1) A dielectric sphere with a dielectric constant εr = 3 and a radius a =...

1) A dielectric sphere with a dielectric constant εr = 3 and a radius a = 2 m has a uniformly distributed total charge of Q = 1 μC on the surface. The environment outside the sphere is the cavity. Electrostatic energy in the cavity; Calculate separately with the formulas i) ?=1/2∫????? and ii) ?=1/2∫?⃗ ?⃗⃗ ??. How did the results you find change if the sphere was conductive?

Expert Solution

please upvote

genius_generous answered 2 years ago

There is a dielectric sphere with radius a [m] and relative permittivity εr. This dielectric has...

There is a dielectric sphere with radius a [m] and relative permittivity εr. This dielectric has a uniform charge density ρ [C / m3) This dielectric sphere has an inner radius b [m] (a <b). It shall be surrounded by a hollow grounded conductor. The center of the dielectric sphere Answer the following questions as if the centers are the same. (1) Find the electric flux density and electric field at each location. (2) Find the energy density stored in...

1.a)What is a dielectric and dielectric breakdown? b)What’s leakage current? c)Define dielectric constant and permittivity

A conducting sphere with a radius of R = 14.9 mm has a uniform and constant...

A conducting sphere with a radius of R = 14.9 mm has a uniform and constant surface charge density of a = 4.7 nC / m ?. What will be the magnitude of the electric field produced by that sphere at a distance from the center of the sphere of r = 34.3 cm?

There is a solid, spherical dielectric (radius = 3 m) with a total charge of 30...

There is a solid, spherical dielectric (radius = 3 m) with a total charge of 30 μC and with uniform charge density. What is the electric field strength and the electric potential at -the center? (answer is 0 N/C and 135,000 V just show the work) -a distance 2 m from the center? (answer is 20,000 N/C and 115,000 V just show the work)

A dielectric slab of thickness b and dielectric constant k is placed between the plates of...

A dielectric slab of thickness b and dielectric constant k is placed between the plates of a parallel plate capacitor of plate area A and separation d. A potential difference ?o is applied with no dielectric present. The battery is then disconnected and the dielectric lab is inserted. Assume that ?=100cm2,?= 1.0cm,?=0.50c,?=7.0 and Vo=100 ?. a. The capacitance ?o before the slab is inserted. b. The capacitance C with the slab inserted. c. The free charge q. d. The electric...

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 =...

1-how each dielectric material has its own unique specific dielectric constant. The textbook and other resources...

1-how each dielectric material has its own unique specific dielectric constant. The textbook and other resources refer to the constant as "k" but wouldn't each material having its own constant ruin the purpose of a "constant" being the same value for every dielectric material? 2-What the dielectric does exactly? 3-why we only consider one of two similar junctions in a circuit. Why do we not consider the other junction if they are equivalent equations?

#1 A solid, homogeneous sphere with a mass of m0, a radius of r0 and a...

#1 A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of ρ0 is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the...

A metal sphere with a radius of 10 cm is charged with 3 ⋅ (10)^(-8)C. It...

A metal sphere with a radius of 10 cm is charged with 3 ⋅ (10)^(-8)C. It is then connected by wire to another metal sphere with a radius of 5 cm. a) Calculate the potential of the first sphere and the potential energy before connecting to the second sphere b) Calculate the charges and potentials of both spheres after connection. The distance between the spheres is so great that the electrical effect between them is insignificant c) Calculate the potential...

A sphere with radius a has uniform charge/volume. A metal sphere shell has inner radius b(from...

A sphere with radius a has uniform charge/volume. A metal sphere shell has inner radius b(from center) and outer radius c(from center). Between a and b is empty. Outer metal shell has total charge Q1 Please start with Gauss's law and show steps Find Electric field in region a) r<a b)a<r<b c)b<r<c d) r>c

Question