Question

in free space at a point magnitude of electric field vector is 9.3 V/m. find magnitude of magnetic field vector at a point.

Answer 1

$$\begin{gathered} \mathrm{Magnitude}\mathrm{of}\mathrm{electric}\mathrm{field}\mathrm{in}\mathrm{free}\mathrm{space},{\mathrm{E}}_0=9.3\mathrm{V}/\mathrm{m} \\ \mathrm{Magnitude}\mathrm{of}\mathrm{magnetic}\mathrm{field}\mathrm{in}\mathrm{free}\mathrm{space},{\mathrm{B}}_0=? \\ \mathrm{Velocity}\mathrm{of}\mathrm{light},\mathrm{c}=3\times {10}^8\mathrm{m}/\mathrm{s} \\ \mathrm{Relation}\mathrm{for}\mathrm{c}: \\ \mathrm{c}=\frac{{\mathrm{E}}_0}{{\mathrm{B}}_0} \\ {\mathrm{B}}_0=\frac{{\mathrm{E}}_0}{\mathrm{c}} \\ =\frac{9.3}{3\times {10}^8} \\ =3.1\times {10}^{-8}\mathrm{T} \\ \mathrm{Ans}: \\ \mathrm{Magnitude}\mathrm{of}\mathrm{magnetic}\mathrm{field}\mathrm{in}\mathrm{free}\mathrm{space},{\mathrm{B}}_0=\mathbf{3}\mathbf{.}\mathbf{1}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{8}}\mathbf{}\mathbf{T} \end{gathered}$$