Questions from Electronics

Q: We know that the charge on a conductor goes to the surface

We know that the charge on a conductor goes to the surface, but just how it distributes itself there is not easy to determine. One famous example in which the surface charge density can be calculated...

Q: (a) Consider an equilateral triangle, inscribed in a circle

(a) Consider an equilateral triangle, inscribed in a circle of radius a, with a point charge q at each vertex. The electric field is zero (obviously) at the center, but (surprisingly) there are three o...

Q: Prove or disprove (with a counterexample) the following

Prove or disprove (with a counterexample) the following Theorem: Suppose a conductor carrying a net charge Q, when placed in an external electric field Ee, experiences a force F; if the external field...

Q: The height of a certain hill (in feet) is given

The height of a certain hill (in feet) is given by h(x, y) = 10(2xy − 3x 2 − 4y2 − 18x + 28y + 12), where y is the distance (in miles) north, x the distance east of South Hadley. (a) Where is the top...

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 flat circular disk of radius R (Fig. 2.10) that carries a uniform surface charge σ. What does your f...

Q: A point charge q is at the center of an uncharged spherical

A point charge q is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. Question: How much work would it take to move the charge out to infinity (through a...

Q: What is the minimum-energy configuration for a system of N

What is the minimum-energy configuration for a system of N equal point charges placed on or inside a circle of radius R?17 Because the charge on a conductor goes to the surface, you might think the N...

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

Find the electric field a distance z from the center of a spherical surface of radius R (Fig. 2.11) that carries a uniform charge density σ. Treat the case z R (outside). Ex...

Q: Use your result in Prob. 2.7 to find the

Use your result in Prob. 2.7 to find the field inside and outside a solid sphere of radius R that carries a uniform volume charge density ρ. Express your answers in terms of the total charge of the sphe...

Q: Suppose the electric field in some region is found to be

Suppose the electric field in some region is found to be / in spherical coordinates (k is some constant). (a) Find the charge density ρ. (b) Find the total charge contained in a sphere of radius R, ce...