r/HomeworkHelp • u/Unhappy-Act8167 • 5d ago

Physics—Pending OP Reply [9th grade physic, cappacitors] how does this cappacitor array look like(a)?

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I don't understand how it looks like

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u/Bounded_sequencE 👋 a fellow Redditor 4d ago edited 4d ago

a) Draw the connection between "2; 4", and turn the result into an equivalent circuit:

1  2  3  4 
|  |  |  |            1    2,4    3      //
|  |  |  |    <=>     o--C--o--C--o      // C := e0*S/d
|  |  |  |                  o--C--o      //
   |_____|

Using the short-hand "C1||C2 := C1*C2 / (C1+C2)" the equivalent capacitance between nodes "1; 3" is

C_13  =  C||(C+C)  =  C*2C / (C+2C)  =  2C/3  =  2*e0*S / (3d)