution
Step 1

Given,

no. of electrons n=1.0 X 1012

Area of cross section between two plates A = 400 cm2 = 0.04 m2

(a)

We know that 

q=neq=1012×1.6×10-19 q=1.6×107 C

 

We know the expression for charge density is 

σ=qAσ=1.6×10-70.04σ=4×10-6 C/m2

Therefore the charge density on each plate is 4 x 10-6 C/m2.

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