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21. A prism with index of refraction np can be used as a mirror if its index of

ID: 1402913 • Letter: 2

Question

21. A prism with index of refraction np can be used as a mirror if its index of refraction is sufficiently high so that light that enters as shown totally internally reflects at points P and Q. What is the minimum index of refraction so that the light undergoes total internal reflections at points P and Q? a. 1.25 b. 1.36 c. 1.41 d. 1.47 e. 1.52 . 22. A very long wire carrying current I is a distance d below a loop (dimensions a by b) of wire carrying current I^?. The loop arid the wire are in the plane of the paper. Calculate (show your work!) the magnetic flux through the loop due to the long straight wire. Your answer should be in terms of I, a, b, and d, and needed constants.

Explanation / Answer

22.

the total magnetic flux through the loop can be obtained by summing over contributions from all differential area elements

dA = b*dr

then

flux = intg( d flux )

flux = intg( B * dA)

flux = u0 * I * b / 2*pie * intgration from (a+d) to d ( dr/r)

flux = u0 * I * b / 2 *pie * ( ln(a + d / d))

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