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NEETPhysicsCurrent Electricity

A uniform wire of resistance 50 is cut into 5 equal parts. These parts are then connected in parallel. What is the effective resistance of this parallel combination?

Options

  1. A10
  2. B2
  3. C50
  4. D250

Correct answer

B. 2

Step-by-step solution

The resistance of a wire is directly proportional to its length ( R l ). When the wire of resistance 50 is cut into 5 equal parts, the resistance of each part becomes: R' = 50 5 = 10 When these 5 identical parts are connected in parallel, the equivalent resistance R_ eq is given by: R_ eq = R' 5 = 10 5 = 2 Answer: 2

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