Questions from Electronics


Q: Draw a circle in the xy plane. At a few representative

Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle, pointing in the clockwise direction. By comparing adjacent vectors, determine the sign of ∂vx /∂...

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Q: A thick spherical shell (inner radius a, outer radius b

A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a “frozen-in” polarization where k is a constant and r is the distance...

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Q: Suppose the field inside a large piece of dielectric is E0,

Suppose the field inside a large piece of dielectric is E0, so that the electric displacement is / (a) Now a small spherical cavity (Fig. 4.19a) is hollowed out of the material. Find the field at the...

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Q: For the bar electret of Prob. 4.11, make

For the bar electret of Prob. 4.11, make three careful sketches: one of P, one of E, and one of D. Assume L is about 2a. [Hint: E lines terminate on charges; D lines terminate on free charges.]

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Q: The space between the plates of a parallel-plate capacitor (

The space between the plates of a parallel-plate capacitor (Fig. 4.24) is filled with two slabs of linear dielectric material. Each slab has thickness a, so the total distance between t...

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Q: Suppose you have enough linear dielectric material, of dielectric constant εr

Suppose you have enough linear dielectric material, of dielectric constant εr, to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute th...

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Q: According to quantum mechanics, the electron cloud for a hydrogen atom

According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density / where q is the charge of the electron and a is the Bohr radius. Find the atomic polar...

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Q: A sphere of linear dielectric material has embedded in it a uniform

A sphere of linear dielectric material has embedded in it a uniform free charge density ρ. Find the potential at the center of the sphere (relative to infinity), if its radius is R and the...

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Q: A certain coaxial cable consists of a copper wire, radius a

A certain coaxial cable consists of a copper wire, radius a, surrounded by a concentric copper tube of inner radius c (Fig. 4.26). The space between is partially filled (from b out to c...

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Q: A very long cylinder of linear dielectric material is placed in an

A very long cylinder of linear dielectric material is placed in an otherwise uniform electric field E0. Find the resulting field within the cylinder. (The radius is a, the susceptibility χe, and the axi...

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