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Q.

Three identical metal plates of area S are at equal distances b as shown. Initially metal plate A is uncharged, while metal plates B and C have respective charges +Q0 and – Q0 initially as shown. Metal plates A and C are connected by switch K through a resistor of resistance R. The key K is closed at time t = 0The total heat dissipated through resistor of resistance R is Q02bxSε0 , then x______

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answer is 4.

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Detailed Solution

In steady state charge on both capacitor is  Q02; Hence heat produced=Ui-Uf=Q022C+0−(Q02)22C×2=Q024Sε0b
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Three identical metal plates of area S are at equal distances b as shown. Initially metal plate A is uncharged, while metal plates B and C have respective charges +Q0 and – Q0 initially as shown. Metal plates A and C are connected by switch K through a resistor of resistance R. The key K is closed at time t = 0The total heat dissipated through resistor of resistance R is Q02bxSε0 , then x______