A liquid crystal cell has the front electrode grooved vertically and the rear electrode grooved horizontally. Sheets that transmit only vertically polarized light are placed before and after the liquid crystal cell. If a beam of 1 mW vertically polarized light is incident on the arrangement.

1) Find the total power transmitted if no voltage is applied to the cell.

2) Find the total power transmitted if voltage is applied to the cell.

3) A mirror is placed in front of the second polarizing sheet. Find the total power reflected back through the arrangement if no voltage is applied to the cell.

4) The mirror is removed and the 1 mW beam is rotated by 30^o from the vertical. Find the total power transmitted if no voltage is applied to the cell.

5) Find the total power transmitted if voltage is applied to the cell.