Electromagnetic Theory MCQs Question and Answer in Engineering Physics

A. the charge gets distributed uniformly through the volume of the sphere

B. the electrostatic potential has the same value for r < a

C. an equal and opposite charge gets induced in the bottom half of the sphere

D. the electric field is given by $$\frac{1}{{4\pi {\varepsilon _0}\,{r^2}}}$$  for r < a

A. $${\phi _0}$$

B. u

C. R

D. C

A. 2ε₀ E₀ cos θ

B. ε₀ E₀ cos θ

C. 3ε₀ E₀ cos θ

D. $$\frac{{{\varepsilon _0}}}{3}$$ E₀ cos θ

A. 0.3 μm

B. 0.6 μm

C. 3.0 μm

D. 6.0 μm

A. $$\frac{{2\sqrt 2 \,{\mu _0}\,l}}{{\pi a}}{{\hat e}_x}$$

B. $$\frac{{2\sqrt 2 \,{\mu _0}\,l}}{{\pi a}}{{\hat e}_z}$$

C. $$\frac{{2\sqrt 2 \,{\mu _0}\,l}}{{\pi {a^2}}}{{\hat e}_z}$$

D. $$\frac{{2\sqrt 2 \,{\mu _0}\,l}}{{\pi {a^2}}}{{\hat e}_x}$$

A. E = constant, B = constant

B. $$E \propto \frac{1}{r},\,B \propto \frac{1}{r}$$

C. $$E \propto \frac{1}{{{r^2}}},\,B \propto \frac{1}{{{r^2}}}$$

D. $$E \propto \frac{1}{{{r^3}}},\,B \propto \frac{1}{{{r^3}}}$$

A. 20000

B. 2000

C. 200

D. 20

A. $${\mu _r}{\mu _0}Nlr$$

B. $$\frac{{{\mu _r}{\mu _0}Nl}}{r}$$

C. $$\frac{{{\mu _r}{\mu _0}Nl}}{{2\pi r}}$$

D. $$2\pi {\mu _r}{\mu _0}Nlr$$

A. $$\frac{{{p^2}}}{{2m}} + q\phi + \frac{{{A^2}}}{{2m}}$$

B. $$\frac{1}{{2m}}{\left( {\overrightarrow {\bf{p}} - \frac{q}{c}\overrightarrow {\bf{A}} } \right)^2} + q\phi $$

C. $$\frac{1}{{2m}}{\left( {\overrightarrow {\bf{p}} + \frac{q}{c}\overrightarrow {\bf{A}} } \right)^2} + \overrightarrow {\bf{p}} .\overrightarrow {\bf{A}} $$

D. $$\frac{{{p^2}}}{{2m}}q\phi - \overrightarrow {\bf{p}} .\overrightarrow {\bf{A}} $$

A. zero

B. $$\frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{{m^2}}}{{{d^3}}}$$

C. $$\frac{{3{\mu _0}}}{{2\pi }} \cdot \frac{{{m^2}}}{{{d^3}}}$$

D. $$ - \frac{{3{\mu _0}}}{{8\pi }} \cdot \frac{{{m^2}}}{{{d^3}}}$$