COMEDK · Physics · 19. Current Electricity
A wire of uniform cross-section has a resistance \(R\). It is cut into ten equal parts. The parts are connected in parallel between two points \(A\) and \(B\). The effective resistance between \(A\) and \(B\) will be
- A \(0.01 R\)
- B \(0.1 R\)
- C \(R\)
- D \(10 \mathrm{R}\)
Answer & Solution
Correct Answer
(A) \(0.01 R\)
Step-by-step Solution
Detailed explanation
When a wire of resistance \(R\) is cut into 10 equal parts, then resistance of each part, \[ R^{\prime}=\frac{R}{10}=0.1 R \] Equivalent resistance of parallel combination of resistors, is \[ R_{\mathrm{eq}}=\frac{R^{\prime}}{10}=\frac{0.1 R}{10}=0.01 R \]
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