3) Suppose we have a hoop lying centered at (0, 0, 0) on the xx-plane, of radius "a, now remove t...
A uniformly distributed annular disk of charge lies in the z=0 plane, centered at the origin and with inner and outer radii of a and b. Find the electric field intensity along the z-axis.
A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. (Figure 1) Part B What is the magnitude of the electric field E on the z axis as a function of z, for z >0?
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. PartAWhat is the direction of the electric fieldat any point on the z axis?parallel to the x axisparallel to the y axisparallel to the z axisin a circle parallel to the xy planePartBWhat is the magnitude of the electric fieldalong the positive z axis?Use k in your answer, where .E(z) =PartCImagine a small metal ball of mass m and negative charge -q0. The ball is released...
3. A charge O is uniformly distributed around a thin plastic ring lying in the yz-plane with the ring center at the origin O. A charge q is located on the x-axis a distance d from the origin. If the ring radius is R, develop an expression for the amount of work that must be done by an extemal force to move charge q to the point O. Assume that both O and q have the same sign: that is,...
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...
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...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...