2. Hemispherical Bowl An inverted hemispherical bowl of radius R carries a uniform surface charge density...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the sphere, valid at distances r >> R. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the...
A proton rests at the center of the rim of a hemispherical bowl of radius R. What is the electric flux through the surface of the bowl?
2) A solid uniform ball of mass m and radius r rolls down a hemispherical bowl of radius R, starting from a height h above the bottom of the bowl. The surface on the left half of the bowl has sufficient friction to prevent slipping, and the right side is frictionless. R (a) (5 marks) Determine the angular speed w the ball rotates in terms of e', when it rolls without slipping. (b) (5 marks) Derive an expression for the...
The figure shows a ring of outer radius R = 23.0 cm, inner radius r = 0.160R, and uniform surface charge density σ = 8.00 pC/m2. With V = 0 at infinity, find the electric potential at point P on the central axis of the ring, at distance z = 2.10R from the center of the ring.
9. A cardboard tube of radius R and length L has a uniform charge density σ on its surface. Find the potential at a point on the axis of the tube at a distance d from the center.
A thin nonconducting spherical shell of radius 6 cm carries a uniform surface charge density 8 nC7m (a) What is the total charge on the shell? nC Find the electric field at the following radi (b) r 1.7 cm N/C (c) r 5.9 cm N/C (d) r 6.1 cm N/C e 12 cm N/C eBook +-12 points Tipler6 22 P041 A nonconducting solid sphere of radius 8.20 cm has a uniform volume charge density. The magnitude of the electric field...
1. Below is a hemispherical bowl (basically, half of a hollow sphere) with radius R and uniform charge per unit area: Figure 1: Problem 1 What is the electric field at the center of the hemisphere at the point P? To clarify, imagine we have a sphere instead of half a sphere. The point P corre sponds to the center of this sphere, so a height R above the bottom of the bowl.
1. A very long, uniformly charged cylinder has radius R and charge density \rho. Determine the electric field of this cylinder inside (r<R) and outside (r>R)2. A large, flat, nonconducting surface carries a uniform surface charge density σ. A small circular hole of radius R has been cut in the middle of the sheet. Determine the electric field at a distance z directly above the center of the hole.3. You have a solid, nonconducting sphere that is inside of, and...
A thin nonconducting spherical shell of radius 6 cm carries a uniform surface charge density σ = 9 nC/m2. (a) What is the total charge on the shell? Find the electric field at the following radii (b) r = 2.1 cm N/C (c) r = 5.9 cm N/C (d) r = 6.1 cm N/C (e) r = 18 cm N/C
A cylindrical shell of length 160 m and radius 8 cm carries a uniform surface charge density of σ = 11 nC/m2. (a) What is the total charge on the shell? nC Find the electric field at the ends of the following radial distances from the long axis of the cylinder. (b) r = 4 cm N/C (c) r = 7.9 cm N/C (d) r = 8.1 cm N/C (e) r = 12 cm N/C