# Which of the following Maxwells equations implies the absence of magnetic monopoles?

1. $\bigtriangledown&space;.&space;\vec{E}&space;=&space;\frac{\pi&space;}{\epsilon_{0}&space;}$
2. $\bigtriangledown&space;.&space;\vec{B}&space;=&space;0$
3. $\bigtriangledown&space;\times&space;\vec{B}&space;=&space;-&space;\frac{\partial&space;\vec{B}}{\partial&space;t}$
4. $\bigtriangledown&space;\times&space;\vec{B}&space;=&space;\frac{1}{c^{2}}\frac{\partial&space;\vec{B}}{\partial&space;t}&space;+&space;\mu_{0}\hat{j}$

1. E
2. B
3. E . B
4. E × B

# A charge q is located at the center of a cube of edge length L. The sum of the electric flux through any two faces is

1. $\frac{q}{\epsilon&space;_{0}}$
2. $\frac{4\pi&space;q}{\epsilon&space;_{0}}$
3. $\mathbf{\frac{q}{3\epsilon&space;_{0}}}$
4. $\frac{q}{6\epsilon&space;_{0}}$

# A charge q is placed at the center of a cube of side a. The electric flux through any one face of the cube is

1. $\frac{q}{\epsilon&space;_{0}}$
2. $\frac{q}{3\epsilon&space;_{0}}$
3. $\mathbf{\frac{q}{6\epsilon&space;_{0}}}$
4. $\frac{6q}{\epsilon&space;_{0}}$

# By definition, the electric displacement current through a surface S is proportional to the

1. Magnetic flux through S
2. Rate of change of the magnetic flux through S
3. Time integral of the magnetic flux through S
4. The electric flux through S
5. Rate of change of the electric flux through S