Two thin, parallel, circular plates of radii a have been placed with their centres on the ˆz-axis. The lower one has a charge Q and is in the z = 0 plane while the upper one has a charge Q and is in the z = a plane. On both plates the charge is uniformly distributed.
The electric field on the axis of a charged disc of radius a in the xy plane is
where z > 0. Find the electric potential at a point on the ˆz-axis above both discs. Let V = 0 at 1. Hint: it might be useful first to evaluate V(z)V(z0) and then let z0 ! 1.
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Two thin, parallel, circular plates of radii a have been placed
with their centres on the...
4+4: Physics 2524, Discussion Disc. Sec: Consider a "Capacitor" made of two thin, flat disks of...
4+4: Physics 2524, Discussion Disc. Sec: Consider a "Capacitor" made of two thin, flat disks of radius R. The disks are perpendicular to the z-axis as shown, the first at z 0 with charge Qi, the second at z-a with charge Qr Assume the charge is distributed uniformly on the disks. Your job is to calculate the electric field along the z-axis. Disk at z = a, Radius R Charge Q Disk at z=0, Radius R Charge Q Making the...
1. *A thin disc of radius a and height h contains charge +q uniformly distributed throughout the disc. The disc lies in...
1. *A thin disc of radius a and height h contains charge +q uniformly distributed throughout the disc. The disc lies in the ry-plane, is located with its centre at the origin, and rotates about the z-axis with angular velocity -w (a) Using cylindrical coordinates (s , z), specify the current density J(s φ z) as a func- tion of position. Find the magnetic dipole moment Hint: After you have determined the volume current density, you can use this result...
1. *A thin disc of radius a and height h contains charge +q uniformly distributed throughout the disc. The disc lies in...
1. *A thin disc of radius a and height h contains charge +q uniformly distributed throughout the disc. The disc lies in the ry-plane, is located with its centre at the origin, and rotates about the z-axis with angular velocity -w (a) Using cylindrical coordinates (s , z), specify the current density J(s φ z) as a func- tion of position. Find the magnetic dipole moment Hint: After you have determined the volume current density, you can use this result...
A uniform charge of +47.0 μC is on a thin circular ring lying in an xy...
A uniform charge of +47.0 μC is on a thin circular ring lying in an xy plane and centered on the origin. The ring's radius is 8.90 cm. If point A is at the origin and point B is on the z axis at z = 3.70 cm, what is VB – VA (in V)?
Problem 6 Charge Q is uniformly distributed over a circular ring on the xy plane with...
Problem 6 Charge Q is uniformly distributed over a circular ring on the xy plane with an inner and outer radius a and b, respectively. Calculate the electric field at any point on the z axis by using Coulomb's law. Then, calculate the electric potential on the z axis and use this expression to find the z component of the electric field. Check that the electric field calculated through the potential is the same as the one calculated by using...
A thin circular ring of radius R (as in the figure) has charge +Q/2 uniformly distributed...
A thin circular ring of radius R (as in the figure) has charge +Q/2 uniformly distributed on the top half, and -Q/2 on the bottom hall (x2 + R2 - Part B Determine the components of the electric field E at a distance : along the axis? Let V = 0 at r = 0. Express your answers in terms of the variables Q, R, X, and appropriate constants separated by commas. 180 A¢ Q * O O ? R...
1. Parallel plates. You have two equal but oppositely charged parallel conducting plates, separated by 10...
1. Parallel plates. You have two equal but oppositely charged parallel conducting plates, separated by 10 cm. A voltmeter shows that the potential difference between the plates is 500 V. (a) Which is at a higher potential, the positive or negative plate? (b) How big is the electric field between the plates? (c) You let go of an electron next to the negative plate. How much work does the electric field do in moving the electron to the positive plate?...
1. Two circular metal plates. A and B, each of radius-= 0.150 m are placed parallel...
1. Two circular metal plates. A and B, each of radius-= 0.150 m are placed parallel to each other a distance d = 0.070 mh apart as shown in the figure. The plates carry equal and opposite amounts of charge Q = 5.00 μ C with plate A carrying the positive charge. (a) Calculate the magnitude of the electric field between the plates. Give its direc- tion. (b) Draw five (5) electric field lines like you did in the lab....
The figure shows two concentric rings of radii R and R 2.17R, that lie on the...
