Introducing Flux

Q. A point charge q is placed at a distance l from the centre of a disc of radius R along its axis. The electric flux through the disc is

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Q.

A constant Electric field $\overrightarrow{E}=2\hat{i}$ exists in space. The electric flux through a square surface of side 2m with its surface tilted 60⁰ from the y axis is$4\frac{N{m}^2}{C}$.

1. False

2. True

Q.

A conic surface is placed in a uniform electric field $E$ as shown such that field is perpendicular to the surface on the side AB. The base of the cone is of radius $R$ and height of the cone is $h$. The angle of cone is $\theta$ as shown. Find the magnitude of that flux which enters the cone's curved surface on the left side. Don’t count the outgoing flux.

1. $ER(hcos\theta +\frac{\pi Rsin\theta }{2})$

2. $ER(hsin\theta +\frac{\pi Rcos\theta }{2})$

3. $ER(hsin\theta +\frac{\pi Rsin\theta }{2})$

4. $ER(hcos\theta +\frac{\pi Rsin\theta }{3})$

Q. A point charge $+q$ is placed on the axis of a closed cylinder of radius $R$ and height $25R/12$ as shown. If electric flux coming out from the curved surface of the cylinder is $xq/10{ϵ}_o$, then calculate $x$.

Q. A cube is arranged such that its length, breadth and height are along X, Y and Z directions. One of its corners is situated at the origin. Length of each side of the cube is 25 cm. The components of electric field are $E_x=400\sqrt{2}N/C,E_y=0and{E}_z=0$ respectively. Find the flux coming out of the cube at one end.

1. $25$
2. $\frac{25}{\sqrt{2}}$
3. $zero$
4. $25\sqrt{2}$

Q.

If $\overrightarrow{E}$ = 2i +3j +4k and $\overrightarrow{A}$ = 3i +2j +4k. What is the flux of the given $\overrightarrow{E}$ through the area?

1. 21 Nm²/C

2. 28 Nm²/C

3. 23 Nm²/C

4. 30 Nm²/C

Q.

Flux can only be defined for a planar surface.

1. True

2. False

Q.

Flux is a __ (Scalar/vector) quantity.

Q.

The S.I. unit of electric flux is

1. Newton per coulomb

2. Joule per coulomb

3. Weber

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