Questions from Electronics

Q: Here is a fourth way of computing the energy of a uniformly

Here is a fourth way of computing the energy of a uniformly charged solid sphere: Assemble it like a snowball, layer by layer, each time bringing in an infinitesimal charge dq from far away and smearin...

Q: Consider two concentric spherical shells, of radii a and b.

Consider two concentric spherical shells, of radii a and b. Suppose the inner one carries a charge q, and the outer one a charge -q (both of them uniformly distributed over the surface). Calculate the...

Q: Find the interaction energy / for two point charges

Find the interaction energy / for two point charges, q1 and q2, a distance a apart. [Hint: Put q1 at the origin and q2 on the z axis; use spherical coordinates, and do the r integral first.]

Q: A metal sphere of radius R, carrying charge q, is

A metal sphere of radius R, carrying charge q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b, as in Fig. 2.48). The shell carries no net charge. (a) Find the surface...

Q: Two spherical cavities, of radii a and b, are hollowed

Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral) conducting sphere of radius R (Fig. 2.49). At the center of each cavity a point charge is placedâ€...

Q: Find the electric field a distance z above the center of a

Find the electric field a distance z above the center of a square loop (side a) carrying uniform line charge λ (Fig. 2.8). [Hint: Use the result of Ex. 2.2.]

Q: (a) A point charge q is inside a cavity in

(a) A point charge q is inside a cavity in an uncharged conductor (Fig. 2.45). Is the force on q necessarily zero?11 (b) Is the force between a point charge and a nearby uncharged conductor always att...