Questions from Electronics

Q: Find the potential on the axis of a uniformly charged solid cylinder

Find the potential on the axis of a uniformly charged solid cylinder, a distance z from the center. The length of the cylinder is L, its radius is R, and the charge density is ρ. Use your result to ca...

Q: Use Eq. 2.29 to calculate the potential inside a

Use Eq. 2.29 to calculate the potential inside a uniformly charged solid sphere of radius R and total charge q. Compare your answer to Prob. 2.21.

Q: Check that Eq. 2.29 satisfies Poisson’s equation, by

Check that Eq. 2.29 satisfies Poisson’s equation, by applying the Laplacian and using Eq. 1.102.

Q: Find the electric field a distance z above one end of a

Find the electric field a distance z above one end of a straight line segment of length L (Fig. 2.7) that carries a uniform line charge λ. Check that your formula is consis...

Q: (a) Check that the results of Exs. 2.

(a) Check that the results of Exs. 2.5 and 2.6, and Prob. 2.11, are consistent with Eq. 2.33. (b) Use Gauss’s law to find the field inside and outside a long hollow cylindrical tube, which carries a uni...

Q: (a) Three charges are situated at the corners of a

(a) Three charges are situated at the corners of a square (side a), as shown in Fig. 2.41. How much work does it take to bring in another charge, +q, from far away and place it in the fourth corner? (...

Q: Find the transformation matrix R that describes a rotation by 120◦

Find the transformation matrix R that describes a rotation by 120◦ about an axis from the origin through the point (1, 1, 1). The rotation is clockwise as you look down the axis toward the origin.

Q: Two positive point charges, qA and qB (masses m A

Two positive point charges, qA and qB (masses m A and m B) are at rest, held together by a massless string of length a. Now the string is cut, and the particles fly off in opposite directions. How fast...

Q: Consider an infinite chain of point charges, ±q (

Consider an infinite chain of point charges, ±q (with alternating signs), strung out along the x axis, each a distance  from its nearest neighbors. Find the work per particle required to assemble this...

Q: Find the energy stored in a uniformly charged solid sphere of radius

Find the energy stored in a uniformly charged solid sphere of radius R and charge q. Do it three different ways: (a) Use Eq. 2.43. You found the potential in Prob. 2.21. (b) Use Eq. 2.45. Don’t forget...