Asked in ETEA MDCAT 2012 2012

Three equivalent resistors connected in parallel have equivalent resistance R/3. When they are connected in series then the equivalent resistance is:

Correct answer: A. 3R

  • A. 3R
  • B. R/3
  • C. R
  • D. 2R

Explanation

When three equivalent resistors are connected in parallel, the equivalent resistance is 3/R. When these same resistors are connected in series, their resistances add up, resulting in an equivalent resistance of 3R. Therefore, the correct option is 3R. Options B, C, and D are incorrect because they do not align with the calculations for equivalent resistance in parallel and series resistor connections.

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About Resistance and Resistivity

Resistance measures opposition to current in a conductor and follows R = V/I for an ohmic conductor, while resistivity is an intrinsic property of the material. Questions use R = ρL/A, examine effects of length, cross-sectional area and temperature, and distinguish resistance, resistivity, conductance and conductivity.

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