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Two infinite, parallel, uniformly charged plates with charge densities $+\sigma$ and $-3 \sigma$ are separated by a distance $L$ (Fig. $\mathrm{P} 18.32$ ). If the ...

Question

Two infinite, parallel, uniformly charged plates with charge densities $+\sigma$ and $-3 \sigma$ are separated by a distance $L$ (Fig. $\mathrm{P} 18.32$ ). If the plate on the right is at $V=0,$ what is the potential of the plate on the left? Express your answer in terms of $\sigma$ and $L$.

Two infinite, parallel, uniformly charged plates with charge densities $+\sigma$ and $-3 \sigma$ are separated by a distance $L$ (Fig. $\mathrm{P} 18.32$ ). If the plate on the right is at $V=0,$ what is the potential of the plate on the left? Express your answer in terms of $\sigma$ and $L$.



Answers

Three square metal plates $A$, $B$, and $C$, each 12.0 cm on a side and 1.50 mm thick, are arranged as in $\textbf{Fig. P24.67}$. The plates are separated by sheets of paper 0.45 mm thick and with dielectric constant 4.2. The outer plates are connected together and connected to point $b$. The inner plate is connected to point $a$. (a) Copy the diagram and show by plus and minus signs the charge distribution on the plates when point $a$ is maintained at a positive potential relative to point $b$. (b) What is the capacitance between points $a$ and $b$?


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