If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

The angle of rotation is

Step-by-step explanation:

Given information:

The maximum flux is half to the flux after the orientation, as

Find: orientation where only half the flux goes through it.

Electric Flux, number of electric field lines passing through the unit surface area.

The equation for the electric flux is,

,

Where is the magnitude of electric field, A is the areal vector and is the angle between the electric field direction and the areal vector.

The electric flux will be maximum when electric field direction is parallel to the surface area,

here, =, then,

,

,

After the orientation, the flux is,

,

From given information,

,

Hence, the angle of rotation is

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