Step 1: Understanding series circuit.
In a series circuit, the current that flows through all the resistors is the same because the current has only one path to follow. The total current flowing through the circuit is the same at every point in a series configuration.
Step 2: Explanation of each option.
- (A) same: Correct. In a series circuit, the current through each resistor is the same.
- (B) different: Incorrect. The current is the same throughout the series circuit.
- (C) zero: Incorrect. The current is not zero unless the circuit is open.
- (D) divided proportionally to the value of resistance: Incorrect. This statement is true for parallel circuits, not series circuits.
Step 3: Conclusion.
The current flowing through each resistor in a series circuit is the same.