In a non-conducting medium characterized by ε = ε0, μ = μ0 and conductivity σ = 0, the electric field (in V/m) is given by $$\overrightarrow {\bf{E}} = 20\sin \left[ {{{10}^8}t - kz} \right]{\bf{\hat j}}.$$ The magnetic field $$\overrightarrow {\bf{H}} $$ (in A/m), is given by
A. $$20k\cos \left[ {{{10}^8}t - kz} \right]{\bf{\hat j}}$$
B. $$\frac{{20k}}{{{{10}^8}{\mu _0}}}\sin \left[ {{{10}^8}t - kz} \right]{\bf{\hat j}}$$
C. $$ - \frac{{20k}}{{{{10}^8}{\mu _0}}}\sin \left[ {{{10}^8}t - kz} \right]{\bf{\hat i}}$$
D. $$ - 20k\cos \left[ {{{10}^8}t - kz} \right]{\bf{\hat j}}$$
Answer: Option C
A. $$\frac{2}{{{\mu _0}}}\left( {x{\bf{\hat i}} + y{\bf{\hat j}}} \right)$$
B. $$ - \frac{2}{{{\mu _0}}}\left( {{\bf{\hat i}} + {\bf{\hat J}}} \right)$$
C. $$ - \frac{2}{{{\mu _0}}}\left( {{\bf{\hat i}} - {\bf{\hat j}}} \right)$$
D. $$\frac{2}{{{\mu _0}}}\left( {x{\bf{\hat i}} - y{\bf{\hat j}}} \right)$$
A. 0.033 μm
B. 0.330 μm
C. 3.300 μm
D. 33.000 μm
A. $${\bf{\hat z}}k$$
B. $${\bf{\hat x}}k\sin \alpha + {\bf{\hat y}}k\cos \alpha $$
C. $${\bf{\hat x}}k\cos \alpha + {\bf{\hat y}}k\cos \alpha $$
D. $$ - {\bf{\hat z}}k$$
A. vp = vg
B. vp = $${\text{v}}_{\text{g}}^{\frac{1}{2}}$$
C. vp vg = c2
D. vg = $${\text{v}}_{\text{p}}^{\frac{1}{2}}$$
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