An infinite sheet lie on the xz plane and z axis points outward. A solid non-conducting sphere of radius R is placed at h+r distance away from the infinite sheet. Use the following values of these quantities charge density of sphere p = 38 pC/m^3, charge density of the infinite sheet o = -44pC/m^2 , radius of the solid sphere R = 2.7m, radius of the Gaussian sphere r= 5.4m value of h = 1.35m . (here 1pC means pico coulomb charge that is, 10^-12 C.) Step 1: Consider the solid non-conducting sphere only for this step. a) Find the magnitude of the electric field at point P2 and P3 due to the solid sphere only. (N/C) Step 2: Consider both the solid non-conducting sphere and infinite sheet for this step. b) Find the net flux through the Gaussian sphere of radius r. (N.m^2/C) c) Find x,y component of Net electric field at point P1 & P2.(N/C)
An infinite sheet lie on the xz plane and z axis points outward. A solid non-conducting sphere of radius R is placed at h+r distance away from the infinite sheet. Use the following values of these quantities charge density of sphere p = 38 pC/m^3, charge density of the infinite sheet o = -44pC/m^2 , radius of the solid sphere R = 2.7m, radius of the Gaussian sphere r= 5.4m value of h = 1.35m . (here 1pC means pico coulomb charge that is, 10^-12 C.) Step 1: Consider the solid non-conducting sphere only for this step. a) Find the magnitude of the electric field at point P2 and P3 due to the solid sphere only. (N/C) Step 2: Consider both the solid non-conducting sphere and infinite sheet for this step. b) Find the net flux through the Gaussian sphere of radius r. (N.m^2/C) c) Find x,y component of Net electric field at point P1 & P2.(N/C)
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Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅ m^2/C^2 . Vacuum permittivity, ϵ0 = 8.854×10^−12 F/m . Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C . Mass of one electron, me = 9.10938356×10^−31 kg . Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
Solve a,b,c.
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62283ee1-2979-4483-96c9-b84d3ced0067%2F9dfb6c87-944d-4b3d-be75-fac884c2b5b8%2F6mc14q_processed.png&w=3840&q=75)
![An infinite sheet lie on the xz plane and z axis points outward.
A solid non-conducting sphere of radius R is placed at h+r
distance
away
from the infinite sheet. Use the following values of
these quantities charge density of sphere p = 38 pC/m^3, charge
density of the infinite sheet o = -44pC/m^2 , radius of the solid
sphere R = 2.7m, radius of the Gaussian sphere r= 5.4m value
of h = 1.35m . (here 1pC means pico coulomb charge that is,
10^-12 C.)
Step 1: Consider the solid non-conducting sphere only for this
step.
a) Find the magnitude of the electric field at point P2 and P3
due to the solid sphere only. (N/C)
Step 2: Consider both the solid non-conducting sphere and
infinite sheet for this step.
b) Find the net flux through the Gaussian sphere of radius r.
(N.m^2/C)
c) Find x,y component of Net electric field at point P1 & P2.(N/C)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62283ee1-2979-4483-96c9-b84d3ced0067%2F9dfb6c87-944d-4b3d-be75-fac884c2b5b8%2Fvjqx2ls_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An infinite sheet lie on the xz plane and z axis points outward.
A solid non-conducting sphere of radius R is placed at h+r
distance
away
from the infinite sheet. Use the following values of
these quantities charge density of sphere p = 38 pC/m^3, charge
density of the infinite sheet o = -44pC/m^2 , radius of the solid
sphere R = 2.7m, radius of the Gaussian sphere r= 5.4m value
of h = 1.35m . (here 1pC means pico coulomb charge that is,
10^-12 C.)
Step 1: Consider the solid non-conducting sphere only for this
step.
a) Find the magnitude of the electric field at point P2 and P3
due to the solid sphere only. (N/C)
Step 2: Consider both the solid non-conducting sphere and
infinite sheet for this step.
b) Find the net flux through the Gaussian sphere of radius r.
(N.m^2/C)
c) Find x,y component of Net electric field at point P1 & P2.(N/C)
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