We know that in a series circuit the total voltage is equal to the voltage drop in each component; we also know that the voltage drop in each component is equal to:
![V=IR](https://img.qammunity.org/2023/formulas/physics/college/qyxkyhe6das1rxrn37kfxfu7hnf52d3137.png)
Furthermore, in a series circuit the current in each component is the same.
Let R be the resistance on each lamp, since the current is the same in each of them and they have the same resistance, we have:
![\begin{gathered} V_1+V_2+V_3=V_T \\ \text{ Since all the voltage drops are the same we have:} \\ 3V=6 \\ V=(6)/(3) \\ V=2 \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/i1hjbiu5t2yjzc6wci5pj0w5poywslwzv2.png)
Therefore, the voltage drop on each lamp is 2 V