Electromagnetic Theory MCQs Question and Answer in Engineering Physics

A. Circulation of $$\overrightarrow {\bf{E}} $$ is zero

B. $$\overrightarrow {\bf{E}} $$ can always be expressed as the gradient of a scalar field

C. The potential difference between any two arbitrary points in the region R is zero is zero

D. The work done in a closed path lying entirely in R

A. $${\mu _0}{J_0}\hat \phi $$

B. $$ - \frac{{{\mu _0}{J_0}d}}{2}\hat \phi $$

C. $$\frac{{{\mu _0}{J_0}{d^2}}}{3}\hat \phi $$

D. $$ - \frac{{{\mu _0}{J_0}{d^3}}}{4}\hat \phi $$

A. along $${\bf{\hat i}}$$ for Z > 0 and along $$ - {\bf{\hat i}}$$ for Z < 0

B. along $${\bf{\hat k}}$$ for Z > 0 and along $$ - {\bf{\hat k}}$$ for Z < 0

C. along $$ - {\bf{\hat i}}$$ for Z > 0 and along $${\bf{\hat i}}$$ for Z < 0

D. along $$ - {\bf{\hat k}}$$ for Z > 0 and along $${\bf{\hat k}}$$ for Z < 0

A. $${E_0}\left( {{\bf{\hat x}} + {\bf{\hat y}}} \right)\exp \left[ {i\left( {kz - \omega t} \right)} \right]$$

B. $${E_0}\left( {{\bf{\hat x}} + i{\bf{\hat y}}} \right)\exp \left[ {i\left( {kz - \omega t} \right)} \right]$$

C. $${E_0}\left( {{\bf{\hat x}} + i{\bf{\hat y}}} \right)\exp \left[ {i\left( {kz + \omega t} \right)} \right]$$

D. $${E_0}\left( {{\bf{\hat x}} + {\bf{\hat y}}} \right)\exp \left[ {i\left( {kz + \omega t} \right)} \right]$$

A. linearly polarized along Z-direction

B. linearly polarized at -45° to X-axis

C. circularly polarized

D. elliptically polarized with the major axis along X-axis

A. be an ellipse

B. be a cycloid

C. be a helix with constant pitch

D. not be confined to any plane

A. πr² αB₀ e^-αt

B. πr² B₀ e^-αt

C. -πr² αB₀ e^-αt

D. -πr² B₀ e^-αt

A. $$\nabla .\overrightarrow {\bf{E}} = \frac{\pi }{{{\varepsilon _0}}}$$

B. $$\nabla .\overrightarrow {\bf{B}} = 0$$

C. $$\nabla \times \overrightarrow {\bf{E}} = - \frac{{\partial \overrightarrow {\bf{B}} }}{{\partial t}}$$

D. $$\nabla \times \overrightarrow {\bf{B}} = \left( {1/{c^2}} \right)\frac{{\partial \overrightarrow {\bf{B}} }}{{\partial t}} + {\mu _0}{\bf{\hat j}}$$

A. zero everywhere

B. non-zero inside and zero outside the solenoid

C. non-zero inside as well as outside the solenoid

D. zero inside and non-zero outside the solenoid

A. $$\overrightarrow {\bf{r}} \times \left( {\overrightarrow {\bf{m}} \times \overrightarrow {\bf{B}} } \right)$$

B. $$\overrightarrow {\bf{r}} \times \overrightarrow \nabla \left( {\overrightarrow {\bf{m}} .\overrightarrow {\bf{B}} } \right)$$

C. $$\overrightarrow {\bf{m}} \times \overrightarrow {\bf{B}} $$

D. $$\overrightarrow {\bf{m}} \times \overrightarrow {\bf{B}} + \overrightarrow {\bf{r}} \times \overrightarrow \nabla \left( {\overrightarrow {\bf{m}} .\overrightarrow {\bf{B}} } \right)$$