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GATE ECE 2011 | Question-37

A current sheet $\vec{J}=10 \hat{u}_y \; A / m$ lies on the dielectric interface $x=0$ between two dielectric media with $\varepsilon_{r 1}=5, \mu_{r 1}=1$ in Region-$1 \; (x<0)$ and $\varepsilon_{r 2}=2, \mu_{r 2}=2$ in Region-$2 \; (x>0)$. If the magnetic field in Region-$1$ at $x=0^{-}$is $\vec{H}_1=3 \hat{u}_x+30 \hat{u}_y \; A / m$, the magnetic field in Region-$2$ at $x=0^{+}$ is

  1. $\vec{H}_2=1.5 \hat{u}_x+30 \hat{u}_y-10 \hat{u}_z \; A / m$
  2. $\vec{H}_2=3 \hat{u}_x+30 \hat{u}_y-10 \hat{u}_z \; A / m$
  3. $\vec{H}_2=1.5 \hat{u}_x+40 \hat{u}_y \; A / m$
  4. $\vec{H}_2=3 \hat{u}_x+30 \hat{u}_y+10 \hat{u}_z \; A / m$
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