The voltage of the battery is 9 V.
If two cells are connected in series, their voltages add up. Let's denote the voltage of one cell as V.
For the cells connected in series, the total voltage (
) is the sum of the voltages of the individual cells:
![\[ V_{\text{series}} = V + V \]](https://img.qammunity.org/2022/formulas/physics/high-school/mc3zmh18r1pnu1ypkgxxd69jur63jxf6d6.png)
Since there are two cells connected in series, the total voltage for the series connection is 2V.
Now, there is another cell on the other side. If it is not connected in series with the first two cells, its voltage remains V.
The total voltage (
) of the battery, considering all three cells, is the sum of the voltages:
![\[ V_{\text{battery}} = 2V + V \]](https://img.qammunity.org/2022/formulas/physics/high-school/d15uq17uorjcr3rnlaxmf1l1wildvz54gw.png)
Now, substitute the voltage of one cell
![( V = 3 \) V):](https://img.qammunity.org/2022/formulas/physics/high-school/cymlihiskjpz7x213rsf6vxkfka1zon2qf.png)
![\[ V_{\text{battery}} = 2(3 \, \text{V}) + 3 \, \text{V} \]](https://img.qammunity.org/2022/formulas/physics/high-school/lo4pnt0rbrrbu89wplpie9o3yj7h8cazqc.png)
![\[ V_{\text{battery}} = 6 \, \text{V} + 3 \, \text{V} \]](https://img.qammunity.org/2022/formulas/physics/high-school/m2wwadrrxmfgqd9k6ezz5lpr244k32l8qd.png)
![\[ V_{\text{battery}} = 9 \, \text{V} \]](https://img.qammunity.org/2022/formulas/physics/high-school/df2x4hejt8x8y3bhqm71fz9x2adq8jv7g4.png)
So, the voltage of the battery is 9 V.