Two resistors are said to be connected in series when

Same current passes in turn through both
Both carry the same value of current
Total current equals the sum of branch currents
Sum of IR drops equals the applied e.m.f.

The correct answer is: B. Both carry the same value of current.

When two resistors are connected in series, the current through each resistor is the same. This is because the current is the only way for charge to flow through the circuit, and there is only one path for the current to take.

The other options are incorrect because:

  • Option A is not always true. If the resistors have different resistances, the current through each resistor will be different.
  • Option C is not always true. If the resistors have different resistances, the total current will not equal the sum of the branch currents.
  • Option D is not always true. If the resistors have different resistances, the sum of the IR drops will not equal the applied e.m.f.