Figure 24-47 shows a thin plastic rod of length L = 13.5 cm and uniform charge 43.6 fC. (a) In terms of distance d , find an expression for the electric potential at point P 1 . (b) Next, substitute variable x for d and find an expression for the magnitude of the component E x of the electric field at P 1 . (c) What is the direction of E x relative to the positive direction of the x axis? (d) What is the value of E x P 1 for x = d = 6.20 cm? (e) From the symmetry in Fig. 24-47, determine E y at P 1 .
Figure 24-47 shows a thin plastic rod of length L = 13.5 cm and uniform charge 43.6 fC. (a) In terms of distance d , find an expression for the electric potential at point P 1 . (b) Next, substitute variable x for d and find an expression for the magnitude of the component E x of the electric field at P 1 . (c) What is the direction of E x relative to the positive direction of the x axis? (d) What is the value of E x P 1 for x = d = 6.20 cm? (e) From the symmetry in Fig. 24-47, determine E y at P 1 .
Figure 24-47 shows a thin plastic rod of length L = 13.5 cm and uniform charge 43.6 fC. (a) In terms of distance d, find an expression for the electric potential at point P1. (b) Next, substitute variable x for d and find an expression for the magnitude of the component Ex of the electric field at P1. (c) What is the direction of Ex relative to the positive direction of the x axis? (d) What is the value of ExP1 for x = d = 6.20 cm? (e) From the symmetry in Fig. 24-47, determine Ey at P1.
Fresnel lens: You would like to design a 25 mm diameter blazed Fresnel zone plate with a first-order power of
+1.5 diopters. What is the lithography requirement (resolution required) for making this lens that is designed
for 550 nm? Express your answer in units of μm to one decimal point.
Fresnel lens: What would the power of the first diffracted order of this lens be at wavelength of 400 nm?
Express your answer in diopters to one decimal point.
Eye: A person with myopic eyes has a far point of 15 cm. What power contact lenses does she need to correct
her version to a standard far point at infinity? Give your answer in diopter to one decimal point.
Paraxial design of a field flattener. Imagine your optical system has Petzal curvature of the field with radius
p. In Module 1 of Course 1, a homework problem asked you to derive the paraxial focus shift along the axis
when a slab of glass was inserted in a converging cone of rays. Find or re-derive that result, then use it to
calculate the paraxial radius of curvature of a field flattener of refractive index n that will correct the observed
Petzval. Assume that the side of the flattener facing the image plane is plano. What is the required radius of
the plano-convex field flattener? (p written as rho )
3.37(a) Five free electrons exist in a three-dimensional infinite potential well with all three widths equal to \( a = 12 \, \text{Å} \). Determine the Fermi energy level at \( T = 0 \, \text{K} \). (b) Repeat part (a) for 13 electrons.
Book: Semiconductor Physics and Devices 4th ed, NeamanChapter-3Please expert answer only. don't give gpt-generated answers, & please clear the concept of quantum states for determining nx, ny, nz to determine E, as I don't have much idea about that topic.
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