Homework Answers
Since, it is surface charge density, therefore we can say the charge of disk is distributed uniformly over the area of the disk of radius r .
Therefore, . Surface charge density = Total charge of disk/ area of disk
= Q/ (πr2)
Therefore, option B is correct.
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For the next six problems, consider a uniformly charged disk of radius R. The total charge...
4. A flat disk of radius R, carrying a uniform charge density + ơ, is rotating at a constant angu...
4. A flat disk of radius R, carrying a uniform charge density + ơ, is rotating at a constant angular velocity o. a) What is the magnitude of the surface current density K at a distance s from the ccnicr f the disk? b) Calculate the magntic field (magnitude and direction) at a point P located on the axis of the disk. [Hint: Treat the disk as a collection of rings of width dr. The current in each ring is...
Consider a thin flat insulating disk of radius R with a hole in the center of...
Consider a thin flat insulating
disk of radius R with a hole in the center of radius R/2. If this
thin annular disk has uniform surface charge density σ, what is the
electric potential at a distance x from the center of the hole
along the central axis?
Please answer An insulating disk with radius R has uniform surface charge density ơ. The total...
Please answer
An insulating disk with radius R has uniform surface charge density ơ. The total charge on the disk is Q. Please write all of the final answers to the following questions in terms org, not ơ. a) Through direct integration, find the expression for the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the b) Write the expression for Es, the electric field, at a...
P8. Suppose a disk of radius R has a total charge Q. Its charge is not...
P8. Suppose a disk of radius R has a total charge Q. Its charge is not uniform across the disk, but has a surface charge density ơ-q2-R). (a) Show that Og 3rK (b) Find the electric field at a point along the axis of the disk. 20
Suppose you design an apparatus in which a uniformly charged disk of radius R is to...
Suppose you design an apparatus in which a uniformly charged
disk of radius R is to produce an electric field. The field
magnitude is most important along the central perpendicular axis of
the disk, at a point P at distance 2.50R from the disk (Fig. a).
Cost analysis suggests that you switch to a ring of the same outer
radius R but with inner radius R/2.00 (Fig. b). Assume that the
ring will have the same surface charge density as...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.50R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.50 (see Figure (b)). Assume that the ring will have the same surface charge...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.20R from the disk (see Figure (a)) Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.20 (see Figure (b)). Assume that the ring ll have the same surface charge...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field.
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.60R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.60 (see Figure (b)). Assume that the ring will have the same surface charge...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field.
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 2.00R from the dis (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/2.00 (see Figure (b)). Assume that the ring will have the same surface charge...
Uniformly Charged Disk Part A The figure below shows a thin uniformly charged disk with surface...
Uniformly Charged Disk Part A The figure below shows a thin uniformly charged disk with surface charge density σ and radius R. Imagine the disk divided into rings of varying radii r. Find an expression for the charge dą on a ring with radius r and thickness dr. Your expression should be in terms of the given variables and other known constants such as k Greek letters should be spelled out, for example type sigma" without the quotations for σ...
4. A flat disk of radius R, carrying a uniform charge density + ơ, is rotating at a constant angular velocity o. a) What is the magnitude of the surface current density K at a distance s from the ccnicr f the disk? b) Calculate the magntic field (magnitude and direction) at a point P located on the axis of the disk. [Hint: Treat the disk as a collection of rings of width dr. The current in each ring is...
Consider a thin flat insulating
disk of radius R with a hole in the center of radius R/2. If this
thin annular disk has uniform surface charge density σ, what is the
electric potential at a distance x from the center of the hole
along the central axis?
Please answer
An insulating disk with radius R has uniform surface charge density ơ. The total charge on the disk is Q. Please write all of the final answers to the following questions in terms org, not ơ. a) Through direct integration, find the expression for the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the b) Write the expression for Es, the electric field, at a...
P8. Suppose a disk of radius R has a total charge Q. Its charge is not uniform across the disk, but has a surface charge density ơ-q2-R). (a) Show that Og 3rK (b) Find the electric field at a point along the axis of the disk. 20
Suppose you design an apparatus in which a uniformly charged
disk of radius R is to produce an electric field. The field
magnitude is most important along the central perpendicular axis of
the disk, at a point P at distance 2.50R from the disk (Fig. a).
Cost analysis suggests that you switch to a ring of the same outer
radius R but with inner radius R/2.00 (Fig. b). Assume that the
ring will have the same surface charge density as...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.50R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.50 (see Figure (b)). Assume that the ring will have the same surface charge...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.20R from the disk (see Figure (a)) Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.20 (see Figure (b)). Assume that the ring ll have the same surface charge...
Uniformly Charged Disk Part A The figure below shows a thin uniformly charged disk with surface charge density σ and radius R. Imagine the disk divided into rings of varying radii r. Find an expression for the charge dą on a ring with radius r and thickness dr. Your expression should be in terms of the given variables and other known constants such as k Greek letters should be spelled out, for example type sigma" without the quotations for σ...
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