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Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. (Figure 1)
Part A: What is the magnitude of the electric field along the positive z axis? (use k in your answer, where k = 1/(4πε₀)) E(z) = ____________ Part B: Imagine a small metal ball of mass m and negative charge -q_0. The ball is ...

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Anonymous 5 months 1 Answer 10 views

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Determine the equation for the electric field at the origin caused by a surface distribution with density Ps=cos(theta) located on the surface of a sphere at radius=2m. It would be wise for you to consider the symmetry of the problem, such that only the z-component is non-zero. the x and y components should cancel out (convince yourself of this)
Determine the equation for the electric field at the origin caused by a surface distribution with density Ps=cos(theta) located on the surface of a sphere at radius=2m. It would be wise for you to consider the symmetry of the problem, ...

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Determine the equation for the electric field at the origin caused by a surface distribution with density Ps=cos(theta) located on the surface of a sphere at radius=2m. It would be wise for you to consider the symmetry of the problem, such that only the z-component is non-zero. the x and y components should cancel out (convince yourself of this)
Determine the equation for the electric field at the origin caused by a surface distribution with density Ps=cos(theta) located on the surface of a sphere at radius=2m. It would be wise for you to consider the symmetry of the problem, ...

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Derive an expression for the confinement factor Γ of single-mode fibers defined as the fraction of the total mode power contained inside the core. Use the Gaussian approximation for the fundamental fiber mode. Estimate Γ for V = 2.

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7 months 1 Answer 5 views Beginner

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According to Yukawa’s theory of nuclear forces, the attractive force between a neutron and a proton has the potential V (r) = −Ke^(−αr)/r, K, α > 0 (a) Find the force, and compare it with an inverse square law of force. (b) Discuss the types of motion which can occur if a particle of mass m moves under such a force. (c) Discuss how the motions will be expected to differ from the corresponding types of motion for an inverse square law of force. (d) Find L and E for motion in a circle of radius a. (e) Find the period of circular motion and the period of small radial oscillations. (f) Show that the nearly circular orbits are almost closed when a is very small
According to Yukawa’s theory of nuclear forces, the attractive force between a neutron and a proton has the potential V (r) = −Ke^(−αr)/r, K, α > 0 (a) Find the force, and compare it with an inverse square law of force.

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7 months 1 Answer 12 views Beginner

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A particle of charge q in a cylindrical magnetron moves in a uniform magnetic field B = Bzˆ and an electric field, directed radially outward or inward from a central wire along the z-axis, E = a ρ ρˆ. The constants a and B may be either positive or negative. (a) Set up the equations of motion in cylindrical coordinates. (b) Show that the quantity mρ2φ˙ + qBp^2/2 = K is a constant of the motion. (c) Using this result, give a qualitative discussion, based on the energy integral, of the types of motion that can occur. Consider all cases, including all values of a, B, K, and E. (d) Under what conditions can circular motion about the axis occur? (e) What is the frequency of small radial oscillations about this circular motion
A particle of charge q in a cylindrical magnetron moves in a uniform magnetic field B = Bzˆ and an electric field, directed radially outward or inward from a central wire along the z-axis, E = a ρ ρˆ. The ...

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Una distribución esférica de carga ρ=ρ0[1-(R2b2)] existe en la región 0≤R≤b. Esta distribución de carga está rodeada concéntricamente por una capa conductora de radio interior Ri(>b) y
Una distribución esférica de carga ρ=ρ0[1-(R2b2)] existe en la región 0≤R≤b. Esta distribución de carga está rodeada concéntricamente por una capa conductora de radio interior Ri(>b) y radio exterior R0. Determine E en todos los puntos.

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