To solve the problem of finding the total voltage developed by a battery consisting of five dry cells connected in series, each cell generating a voltage of 1.5 V, we need to understand how voltages add up in a series circuit.
### Step-by-step Solution:
1. Identify the voltage of a single cell:
Each dry cell generates a voltage of 1.5 V.
2. Determine the number of cells:
There are five dry cells connected in series.
3. Understand series connection principle:
In a series connection, the total voltage is the sum of the voltages of all individual cells.
4. Calculate the total voltage:
Since we have five cells, and each cell contributes 1.5 V, we add the voltages of all five cells together:
[tex]\[
\text{Total voltage} = 1.5 \, \text{V} + 1.5 \, \text{V} + 1.5 \, \text{V} + 1.5 \, \text{V} + 1.5 \, \text{V}
\][/tex]
Alternatively, this can be calculated as:
[tex]\[
\text{Total voltage} = 1.5 \, \text{V} \times 5
\][/tex]
[tex]\[
\text{Total voltage} = 7.5 \, \text{V}
\][/tex]
5. Select the best answer:
From the options provided (A. 1.5 V, B. 7.5 V, C. 5.0 V, D. 0.3 V), the total voltage of 7.5 V corresponds to option B.
### Conclusion:
The total voltage developed by the battery with five cells connected in series, each generating 1.5 V, is:
[tex]\[
\boxed{7.5 \text{ V}}
\][/tex]
Thus, the best answer is:
B. 7.5 V
