Question

Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 12 cm. The volume charge density ρ is 3.6 nC/m3. Find the magnitude of the electric field E (a) inside the cylinder, a distance r = 6.6 cm from the cylinder axis, and (b) outside the cylinder, a distance r = 24 cm from the cylinder axis.

Answer #1

Charge is distributed uniformly throughout the volume of an
infinitely long cylinder of radius R =
1.00×10-2m. The charge density is
4.00×10-2C/ m3. What is the
electric field at r = 5.00×10-3m?
What is the electric field at r =
2.00×10-2m?

An infinitely long solid insulating cylinder of radius a = 2 cm
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conducting shell of inner radius b = 14.8 cm, and outer radius c =
17.8 cm. The conducting shell has a linear charge density λ =
-0.37μC/m.
1)
What is Ey(R), the y-component of the electric field...

Charge is distributed throughout a spherical shell of inner
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shell.
In this problem the volume charge density ρ is not uniform; it
is a function of r (distance from the center.)

A cylindrical charge that is infinitely long has a charge
distribution of radius R = 12.0cm and has a uniform volume charge
density of p = 325 uC/m3.
A) Use Gauss's Law to determine the expression for the electric
field for 0 ≤ r ≤ R. INCLUDE A SKETCH
B) Using the expression from part A, calculate the magnitude of
the electric field at r = 6.0cm
C) Use Gauss's Law to determine the expression for the electric
field for...

An infinitely long solid insulating cylinder of radius a = 4.3
cm is positioned with its symmetry axis along the z-axis as shown.
The cylinder is uniformly charged with a charge density ρ = 29
μC/m3. Concentric with the cylinder is a cylindrical
conducting shell of inner radius b = 10.1 cm, and outer radius c =
12.1 cm. The conducting shell has a linear charge density λ =
-0.34μC/m.
What is V(P) – V(R), the potential difference between points...

A positive charge +Q is distributed uniformly throughout the
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potential V at a point P a distance r from the center of the
sphere. Plot the electric potential V vs. the distance r from the
center of the sphere for 0 < r < 2R

A solid, nonconducting sphere of radius R = 6.0cm is charged
uniformly with an electrical charge of q = 12µC. it is enclosed by
a thin conducting concentric spherical shell of inner radius R, the
net charge on the shell is zero.
a) find the magnitude of the electrical field
E1 inside the sphere (r < R) at the
distance r1 = 3.0 cm from the center.
b) find the magnitude of the electric field E2
outside the shell at the...

Consider a long cylinder uniformly charged throughout its volume
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of the cylinder. The charge density is ρ, the Radius of the
cylinder is a, the Radius of the cavity is b, and the distance
between the axes is d ( d+b < a and b < d). Find the
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An infinitely long cylinder (radius R, centered along the
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in infinite conducting cylinder has a radius of 12.0 cm. If the
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cylinder is 55 N/C, what is the charge density distributed over the
surface of the cylinder (in nC/m2)

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