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The plate shown in the drawing below is a half cylinder of radius r uniform surface charge Ps. A ...
Help with question 2 1. what is the electric field at the centre (r = 0)...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
A long, conductive cylinder of radius R 2.70 cm and uniform charge per unit length 151...
A long, conductive cylinder of radius R 2.70 cm and uniform charge per unit length 151 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2 9.45 cm and R3 10.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p 79.8 pC/m3, find the magnitude of the electric field at the following radial distances from the central axis: Number 1.51 cm 0 N/C Number RR, R 6.08 cm 44.65 N/C Incorrect....
Problem 1: Dipole moment. We have a sphere of radius R with a uniform surface charge...
Problem 1: Dipole moment. We have a sphere of radius R with a uniform surface charge density +ao over the northern hemisphere, and -oo over the southern hemisphere (oo is a positive constant). There are no other charges present inside or outside the sphere. Compute the dipole moment p of this charge distribution assuming the z-axis is the symmetry axis of the distribution. Does p depend on your choice of origin? Why or why not? Are any components of p...
2. It is well-known that living on the inside surface of a cylinder of radius R...
2. It is well-known that living on the inside surface of a cylinder of radius R when rotating at a rate of o about its axis in the outer-space, can simulate the same gravitational g, as living on earth if Ro2-g Show that, inside such a cylinder, when projectiles are shot in any arbitrary direction at low speeds (v<< Ro) and to low altitudes at nearby points (Ar<R), the equation of motion of such trajectories (as observed by a an...
A positive charge +Q is uniformly distributed along the are of a half-circle of radius R,...
A positive charge +Q is uniformly distributed along the are of a half-circle of radius R, in the xy-plane with the center at the origin (as shown). Point P is at a height z along the z-axis. (a) Using integration and superposition of the potential due to little dqs, deter- mine the electric potential V at P, as a function of z. (First focus on the setup with a clear plan of attack (good drawing with clear variables). DRAW A...
1. what is the electric field at the centre (r = 0) of a hemisphere bounded...
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density. Let's make Pl =...
A uniform circular ring charge Q- 6.00 microCoulombs and radius R-1.10 cm is located in the...
A uniform circular ring charge Q- 6.00 microCoulombs and radius R-1.10 cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point located at 2 3.70 cm? 2.612ENC Coulomb's Law gives the strength of the electric field from any element of charge along the ring. For point P on the axis, only the 2-component of the field is nonzero when you integrate over the...
Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ....
Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ. 1. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: ε0.) 2. What is it for r > R? E(r>R) = ? Sketch E as a function of r, with r going from 0 to 3R. Make sure to label your axes and include scales (i.e.,...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface char...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
2.1 In this problem we find the electric field on the axis of a cylindrical shell...
2.1 In this problem we find the electric field on the axis of a
cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
A long, conductive cylinder of radius R 2.70 cm and uniform charge per unit length 151 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2 9.45 cm and R3 10.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p 79.8 pC/m3, find the magnitude of the electric field at the following radial distances from the central axis: Number 1.51 cm 0 N/C Number RR, R 6.08 cm 44.65 N/C Incorrect....
Problem 1: Dipole moment. We have a sphere of radius R with a uniform surface charge density +ao over the northern hemisphere, and -oo over the southern hemisphere (oo is a positive constant). There are no other charges present inside or outside the sphere. Compute the dipole moment p of this charge distribution assuming the z-axis is the symmetry axis of the distribution. Does p depend on your choice of origin? Why or why not? Are any components of p...
2. It is well-known that living on the inside surface of a cylinder of radius R when rotating at a rate of o about its axis in the outer-space, can simulate the same gravitational g, as living on earth if Ro2-g Show that, inside such a cylinder, when projectiles are shot in any arbitrary direction at low speeds (v<< Ro) and to low altitudes at nearby points (Ar<R), the equation of motion of such trajectories (as observed by a an...
A positive charge +Q is uniformly distributed along the are of a half-circle of radius R, in the xy-plane with the center at the origin (as shown). Point P is at a height z along the z-axis. (a) Using integration and superposition of the potential due to little dqs, deter- mine the electric potential V at P, as a function of z. (First focus on the setup with a clear plan of attack (good drawing with clear variables). DRAW A...
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density. Let's make Pl =...
A uniform circular ring charge Q- 6.00 microCoulombs and radius R-1.10 cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point located at 2 3.70 cm? 2.612ENC Coulomb's Law gives the strength of the electric field from any element of charge along the ring. For point P on the axis, only the 2-component of the field is nonzero when you integrate over the...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
2.1 In this problem we find the electric field on the axis of a
cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
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