What is the individual capacitance C (in μF) if the equivalent capacitance between P and Q in the shown nine-capacitor network is 30 μF? [See Image.]
Physics · Mixed Chapter
JEE Main Practice

Question

What is the individual capacitance C (in μF) if the equivalent capacitance between P and Q in the shown nine-capacitor network is 30 μF? [See Image.]

G1 Physics · Accepted Answer

Step 1 — In the drawn network, the left pair has equivalent 2C, the central three have 3C, and the right pair has 2C. Step 2 — These groups are in series with one C at each external end, so 1/Cₑq = 1/C + 1/(2C) + 1/(3C) + 1/(2C) + 1/C = 10/(3C). Step 3 — Therefore Cₑq = 3C/10. The stated 30 μF gives C = 100 μF. QUALITY FLAG — PDF printed key is 9, which conflicts with calculation from its drawn diagram. Do not use printed 9 as a verified answer without resolving the source error.