Electric Charges And Fields Ques 32

32. A square surface of side $L$ meter in the plane of the paper is placed in a uniform electric field $E$ (volt $/ m$ ) acting along the same plane at an angle $\theta$ with the horizontal side of the square as shown in Figure. The electric flux linked to the surface, in units of volt. $m$, is

[2010]

<img src=“https://cdn.mathpix.com/cropped/2024_02_27_f643d9ce406fbb702fc8g-184.jpg?height=523&width=547&top_left_y=297&top_left_x=320)

(a) $EL^{2}$

(b) $EL^{2} \cos \theta$

(c) $EL^{2} \sin \theta$

(d) zero

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Answer:

Correct Answer: 32.(d)

Solution:

  1. (d) Electric flux, $\phi=E A \cos \theta$, where $\theta$ $=$ angle between $E$ and normal to the surface.

Here $\theta=\frac{\pi}{2}$

$\Rightarrow \phi=0$