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KCET · Physics · Current Electricity

Consider the following statements regarding the network shown in the figure.

(1) The equivalent resistance of the network between points \(A\) and \(B\) is independent of value of \(G\).
(2) The equivalent resistance of the network between points \(A\) and \(B\) is \(\frac{4}{3} R\)
(3) The current through \(G\) is zero.
Which of the above statements is/are true?

  1. A (1) alone
  2. B (2) alone
  3. C (2) and (3)
  4. D (1), (2) and (3)
Verified Solution

Answer & Solution

Correct Answer

(D) (1), (2) and (3)

Step-by-step Solution

Detailed explanation

\(R_{\text {eff }}=\frac{(P+Q)(R+S)}{(P+Q+R+S)}\)
\(R_{\text {cff }}=\frac{4}{3} R\)