There is a grounded conducting plane on the xy plane and a grounded hemisphere of radius R, in the positive z-axis, centered at the origin. We put a point charge +Q on the z-axis, and its distance from the origin is S. Find the force on the point charge.
There is a grounded conducting plane on the xy plane and a grounded hemisphere of radius...
Problem 6a: A non-conducting thin shell in the shape of a hemisphere of radius R centered at the origin has a total charge Q spread uniformly over its surface. The hemisphere is oriented such that its base is in the (y.z) plane. al. Find an expression for the surface charge density η. a2. Find the electric field at the center of the hemisphere, i.e. at x-0. Hint: consider the hemisphere as a stack of rings
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
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...
A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin. (a) Derive a formula for the (z-directed) electric field E(z) at any point on the +z-axis, and graph this for-∞ < z < ∞ (indicate direction as ±; note E(-z) =-E(z). (b) At what value of z is E(z) maximal, and what is this maximum? (c) Sketch the field lines-note the bottleneck!
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?
8. (3) A ring with charge Q and radius R is in the x-y plane and is centered on the origin. Derive an expression for the electric potential at a point P on the z-axis a distance z above the x-y plane Please also indicate how much energy it would take to bring a charge q from far away and place it at point P
The 5th page of lecture 24: 2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane. 3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane.
4. Two charges are located above a grounded conducting plane defined by 0: a charge q at r 0.0 d) and a charge-21 at r= (d, d, d) . Find the force on the first charge.
A circular loop of wire, centered at the origin, lies in the xy plane. The loop has a radius of 10.0cm. A cylindrical magnet (radius 0.5 cm and length-5 cm) starts out at rest with its primary axis along the z-axis. The bottom tip of the magnet is a north-pole and is situated at z 8 cm. The magnet is dropped straight down so that it falls north- pole down and it goes straight through the center of the loop....