Calculating Alkaline Cell Ah Efficiency
This solution explains the calculation for Ampere-hour (Ah) efficiency of an alkaline cell based on given discharge and charge parameters.
Discharge Calculation
First, calculate the total Ampere-hours (Ah) delivered during the discharge phase.
- Discharge Current (\(I_{discharge}\)): 4A
- Discharge Time (\(t_{discharge}\)): 12 hours
- Calculated Discharge Ah: \(Ah_{discharge} = I_{discharge} \times t_{discharge}\)
- \(Ah_{discharge} = 4 \text{A} \times 12 \text{ h} = 48 \text{ Ah}\)
Charge Calculation
Next, calculate the total Ampere-hours (Ah) supplied during the charging phase to restore the cell.
- Charging Current (\(I_{charge}\)): 3A
- Charging Time (\(t_{charge}\)): 20 hours
- Calculated Charge Ah: \(Ah_{charge} = I_{charge} \times t_{charge}\)
- \(Ah_{charge} = 3 \text{A} \times 20 \text{ h} = 60 \text{ Ah}\)
Efficiency Calculation
Finally, calculate the Ah efficiency using the formula:
- \(Efficiency_{Ah} = \frac{\text{Ah delivered during discharge}}{\text{Ah supplied during charge}} \times 100\%\)
- \(Efficiency_{Ah} = \frac{48 \text{ Ah}}{60 \text{ Ah}} \times 100\%\)
- \(Efficiency_{Ah} = 0.8 \times 100\%\)
- \(Efficiency_{Ah} = 80\%\)
The Ah efficiency of the alkaline cell is 80%.
Similar Questions
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- In general, battery capacity is written in ______.
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- Dry cell E.M.F Value is approximately________.
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Important Questions from Cells and Batteries
Two ampere hour (Ah) is equal to how many Coulombs?
In ideal case, the charging current for 200 Ah battery would be-
- To significantly increase the maximum continuous discharge current (C-rate) a lithium-ion battery pack can safely supply, while maintaining its nominal voltage, which of the following architectural design modifications is most effective?
Which of the following is an example of a primary battery?
Which of the following statement is correct for primary cell with regards to secondary cell?
