Three polarizing plates whose planes are parallel are centered on a common axis.

Question

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below.

A linearly polarized beam of light with the plane of polarization parallel to the vertical reference direction is incident from the left on the first disk with intensity Ii = 11.1 units (arbitrary). Calculate the transmitted intensity, If, when ?1 = 19.1o. Do not enter units.

Calculate the transmitted intensity, If, when ?2 = 40.6o. Do not enter units.

Calculate the transmitted intensity, If, when ?3 = 59.8o. Do not enter units.

Explanation / Answer

here,

initial intensity of light , Ii = 11.1 units

theta1 = 19.1 degree

the transmitted intensity from first polarizer , I1 = Ii * ( cos(theta1))^2

I1 = 11.1 * ( cos(19.1))^2

I1 = 9.91 units

theta2 = 40.6 degree

the transmitted intensity from seccond polarizer , I2 = I1 * ( cos(theta2 - theta1))^2

I2 = 9.91 * ( cos(40.6 - 19.1))^2

I2 = 8.58 units

theta3 = 59.8 degree

the transmitted intensity from third polarizer , I3 = I2 * ( cos(theta3 - theta2))^2

I3 = 8.58 * ( cos(59.8 - 40.6))^2

I3 = 7.65 units

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.