For a disk of radius R = 17 cm and Q = 4 ✕ 10-6 C, calculate the electric field 4 cm from the center of the disk using all three formulas below. Note: ε0 = 8.85e-12 C2/(N·M2).
Homework Answers
For a disk of radius R = 23 cm and Q = 3 x 10^-6 C,...
For a disk of radius R = 23 cm and Q = 3 x 10^-6 C, calculate the electric field 1 cm from the center of the disk using all three formulas below. Note: e0 = 8.85e-12 C^2/(N.M^2). (a) Most accurate approximation: E = (b) Less accurate approximation: E = (c) Least accurate approximation: E =
A disk of radius R = 7.52 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge den...
A disk of radius R = 7.52 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 3.11 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.55 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
A disk of radius R = 9.54 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge den...
A disk of radius R = 9.54 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 4.07 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.01 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
For a disk of radius R = 35 cm and Q = 3 ✕ 10−6 C, calculate...
For a disk of radius R = 35 cm
and Q = 3 ✕ 10−6 C, calculate the
electric field 3 mm from the center of the disk using all three
equations. (Enter the magnitude.)
Efirst
=
N/C
Esecond
=
N/C
Ethird
=
N/C
How good are the approximate equations at this distance?
Both the second and third values are within 5% of the first,
most accurate value.The second value is within 5% of the first,
most accurate value. The third...
A spherical, non-conducting shell of inner radius = 10 cm and outer radius = 15 cm...
A spherical, non-conducting shell of inner radius = 10 cm and outer radius = 15 cm carries a total charge Q = 16.2 μC distributed uniformly throughout the volume of the shell. What is the magnitude of the electric field at a distance r = 11.2 cm from the center of the shell? (ε0 = 8.85 × 10-12 C2/N ∙ m2) (Give your answer to the nearest 0.01 MN/C)
The total electric field at a point on the axis of a uniformly charged disk, which...
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.27 cm having a uniformly distributed charge of +5.18 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.30 mm...
A circular plastic disk with radius R = 3.33 cm has a uniformly distributed charge Q...
A circular plastic disk with radius R = 3.33 cm has a uniformly distributed charge Q = +(5.81 x106)e on one face. A circular ring of width 30.6 µm is centered on that face, with the center of that width at radius r = 0.687 cm. In coulombs, what charge is contained within the width of the ring?
A circular plastic disk with radius R = 3.35 cm has a uniformly distributed charge Q...
A circular plastic disk with radius R = 3.35 cm has a uniformly distributed charge Q = +(1.81 x106)e on one face. A circular ring of width 38.0 µm is centered on that face, with the center of that width at radius r = 0.447 cm. In coulombs, what charge is contained within the width of the ring?
A uniformly charged disk of radius 25.0 cm carries a charge density of 6.50 x 10-3...
A uniformly charged disk of radius 25.0 cm carries a charge density of 6.50 x 10-3 C/m2. a) from the definition of the electric field, derive the expression of the net electric field along the perpendicular line going through the center of the disk. b) calculate the electric field on the axis of the disc at 50 cm from the center of the disk. c) calculate the electric field on the axis of the disc at 2 m from the...
A uniformly charged disk with radius R = 25.0 cm and uniform charge density σ 7.60...
A uniformly charged disk with radius R = 25.0 cm and uniform charge density σ 7.60 x 10-3 C/m2 lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z 5.00 cm MN/C (b) z 10.0 cm MN/C (c) z-50.0 cm MN/C (d) z 200 cm MN/C
For a disk of radius R = 23 cm and Q = 3 x 10^-6 C, calculate the electric field 1 cm from the center of the disk using all three formulas below. Note: e0 = 8.85e-12 C^2/(N.M^2). (a) Most accurate approximation: E = (b) Less accurate approximation: E = (c) Least accurate approximation: E =
For a disk of radius R = 35 cm
and Q = 3 ✕ 10−6 C, calculate the
electric field 3 mm from the center of the disk using all three
equations. (Enter the magnitude.)
Efirst
=
N/C
Esecond
=
N/C
Ethird
=
N/C
How good are the approximate equations at this distance?
Both the second and third values are within 5% of the first,
most accurate value.The second value is within 5% of the first,
most accurate value. The third...
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.27 cm having a uniformly distributed charge of +5.18 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.30 mm...
A uniformly charged disk with radius R = 25.0 cm and uniform charge density σ 7.60 x 10-3 C/m2 lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z 5.00 cm MN/C (b) z 10.0 cm MN/C (c) z-50.0 cm MN/C (d) z 200 cm MN/C
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