Suppose you have a hollow spherical conductor. Is it possible for the net charge on the sphere to be negative, but the charge on the outer surface of the conductor to be positive? Explain your answer.

Two identical beads each have a mass m and charge q. When placed in a hemispherical bowl of radius R with frictionless, nonconducting walls, the beads move, and at equilibrium, they are a distance d apart (as shown). (a) Determine the charge q on each bead. (b) Determine the charge required for d to become equal to 2R.

Imagine there are two nested spheres made of different materials: Inner sphere: Made of metal (conductor) with two shells. It has an inner radius of 0.5m, outer radius of 1.5m, and a total negative charge of -1C spread uniformly on its outer surface. Outer sphere: Made of an insulator. It has an inner radius of 2.5m and outer radius of 3m. It carries a positive charge of +2C spread uniformly on its outer surface. Inside these spheres, at the exact center, there's a tiny positive point charge of 0.001C. The question asks: a) How much charge is present on each surface (inner and outer) of the metal sphere? b) What is the electric field strength at different locations (inside and outside the spheres) as you move away from the center? The locations are divided into 5 zones: 1. Inside the inner metal shell (radius less than 0.5m) 2. Between the inner and outer metal shell (radius between 0.5m and 1.5m) 3. Between the metal and insulator shells (radius between 1.5m and 2.5m) 4. Between the…

An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.45 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. Part (A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell?  Part (B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell?  Part (C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.