Question

In: Physics

Given an infinitely long rod with finite radius r (not 0), which is homogeneously charged with...

Given an infinitely long rod with finite radius r (not 0), which is homogeneously charged with the charge density ρ.What material is the rod made of, conductor or dielectric?
What is the field strength on the axis? Find several reasons for your Answer. Calculate the electric field inside and outside the rod.

Do the same for an infinite plane and a finite sphere of radius R

Solutions

Expert Solution

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

An infinitely long, uniformly charged, insulating, solid cylinder, with radius R has spher- ical holes cut...
An infinitely long, uniformly charged, insulating, solid cylinder, with radius R has spher- ical holes cut into it of radius a < R along its axis. The cylinder is placed with its axis along the z − axis. These holes have centers at z = 0, ±d, ±2d, . . . ± nd with d > 2a and n run- ning to ∞. Calculate the electric field from the cylinder at a distance r > R on the x, y...
An infinitely long, solid non-conducting rod (cylinder) with circular cross section of radius a has its...
An infinitely long, solid non-conducting rod (cylinder) with circular cross section of radius a has its axis along the z-axis. It has a non-uniform volume charge density given in cylindrical coordinates by ρ(s) = C (s/a)^2 ,where C is a positive constant. In addition, there is a uniform volume charge density −σ on the outer cylindrical shell of radius b, where σ is a positive constant. Region 2 is a vacuum. For parts (a) through (c), use Gauss’ Law and...
An infinitely long hollow cylinder of radius R is carrying a uniform surface charge density σ...
An infinitely long hollow cylinder of radius R is carrying a uniform surface charge density σ (φ). (a) Determine the general form of the solution of Laplace’s equation for this geometry. (b) Use the boundary condition σ(φ) = σ0cos(φ) to determine the potential inside and outside of the cylinder. (c) Using your answer to part (b), determine the electric field inside and outside of the cylinder.
1. An infinitely long solenoid of radius R carries n turns per unit length and current...
1. An infinitely long solenoid of radius R carries n turns per unit length and current I and is oriented such that its axis is along the z direction. What direction must a particle of charge q be moving such that it feels zero force (a) inside the solenoid (b) outside the solenoid 2. Find the maximum magnetic flux through a circular coil of radius L such that L < R placed inside the solenoid of the previous problem.
​An infinitely long solid insulating cylinder of radius a = 2.2 cm
An infinitely long solid insulating cylinder of radius a = 2.2 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 48 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 18.3 cm, and outer radius C =20.3 cm. The conducting shell has a linear charge density λ = 0.56 μC/m3. 
An infinitely long solid insulating cylinder of radius a = 2.1cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ  = 27μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density λ = -0.36μC/m.1 What is Ey(R), the y-component of the electric field at point...
An infinitely long solid insulating cylinder of radius a = 2.1cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ  = 27μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density λ = -0.36μC/m.1 What is Ey(R), the y-component of the electric field at point...
A metal sphere of radius 12 cm is charged using a rubber rod and acquires a...
A metal sphere of radius 12 cm is charged using a rubber rod and acquires a charge of Q 1 = +5.8 μC. It is brought into contact with another metal sphere having a radius of 6.5 cm and an initial charge of Q 2 = +2.0 μC. After coming into contact, the two spheres are carefully separated. (a) What is the charge that ends up on each sphere after being in contact? (b) How many excess protons or electrons...
An infinitely long solid insulating cylinder of radius a = 5.6 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 5.6 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 25 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.5 cm, and outer radius c = 17.5 cm. The conducting shell has a linear charge density λ = -0.41μC/m. 1. What is V(P) – V(R), the potential difference between...
An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 29 uC/m^3. Concentric with the cylinder is cylindrical conduction shell of inner radius b = 10.2cm and outer radius c= 12.2 cm. The conducting shell has a linear charge density = -0.33 uC/m. 1. What is Ey (R), the y-component of the electric field at point...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT