The long straight wire, shown below, carries a current that increases at a stead

Question

The long straight wire, shown below, carries a current that increases at a steady rate from 0.00 A to 15.0 A in 4.16 ms. The diagrammed rectangular loop is 1.50 m from the current-carrying wire. The width of the loop is 2.00 mm and the length of the loop is 2.00 m. Assume that the loop is sufficiently narrow, compared to the distance from the straight wire, that the instantaneous magnetic field is approximately the same at all points within the loop. Also assume that the rectangle is made of ideal conductor, except for the resistive portion shown in the diagram. (a) What is the difference in potential across the resistor? (b) In what direction does current flow through the resistor? Please circle the appropriate choice. In the resistor, current flows... toward the top of this page. toward the bottom of this page. A beam of light is traveling in air and strikes a material. The angles of incidence and refraction are 63.0 degree and 47.0 degree, respectively. Please obtain the speed of light in the material.

Explanation / Answer

2) v = speed of light in the medium
i = angle of incidence
R = angle of refraction
c = speed of light in a vacuum

i = 63.0 degrees
R = 47.0 degrees
c = 1,079,252,848.8 km/h = 299,792.458 km/s
c ~= 300,000 km/s (approximately)
c = 670,616,629.4 miles per hour = 983,571,056.4 feet per second

Snell's Law: (sin i) / (sin R) = n

n = constant ratio of the speeds of light in two media.

n = c/v
nv = c
v = c/n
v = c/((sin i) / (sin R))
v = (c sin R) / (sin i)

v = 299,792.485 km/s x sin 47 degrees / sin 63 degrees
v = 246,074 km/s

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