What is the flux of electric field \(\vec E = 3\times 10^3 \hat i~ \text{N/C}\) through a square of \(10\) cm on a side whose plane is parallel to the \(yz\text-\)plane?

1.	\(15~\text{Nm}^{2}/\text{C}\)	2.	\(10~\text{Nm}^{2}/\text{C}\)
3.	\(30~\text{Nm}^{2}/\text{C}\)	4.	\(0\)

The electric field at the surface of a black box indicates that the net outward flux through the surface of the box is \(8.0\times10^{3}~\text {Nm}^{2}/\text C.\) What is the net charge inside the box?
1. \(1.01~\mu \text C\) 
2. \(0.01~\mu \text C\) 
3. \(0.03~\mu \text C\) 
4. \(0.07~\mu \text C\)

A point charge \(+ 10 μ\text C\) is at a distance \(5~\text{cm}\) directly above the centre of a square of side \(10~\text{cm},\) as shown in the figure. What is the magnitude of the electric flux through the square?

       
1. \(3.18\times10^5~\text{Nm}^2\text C^{-1}\)
2. \(2.10\times10^5~\text{Nm}^2\text C^{-1}\)
3. \(1.03\times10^5~\text{Nm}^2\text C^{-1}\)
4. \(1.88\times10^5~\text{Nm}^2\text C^{-1}\)

A point charge of 2.0 μC is at the center of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?

1. 2.26 × 10⁵  N  m² C^-1
2. 2.09 × 10⁵  N  m² C^-1
3. 4.33 × 10⁵  N  m² C^-1
4. 4.71 × 10⁵  N  m² C^-1   

A point charge causes an electric flux of \(-1.0\times 10^{3}~\text{Nm}^2/\text{C}\) to pass through a spherical Gaussian surface of \(10.0~\text{cm}\) radius centered on the charge. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
1. \(- 2.0×10^{3}~\text{Nm}^2/\text{C}\)
2. \(- 1.0 ×10^{3}~\text{Nm}^2/\text{C}\)
3. \(2.0 ×10^{3}~\text{Nm}^2/\text{C}\)
4. Zero

A conducting sphere of radius \(10\) cm has an unknown charge. If the electric field, \(20\) cm from the centre of the sphere is \(1.5\times10^3\) N/C and points radially inward, what is the net charge on the sphere?

A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of $80.0 \mu C/m^2$. The charge on the sphere is:

1. 2 .077 × 10^-3 C
2. 2. 453 × 10^-3C
3. 1. 447 × 10^-3C
4. 3. 461 × 10^-3C

 

An infinite line charge produces a field of \(9\times10^{4}~\text{N/C}\) at a distance of \(2~\text{cm}\). The linear charge density is:
1. \(0.1~\mu\text{C/m}\)
2. \(100~\mu\text{C/m}\)
3. \(1.0~\mu\text{C/m}\)
4. \(10~\mu\text{C/m}\)

Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.0 x 10^-22 C/m². The electric field between the plates is: 

1. 0.96 × 10^-10   N/C
2. 1.92 × 10^{- 10}   N/C
3. 0
4. 3.84 × 10^-10   N/C

An oil drop of 12 excess electrons is held stationary under a constant electric field of $2.55\times {10}^{-4} N C^{-1}$. The density of the oil is $1.26 g c{m}^{-3}$. The radius of the drop is:

1. \(9.82\times10^{-4}\) mm
2. \(9.82\times10^{-7}\) mm
3. \(8.92\times10^{-4}\) mm
4. \(8.92\times10^{-7}\) mm