Question

In: Physics

sphere with radius "a" which is made of paramagnetic material (with permeability μ) is placed in...

sphere with radius "a" which is made of paramagnetic material (with permeability μ) is placed in uniform magnetic field B.

Find:

a) magnetic scalar potential inside and outside of  sphere.

b) magnetization density

c) surface curent density on sphere

Solutions

Expert Solution


Related Solutions

A sphere of radius a is made out of insulating material and has a charge uniformly...
A sphere of radius a is made out of insulating material and has a charge uniformly distributed throughout its volume. (a) What is the electric field inside the sphere? (b) What is the electric field outside the sphere? (c) How do your answers change if a thin spherical shell of radius b, where b >a, is added to the system and contains a charge −Q uniformly distributed on its surface?
A sphere made of a linear magnetic material with Xm is placed in a uniform magnetic field B0.
A sphere made of a linear magnetic material with Xm is placed in a uniform magnetic field B0. Determine the field inside the sphere. Hint: The external field will magnetize the sphere. This magnetization will create another uniform magnetic field inside the sphere which will cause an additional magnetization. Thus, you need to find a series expression.
An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the...
An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the center of a thin shell spherical with radius R2 and surface charge density uniform σ2. Here are the known parameters: R1 = 0.2 m R2 = 0.6 m ρ1 = 6 µC / m3 E = 0 everywhere outside the thin shell a) Using the Gauss theorem, calculate the value of the parameter σ2 in nC / m2 . b) Using the Gauss theorem,...
A) Ball made of wood and ball made of aluminum, of the same radius are placed...
A) Ball made of wood and ball made of aluminum, of the same radius are placed into reservoir with water. Aluminum ball after sinking rests at the bottom, wooden ball floats. Which ball experiences greater buoyancy force? a Aluminum b Wooden c Buoyncy forces are the same d There is not enough information B) Water flows through a pipe with speed of 18 m/s. Pipe suddenly widens to 3 times of its initial diameter. The speed of water in broader...
Consider a conducting hollow sphere with radius R that is placed in a homogeneous electric field...
Consider a conducting hollow sphere with radius R that is placed in a homogeneous electric field E_0 = E_0 e_z a) Calculate the electrostatic potential φ_0(r) for the homogeneous electric field E_0= E_0 e_z only and write the result in spherical coordinates. b) Assume that the sphere is grounded i.e. put the potential φ(R)=0 and calculate the electrostatic potential φ(r)=0 inside and outside the sphere. Hint: Consider that the electrostatic potential far away from the sphere should just give rise...
What is the difference between a paramagnetic and a diamagnetic material?
  What is the difference between a paramagnetic and a diamagnetic material? Do paramagnetism and diamagnetism give strong or weak effects? Give some examples of para and diamond magnets. What do you think happens if you place a small diamagnet (such as a very small piece of graphite) on top of a very strong magnetic field?
A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed...
A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed on it, uniformly distributed throughout its volume. Surrounding the sphere is a spherical conducting shell with inner radius 2R and outer radius 3R and has a charge of −2Q placed on it. The sphere and the shell share the same center. 1A: Determine the magnitude of the electric field, E(r), where r is the distance from the center of the sphere 1B: Determine the...
1. 6.0 μC are placed on a conducting sphere of radius 4.0 mm. -3.0 μC are...
1. 6.0 μC are placed on a conducting sphere of radius 4.0 mm. -3.0 μC are placed on a sphere of radius 2.0 mm. These conducting spheres are then joined by a long conducting wire (and the spheres are quite far away from each other). After the system comes to equilibrium, how much charge lies on either of these two spheres?
A sphere with radius a = 8 cm is in a conductive sphere shell with an...
A sphere with radius a = 8 cm is in a conductive sphere shell with an internal radius of b = 12 cm and an outer radius of c = 18 cm with a load of -200 mC. a) Determine the load distribution in the sphere and sphere shell. b) Calculate the value of the electric field in r = 0 cm, r = 4 cm, r = 8 cm, r = 10 cm, r = 14 cm, r =...
A cylindrical resistor with radius K and length L is made from a material with conductivity...
A cylindrical resistor with radius K and length L is made from a material with conductivity ?. The potential difference between the circular ends is V. What is the current that flows from one end to the other? What is the resistance? Show that the resistance you found is R = ?L/A, where ? is the resistivity of the material, and A is the cross-sectional area of the cylinder. (Hint: The electric field is constant throughout the resistor, but its...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT