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Consider a rotating disk of radius R with uniform surface charge density sigma...
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?
1. A thin circular disk of radius R carries a uniform surface charge o and is...
1. A thin circular disk of radius R carries a uniform surface charge o and is spinning with a constant angular velocity w. (a) Find the magnetic dipole moment of this disk. (Hint: Split the disk into rings, find the dipole moment of each ring and integrate. (b) Find the magnetic field caused by this dipole moment.
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...
For the next six problems, consider a uniformly charged disk of radius R. The total charge...
For the next six problems, consider a uniformly charged disk of radius R. The total charge on the disk is Q. To find the electric potential and field at a point P (x>0) on the x-axis which is perpendicular to the disk with the origin at the center of the disk, it is necessary to consider the contribution from an infinitesimally thin ring of radius a and width da on the disk, as shown. What is the surface charge density...
4) A dielectric ball of radius R with a uniform volume charge density protates about a...
4) A dielectric ball of radius R with a uniform volume charge density protates about a diameter with angular velocity 0. What is the torque exerted on the ball by a uniform magnetic field B perpendicular to the axis of rotation?
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass.
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass. The axis is perpendicular to the disk. The moment of inertial for the disk with a central axis is I MR2. Two non-rotating smaller disks, each with mass M2 and radius R/4, are glued on the original disk as shown in the figure. (a) Show that the ratio of the moments of inertia is given by I'/I = 35/16, where I' is the moment...
a). Find the electric field along the axis of a thin disk placed in the xy...
a). Find the electric field along the axis of a thin disk placed in the xy plane, at a distance z from the disk center (the field at distance z from center). It has a uniform charge of density σ and an outer radius R. b). Now consider a similar disk with annular shape, it is the disk in part (a) but with a concentric hole of radius R/2. Calculate the electric field along the z axis. c). Find electric...
A cylindrical shell with radius R and length W carries a uniform chargeQ and rotates about its axis with angular speed ω.
A cylindrical shell with radius R and
length W carries a uniform chargeQ and rotates about its axis with angular
speed ω. The center of the cylinder lies
at the origin O and its axis is
coincident with the x-axis, as shown in
(Figure 1).Part AWhat is the charge density σ?Express your answer in terms of the variables Q, R, and W.σ =______________Part BWhat is the differential current dI on
a circular strip of the cylinder centered at x and with width dx?Express your...
A circular disk of radius R=1m has a uniform surface charge density ρS=0.08 μC/m2. The disk...
A circular disk of radius R=1m has a uniform surface charge
density ρS=0.08 μC/m2. The disk lies on the x=0 plane and is
centered at point O(0,0,0).
(2 points) The electric field at the point (2, 6,4) is, in SI units of N/C 10-9 4πε0 E= Introducing a point charge of -100 nC at some point P will make E 0 at the point (2,6,4). Find P. ANSWER: P-(
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?
1. A thin circular disk of radius R carries a uniform surface charge o and is spinning with a constant angular velocity w. (a) Find the magnetic dipole moment of this disk. (Hint: Split the disk into rings, find the dipole moment of each ring and integrate. (b) Find the magnetic field caused by this dipole moment.
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...
For the next six problems, consider a uniformly charged disk of radius R. The total charge on the disk is Q. To find the electric potential and field at a point P (x>0) on the x-axis which is perpendicular to the disk with the origin at the center of the disk, it is necessary to consider the contribution from an infinitesimally thin ring of radius a and width da on the disk, as shown. What is the surface charge density...
4) A dielectric ball of radius R with a uniform volume charge density protates about a diameter with angular velocity 0. What is the torque exerted on the ball by a uniform magnetic field B perpendicular to the axis of rotation?
A cylindrical shell with radius R and
length W carries a uniform chargeQ and rotates about its axis with angular
speed ω. The center of the cylinder lies
at the origin O and its axis is
coincident with the x-axis, as shown in
(Figure 1).Part AWhat is the charge density σ?Express your answer in terms of the variables Q, R, and W.σ =______________Part BWhat is the differential current dI on
a circular strip of the cylinder centered at x and with width dx?Express your...
A circular disk of radius R=1m has a uniform surface charge
density ρS=0.08 μC/m2. The disk lies on the x=0 plane and is
centered at point O(0,0,0).
(2 points) The electric field at the point (2, 6,4) is, in SI units of N/C 10-9 4πε0 E= Introducing a point charge of -100 nC at some point P will make E 0 at the point (2,6,4). Find P. ANSWER: P-(
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