12.A beam of light is emitted 80 cm beneath the surface of a liquid and strikes

Question

12.A beam of light is emitted 80 cm beneath the surface of a liquid and strikes point (on the liquid surface) directly above the light source. If the beam of light does n minimum index of refraction of the liquid? 6% the surface cm from not exi the liaquid, what is the 13. Two long, straight wires carrying currents I, - S A (into the page) and l-12 A (out of page) are placed at tur comers of a right triangle, shown in the figure below. Find the magnitude of the net magnetic field at point P (th corner of the right triangle), 12 % at two Answer 16 cm

Explanation / Answer

13. given

two long straight conductors

I1 = 8 A ( into the page)

I2 = 12 A (out of the page)

hence

net magnetic field at the third point = B

B = B1 + B2

B = 2kI1(-0.16i + 0.12j)/(.12^2 + .16^2) - 2kI2/0.12 j ( where i and j are unit vectors along x and y directions)

B = k(-64i -152j)

k = 10^(-7)

hence

|B| = 164.924*10^-7 T

12. if the light does get totally internally reflected

i = angle of incidence

tan(i) = 69/80

i = 40.77776 deg

hence

sin(i)/1 = 1/n

refractive index = n

hence

n = 1.531096146

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