Two Polaroids P1 and P2 are placed 900 to each other. Find the transmitted intensity if a thirdPolaroid P3 is placed between P1 and P2 bisecting the angle between them
Question
Two Polaroids P1 and P2 are placed 900 to each other. Find the transmitted intensity if a thirdPolaroid P3 is placed between P1 and P2 bisecting the angle between them
Solution
To find the transmitted intensity when a third Polaroid P3 is placed between P1 and P2, bisecting the angle between them, we can follow these steps:
Step 1: Understand the setup In this scenario, we have two Polaroids, P1 and P2, placed 90 degrees (or perpendicular) to each other. We need to find the transmitted intensity when a third Polaroid, P3, is placed between P1 and P2, bisecting the angle between them.
Step 2: Determine the initial intensity Before considering the effect of P3, we need to determine the initial intensity of the light passing through P1 and P2. Let's assume the initial intensity is I0.
Step 3: Analyze the effect of P1 When light passes through P1, it only allows the transmission of light waves oscillating in a specific direction. As P1 is perpendicular to P2, it acts as a polarizer and only allows light waves oscillating in a specific direction to pass through. Let's say the intensity of light transmitted through P1 is I1.
Step 4: Analyze the effect of P2 After passing through P1, the light with intensity I1 reaches P2. Since P2 is also a polarizer, it further filters the light and only allows light waves oscillating in a specific direction to pass through. Let's say the intensity of light transmitted through P2 is I2.
Step 5: Determine the effect of P3 Now, we introduce the third Polaroid, P3, between P1 and P2, bisecting the angle between them. P3 will act as a polarizer as well, filtering the light that passes through it. The intensity of light transmitted through P3 will be denoted as I3.
Step 6: Calculate the transmitted intensity To find the transmitted intensity, we need to consider the effect of all three Polaroids. The transmitted intensity, denoted as Itotal, can be calculated by multiplying the intensities of light transmitted through each Polaroid:
Itotal = I1 * I2 * I3
Step 7: Substitute values and solve To obtain the specific value of the transmitted intensity, you will need to know the values of I1, I2, and I3. These values depend on the properties of the Polaroids used and the incident light. By substituting the known values into the equation, you can calculate the transmitted intensity.
Note: The actual calculation of the transmitted intensity requires specific values and properties of the Polaroids used.
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