Surface Integral
Trending Questions
Q. Charge Q is placed inside cone as shown in figure such that θ=60∘. Flux of electric field associated with curved surface of cone is.
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/396253/original_20_1.png)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/396253/original_20_1.png)
- Q4ε0
- Q2ε0
- 3 Q4 ε0
- Q3ε0
Q. A point charge q1 is placed inside cavity 1 and another point charge q2 is inside cavity 2. If a point charge q is placed outside the conductor then the charge on outer surface of the conductor would be
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1150976/original_output-onlinepngtools_%289%29.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1150976/original_output-onlinepngtools_%289%29.png)
- Q+q1+q2 and would be distributed uniformly.
- Q+q1+q2 and it is non-uniformly distributed.
- Q+q1+q2 and the distribution depends upon the locations of q1 , q2 and q.
- Q+q1+q2 and its uniform or non-uniform distribution depending upon locations of q1 and q2.
Q. A charge Q is placed symetrically at the centre of a closed cylinder as shown in the figure. The flux associated with the curved surface of the cylinder is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1116168/original_dia_10.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1116168/original_dia_10.png)
2Qε0cosα
Q2ε0cosα
Qε0cosα
- Qε0sinα
Q. A long string with a charge of λ per unit length passes through an imaginary cube of edge l. The maximum possible flux of the electric field through the cube will be
- λ lϵ0
- √2 λ lϵ0
- 6 λ l2ϵ0
- √3 λ lϵ0
Q. A positive charge q is placed in front of a conducting solid cube of side a at distance d from its center. Find the electric field at the center of the cube due to the charges appearing on its surface.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1120256/original_3.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1120256/original_3.png)
- Zero
- 2Kqd2
- Kq4d2
- Kqd2
Q. A charge Q is distributed uniformly on a ring of radius r. A sphere of equal radius r is constructed with it's centre at the periphery of the ring. Find the flux of the electric field through the surface of the sphere.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1116176/original_2.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1116176/original_2.png)
- Qϵ0
- Q3ϵ0
- Q2ϵ0
- Q4ϵ0