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4. A flat disk of radius R, carrying a uniform charge density + ơ, is rotating at a constant angu...
part b please Consider a rotating disk of radius R with uniform surface charge density sigma...
part b please
Consider a rotating disk of radius R with uniform surface charge density sigma and angular rotation speed omega. (a) show that for an annular strip of radius r, and width dr that the current dI = omega sigma r dr (b) Show that the magnetic field in the center of the disk is given by B = 1/2 mu_0 sigma omega R
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...
A flat circular loop of wire of radius R carrying a current I is placed in...
A flat circular loop of wire of radius R carrying a current I is placed in a uniform magnetic field B that is directed in the plane of the current loop. What is the magnetic moment M of the loop? What is the magnitude of the torque acting on the loop? In which direction the loop will rotate under the influence of this torque?
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?
An infinitely long cylindrical conductor with radius R has a uniform surface charge density ơ on...
An infinitely long cylindrical conductor with radius R has a uniform surface charge density ơ on its surface. From symmetry, we know that the electric field is pointing radially outward: E-EO)r. where r is the distance to the central axis of the cylinder, and f is the unit vector pointing radially outward from the central axis of the cylinder. 3. (10 points) (10 points) (a) Apply Gauss's law to find E(r) (b) Show that at r-R+ δ with δ σ/a)....
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-(
QUESTION 16 A disk of radius 5 cm carries a uniform surface charge density of 4...
QUESTION 16 A disk of radius 5 cm carries a uniform surface charge density of 4 μC/m. Find the exact electric field on the axis of the disk at a distance of 0.03 cm and compare this to the result for an infinite disk. 224,027 and 225,430 N/C for a finite and infinite disk, respectively. 224,530 and 225,430 N/C for a finite and infinite disk, respectively. 225,430 and 225,880 N/C for a finite and infinite disk, respectively 224,530 and 225,880...
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
part b please
Consider a rotating disk of radius R with uniform surface charge density sigma and angular rotation speed omega. (a) show that for an annular strip of radius r, and width dr that the current dI = omega sigma r dr (b) Show that the magnetic field in the center of the disk is given by B = 1/2 mu_0 sigma omega R
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...
A flat circular loop of wire of radius R carrying a current I is placed in a uniform magnetic field B that is directed in the plane of the current loop. What is the magnetic moment M of the loop? What is the magnitude of the torque acting on the loop? In which direction the loop will rotate under the influence of this torque?
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?
An infinitely long cylindrical conductor with radius R has a uniform surface charge density ơ on its surface. From symmetry, we know that the electric field is pointing radially outward: E-EO)r. where r is the distance to the central axis of the cylinder, and f is the unit vector pointing radially outward from the central axis of the cylinder. 3. (10 points) (10 points) (a) Apply Gauss's law to find E(r) (b) Show that at r-R+ δ with δ σ/a)....
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-(
QUESTION 16 A disk of radius 5 cm carries a uniform surface charge density of 4 μC/m. Find the exact electric field on the axis of the disk at a distance of 0.03 cm and compare this to the result for an infinite disk. 224,027 and 225,430 N/C for a finite and infinite disk, respectively. 224,530 and 225,430 N/C for a finite and infinite disk, respectively. 225,430 and 225,880 N/C for a finite and infinite disk, respectively 224,530 and 225,880...
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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