The figure shows two concentric rings of radii R and R 2.17R, that lie on the same plane. Point P lies on the central z axis, at distance D = 2.11R from the center of the rings. The smaller ring has uniformly distributed charge Q 3.07 x 106 C. What is the uniformly distributed charge on the larger ring if the net electric field at P is zero? Number the tolerance is +/-5% Click if you would like to Show...
3.12 An infinite, thin, plane sheet of conducting material has a circular hole of radius a...
3.12 An infinite, thin, plane sheet of conducting material has a circular hole of radius a cut in it. A thin, flat disc of the same material and slightly smaller radius lies in the plane, filling the hole, but separated from the sheet by a very narrow insulating ring. The disc is maintained at a fixed potential V, while the infinite sheet is kept at zero potential. (a) Using appropriate cylindrical coordinates, find an integral expression involv- ing Bessei functions...
4+4: Physics 2524, Discussion Disc. Sec: Consider a "Capacitor" made of two thin, flat disks of radius R. The disks are perpendicular to the z-axis as shown, the first at z 0 with charge Qi, the second at z-a with charge Qr Assume the charge is distributed uniformly on the disks. Your job is to calculate the electric field along the z-axis. Disk at z = a, Radius R Charge Q Disk at z=0, Radius R Charge Q Making the...
1. *A thin disc of radius a and height h contains charge +q uniformly distributed throughout the disc. The disc lies in the ry-plane, is located with its centre at the origin, and rotates about the z-axis with angular velocity -w (a) Using cylindrical coordinates (s , z), specify the current density J(s φ z) as a func- tion of position. Find the magnetic dipole moment Hint: After you have determined the volume current density, you can use this result...
1. *A thin disc of radius a and height h contains charge +q uniformly distributed throughout the disc. The disc lies in the ry-plane, is located with its centre at the origin, and rotates about the z-axis with angular velocity -w (a) Using cylindrical coordinates (s , z), specify the current density J(s φ z) as a func- tion of position. Find the magnetic dipole moment Hint: After you have determined the volume current density, you can use this result...
Problem 6 Charge Q is uniformly distributed over a circular ring on the xy plane with an inner and outer radius a and b, respectively. Calculate the electric field at any point on the z axis by using Coulomb's law. Then, calculate the electric potential on the z axis and use this expression to find the z component of the electric field. Check that the electric field calculated through the potential is the same as the one calculated by using...
A thin circular ring of radius R (as in the figure) has charge +Q/2 uniformly distributed on the top half, and -Q/2 on the bottom hall (x2 + R2 - Part B Determine the components of the electric field E at a distance : along the axis? Let V = 0 at r = 0. Express your answers in terms of the variables Q, R, X, and appropriate constants separated by commas. 180 A¢ Q * O O ? R...
1. Parallel plates. You have two equal but oppositely charged parallel conducting plates, separated by 10 cm. A voltmeter shows that the potential difference between the plates is 500 V. (a) Which is at a higher potential, the positive or negative plate? (b) How big is the electric field between the plates? (c) You let go of an electron next to the negative plate. How much work does the electric field do in moving the electron to the positive plate?...
1. Two circular metal plates. A and B, each of radius-= 0.150 m are placed parallel to each other a distance d = 0.070 mh apart as shown in the figure. The plates carry equal and opposite amounts of charge Q = 5.00 μ C with plate A carrying the positive charge. (a) Calculate the magnitude of the electric field between the plates. Give its direc- tion. (b) Draw five (5) electric field lines like you did in the lab....
The figure shows two concentric rings of radii R and R 2.17R, that lie on the same plane. Point P lies on the central z axis, at distance D = 2.11R from the center of the rings. The smaller ring has uniformly distributed charge Q 3.07 x 106 C. What is the uniformly distributed charge on the larger ring if the net electric field at P is zero? Number the tolerance is +/-5% Click if you would like to Show...
3.12 An infinite, thin, plane sheet of conducting material has a circular hole of radius a cut in it. A thin, flat disc of the same material and slightly smaller radius lies in the plane, filling the hole, but separated from the sheet by a very narrow insulating ring. The disc is maintained at a fixed potential V, while the infinite sheet is kept at zero potential. (a) Using appropriate cylindrical coordinates, find an integral expression involv- ing Bessei functions...
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