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A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be :

Options

  1. AR 25
  2. BR 5
  3. C25 R
  4. D5 R

Correct answer

A. R 25

Step-by-step solution

Resistance of each part will be equally divided. So, the resistance of each part of the wire can be expressed as R 5 . The formula to calculate the equivalent resistance of the combination of resistors is given by 1 R e q = ∑ i = 1 5 1 R i . . . 1 From equation (1), it follows that 1 R e q = 5 R + 5 R + 5 R + 5 R + 5 R = 25 R ⇒ R e q = R 25

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