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Physics · Internal resistance, potential difference and emf of a cell, a combination of cells in series and parallel

Two non-ideal batteries are connected in series. Consider the following statemen

Two non-ideal batteries are connected in series. Consider the following statements: (A) The equivalent emf is larger than either of the two emfs. (B) The equivalent internal resistance is smaller than either of the two internal resistances

  • A. Each of A and B is correct
  • B. A is correct but B is wrong
  • C. B is correct but A is wrong
  • D. Each of A and B is wrong

Step-by-step solution

When two non-ideal batteries are connected in series with aiding polarities, the equivalent emf is the sum of the individual emfs, so it is larger than either emf (statement A true). The equivalent internal resistance is the sum of the individual internal resistances, so it is larger than either internal resistance, not smaller (statement B false). Hence, only A is correct.
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