ax Two infinite-dane nonconducting, thin sheets of uniorm surtace charge x<0 bx 0 d positive direction d unit vector (perpendicular to plates) First choose appropriate values for integers a, b ,c (not any of them is zero) with their sign (+ or -) of V at cach region. Write these values of a.b.c clearly to vour answer sheet. a) Calculate the surface charge densities and electric field in each region. b) Calculate the force acting on the one of the sheets (Indicate that which one of the sheet you choose) c) How much energy you need to put a charge (5C) any one of the region you choose?
ax Two infinite-dane nonconducting, thin sheets of uniorm surtace charge x<0 bx 0 d positive direction d unit vector (perpendicular to plates) First choose appropriate values for integers a, b ,c (not any of them is zero) with their sign (+ or -) of V at cach region. Write these values of a.b.c clearly to vour answer sheet. a) Calculate the surface charge densities and electric field in each region. b) Calculate the force acting on the one of the sheets (Indicate that which one of the sheet you choose) c) How much energy you need to put a charge (5C) any one of the region you choose?
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Transcribed Image Text:ax
Two infinite-dane nonconducting, thin
sheets of uniorm surtace charge
x<0
bx
0<x< d
V=
|c(x - d)
x > d
positive direction d unit vector
(perpendicular to plates)
First choose appropriate values for integers a, b ,c (not any of them is zero) with their sign (+ or -) of V at cach
region. Write these values of a.b.c clearly to vour answer sheet.
a) Calculate the surface charge densities and electric field in each region.
b) Calculate the force acting on the one of the sheets (Indicate that which one of the sheet you choose)
c) How much energy you need to put a charge (5C) any one of the region you choose?
Expert Solution
Step 1
Given that, the area of the large plates is A, and the distance between the plates is d.
the potential in a different region is given as,
Now,
Let choose the values of a, b, c as,
a=1, b=2, c=3
for any region for which potential is defined, the electric field is given as,
Now calculating electric fields for different region,
Step 2
The electric field due to the large plate having charge density,
Then calculating the electric field due to the charge densities is given as,
Comparing the electric field results of region x<0, and x<0<d,
We obtain,
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