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← JEE Main 2022 · 25 Jun · Shift 1
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JEE Main 2022 · 25 Jun · Shift 1, Physics question 56

The equivalent capacitance between points A and B in below shown figure will be ______ μ\muF.

Six 8 μF capacitors in a row from A to B. A wire above the first two joins A to the node after the second capacitor; a wire below joins the node between the first and second capacitors to the node after the third; a wire above joins the node after the third capacitor to the node after the fifth; the sixth capacitor leads to B.
Answer and worked solution

Official answer: 6

Name the nodes 0 (A) to 6 (B) along the row. The wires join 0 with 2, 1 with 3, and 3 with 5.

Simplify. The first three capacitors (0-1, 1-2, 2-3) all join A to the node {1, 3, 5}: 24 μF in parallel. The fourth and fifth (3-4, 4-5) both join that node to node 4, which has no other connection, so they carry no charge.

Series with the last. 24×824+8=6\dfrac{24\times8}{24+8}=6 μF.

Answer: 6

Topics:Series and parallel combinations
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