GATE Electronics and Communications (EC) 2011 Solved Paper

A current sheet $\overrightarrow{\mathit{J}}=10{\hat{\mathit{u}}}_{\mathit{y}}\mathit{A}∕\mathit{m}$ lies on the dielectric interface x = 0 between two dielectric media with ${\mathit{\epsilon }}_{\mathit{r}1}=5,{\mathit{\mu }}_{\mathit{r}1}=1$ in Region–1 (x < 0) and ${\mathit{\epsilon }}_{\mathit{r}2}=2,{\mathit{\mu }}_{\mathit{r}2}=2$ Region–2 (x > 0). If the magnetic field in Region-1 at x = 0 is ${\overrightarrow{\mathit{H}}}_1=3{\hat{\mathit{u}}}_{\mathit{x}}+30{\hat{\mathit{u}}}_{\mathit{y}}\mathit{A}∕\mathit{m}$ the magnetic field in Region-2 at x = 0⁺ is