An unpolarized light of average intensity $I$ is passed through a polarizer. Find the amplitude of electric field of light coming out. (Symbols have their usual meaning)

When unpolarised light is passed through crossed polaroids, then light passing through the first polaroid:

Two polaroids are placed in the path of an unpolarised beam of intensity $I_0$ such that no light is emitted from the second polaroid. If a third polaroid,whose polarisation axis makes an angle $\theta$ with the polarisation axis of the first polaroid,is placed between these polaroids,then the intensity of light emerging from the last polaroid will be:

When unpolarized light of intensity $I_0$ is incident on a polarizer,what will be the intensity of the light that does not pass through it?

In the case of linearly polarized light,the magnitude of the electric field vector:

The graph showing the dependence of intensity of transmitted light on the angle between polariser and analyser is ($I_0$ is intensity of plane polarised light)