giving . When a resistor is combined in series with a resistor, the equivalent resistance is .

The current driven by the battery is

This is the current flowing through the resistor, since one end of this resistor is connected directly to the battery, with no intermediate junction points.

The voltage drop across the resistor is

Thus, the voltage drop across the and combination is . The current flowing through the resistor is given by

Likewise, the current flowing through the resistor is

Note that the total current flowing through the and combination is , which is the same as the current flowing through the resistor. This makes sense because the and combination is connected in series with the resistor.