A thin spherical shell of radius 7.6 cm carries a uniform surface charge density of 6.7 times 10-9 C/m2. The magnitude of the el
1 answer:
Answer:
E= 1.968 10¹¹ N/C
Explanation:
To calculate the electric field of a sphere we can use Gaussian law
Ф = ∫ E. dA = / ε₀
In this case we must use a Gaussian surface of spherical shape, since the radii of the sphere and the electric field line have been parallel, consequently the scalar product is reduced to an algebraic product.
The error of a sphere is
A = 4π π r²
E (4π r³) = / εo (1)
to find the charge inside the sera we use the concept of density
ρ = quint / V
qint = rho V
the volume of a sphere is
V = 4/3 pi r³
we substitute in 1
E 4π r² = ρ 4/3 π r³
E = ρ / 3ε₀
now let's change the charge density to the charge
E = Q 3 / 4π r³ r / 3ε₀
E = (1 / 4πε₀) Q / r²
E = k Q /r²
calculate
E = ρr / 3ε₀
E = 6.7 10⁻⁹ 7.8 10⁻² / 3 8.85 10⁻¹²
E= 1.968 10¹¹ N/C
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Complete Question
Red blood cells can be modeled as spheres of 6.53 μm diameter with −2.55×10−12 C excess charge uniformly distributed over the surface. Find the electric field at the following locations, with radially outward defined as the positive direction and radially inward defined as the negative direction. The permittivity of free space ????0 is 8.85×10−12 C/(V⋅m). What is the electric field
E⃗ 1 inside the cell at a distance of 3.05 μm from the center?
E⃗ 2 Just inside the surface of the cell
E⃗ 3 Just outside the surface of the cell
E⃗ 4 At a point outside the cell 3.05 μm from the surface
Answer:
E⃗ 1
0 V/m
E⃗ 2
0 V/m
E⃗ 3
E⃗ 4
Explanation:
From the question we are told that
The diameter is
The charge is
The permittivity of free space is
The distance considered is
Generally the electric field inside the cell at a distance of 3.05 μm from the center is
0 V/m
This because there is no electric field felt inside the cell according Gauss the cell is taken as a point charge
Generally the electric field just inside the surface of the cell is 0 V/m
This because there is no electric field felt inside the cell according Gauss the cell is taken as a point charge
Generally the electric field just outside the cell is mathematically represented as
Here is the coulomb constant with value
r is the radius of the sphere which is mathematically as
Generally the electric field at a point outside the cell 3.05 μm from the surface is mathematically represented as
Here R is mathematically represented as
=>
So