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NEETPhysicsCapacitance

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Five identical capacitors, each of capacitance C , are connected to form a balanced Wheatstone bridge. If the central capacitor is replaced by a thick conducting wire, the equivalent capacitance of the network becomes 2C . Reason (R): In a balanced Wheatstone bridge, the two nodes connecting the ce

Options

  1. ABoth (A) and (R) are true and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are true but (R) is not the correct explanation of (A)
  3. C(A) is true but (R) is false
  4. D(A) is false but (R) is true

Correct answer

D. (A) is false but (R) is true

Step-by-step solution

Reason (R) is true: The defining condition of a balanced Wheatstone bridge is that the ratio of capacitances in the adjacent arms is equal, which results in the two nodes of the central branch being at the same potential. Assertion (A) is false: Because the two central nodes are at the same potential, replacing the central capacitor with a conducting wire (short circuit) will not cause any charge to flow between these nodes. The charge distribution remains completely undisturbed. Alternatively, if the central branc

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