A very long conducting tube (hollow cylinder) has inner radius a and outer radius b . It carries charge per unit length + α , where α is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length + α . (a) Calculate the electric field in terms of α and the distance r from the axis of the tube for (i) r < a ; (ii) a < r < b ; (iii) r > b . Show your results in a graph of E as a function of r . (b) What is the charge per unit length on (i) the inner surface of the tube and (ii) the outer surface of the tube?
A very long conducting tube (hollow cylinder) has inner radius a and outer radius b . It carries charge per unit length + α , where α is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length + α . (a) Calculate the electric field in terms of α and the distance r from the axis of the tube for (i) r < a ; (ii) a < r < b ; (iii) r > b . Show your results in a graph of E as a function of r . (b) What is the charge per unit length on (i) the inner surface of the tube and (ii) the outer surface of the tube?
A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length +α, where α is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length +α. (a) Calculate the electric field in terms of α and the distance r from the axis of the tube for (i) r < a; (ii) a < r < b; (iii) r > b. Show your results in a graph of E as a function of r. (b) What is the charge per unit length on (i) the inner surface of the tube and (ii) the outer surface of the tube?
Imagine you are out for a stroll on a sunny day when you encounter a lake. Unpolarized light from the sun is reflected off the lake into your eyes. However, you notice when you put on your vertically polarized sunglasses, the light reflected off the lake no longer reaches your eyes. What is the angle between the unpolarized light and the surface of the water, in degrees, measured from the horizontal? You may assume the index of refraction of air is nair=1 and the index of refraction of water is nwater=1.33 . Round your answer to three significant figures. Just enter the number, nothing else.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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