Infinite Sheet

Q.

A non-conducting square sheet of side 10 m is charged with a uniform surface charge density, $\sigma =-60\frac{\mu C}{m^2}$ . Find the magnitude and orientation of electric field vector due to the sheet at a point which is d = 0.02 mm away from the midpoint of the sheet.

1. $3.39\times {10}^6\frac{N}{C}$, away from the sheet

2. $6.78\times {10}^6\frac{N}{C}$, towards the sheet

3. $3.39\times {10}^6\frac{N}{C}$, towards the sheet

4. $6.78\times {10}^6\frac{N}{C}$, away from the sheet

Q. Which of the following graph shows curve between electric field $\left(E\right)$ versus distance $\left(r\right)$ from infinite line charge having constant positive charge density.

1. 
2. 
3. 
4. 

Q. An electric fan has blades of length 30cm measured from the axis of rotation. If the fan is rotating at 120rpm, the acceleration of a point on the tip of the blade is.?

Q. In a region of space, the electric field is given by $\overrightarrow{E}=8\hat{i}+4\hat{j}+3\hat{k}$. The electric flux through a surface of area of $100\text{units}$ in $x-y$ plane is

1. $400\text{units}$
2. $1500\text{units}$
3. $300\text{units}$
4. $800\text{units}$

Q. A charge $q$ is placed at the centre of the open end of a cylindrical vessel as shown in the figure. The flux of the electric field through the surface of the vessel is

1. $\frac{2q}{{\in }_0}$
2. $\frac{q}{2{\in }_0}$
3. Zero
4. $\frac{q}{{\in }_0}$