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(B) The electric field $E$ is related to potential $V$ by $E = -dV/dx$. In the region between plates where there is air (vacuum),$E$ is constant and n

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(B) The electric field $E$ is related to potential $V$ by $E = -dV/dx$. In the region between plates where there is air (vacuum),$E$ is constant and non-zero,so $V$ decreases linearly with $x$. Inside the conductor (from $x=d$ to $x=2d$),the electric field $E=0$,so the potential $V$ remains constant. Inside the dielectric (from $x=3d$ to $x=4d$),the electric field $E$ is reduced but non-zero $(E_{dielectric} = E_0/K)$,so the potential $V$ decreases linearly with $x$,but with a smaller slope compared to the air regions. Thus,the potential graph shows a linear decrease in air,a horizontal line in the conductor,and a linear decrease with a shallower slope in the dielectric. Graph $B$ correctly represents this behavior.

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