Seven identical parallel conducting plates have successive spacing a and area S, with connections as in the figure. Effective capacitance between A and B is (2x ε₀S)/(11a). Find x.
Physics · Mixed Chapter
JEE Main Practice

Question

Seven identical parallel conducting plates have successive spacing a and area S, with connections as in the figure. Effective capacitance between A and B is (2x ε₀S)/(11a). Find x.

G1 Physics · Accepted Answer

Step 1: Each adjacent-plate gap has capacitance C₀ = ε₀S/a. Step 2: Label the conductors connected by the curved wires as single nodes, then combine the six gap capacitors using series/parallel reduction. Step 3: The diagram's equivalent network gives Cₑq = 6C₀/11. Comparing Cₑq = (2x/11)C₀ yields 2x = 6 and x = 3.