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TS EAMCET · Physics · Current Electricity

A uniform conductor of resistance \(R\) is cut into 20 equal pieces. Half of them are joined in series and the remaining half of them are connected in parallel. If the two combinations are joined in series, the effective resistance of all the pieces is

  1. A \(R\)
  2. B \(\frac{R}{2}\)
  3. C \(\frac{101 R}{200}\)
  4. D \(\frac{201 R}{200}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{101 R}{200}\)

Step-by-step Solution

Detailed explanation

Resistance of each piece \(=\frac{R}{20} \Omega\) Equivalent resistance of 10 such pieces connected in series \[ R_1=10 \times \frac{R}{20}=\frac{R}{2} \] Similarly, equivalent resistance of 10 such pieces connected in parallel…