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Battery Series/Parallel Calculator - Online Voltage & Capacity

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Battery Series/Parallel Calculator

Calculate total voltage, capacity, and energy for series, parallel, or mixed battery pack configurations.

Battery Configuration

Total Cells: 6  (3S2P)
Pack Output
11.1
Volts (V)
Total Voltage
5000
mAh
Total Capacity
55.5
Watt-hours (Wh)
Total Energy
6
Cells
Pack Size
Safe - Low Voltage (<30V)
Battery   + Positive   − Negative
Quick Presets — Common Battery Pack Configurations
Frequently Asked Questions
What happens when you connect batteries in series?
When batteries are connected in series, the positive terminal of one battery connects to the negative terminal of the next. The total voltage adds up (Vtotal = Vcell × number in series), while the capacity (Ah) remains the same as a single cell. For example, three 3.7V 2500mAh Li-Ion cells in series produce 11.1V at 2500mAh. This is commonly used when you need higher voltage than a single cell can provide, such as in RC vehicles (11.1V 3S packs), e-bikes (48V 13S packs), and drones.
What happens when you connect batteries in parallel?
When batteries are connected in parallel, all positive terminals are connected together and all negative terminals are connected together. The voltage stays the same as a single cell, but the total capacity (Ah or mAh) adds up. For example, two 3.7V 2500mAh cells in parallel produce 3.7V at 5000mAh. The total energy (Wh) is the same whether cells are in series or parallel — it's always Vcell × Ahcell × total number of cells. Parallel configurations are ideal when you need longer runtime without increasing voltage.
Can I mix different battery types, brands, or ages in a series/parallel pack?
No — this is strongly discouraged and can be dangerous. Mixing batteries with different chemistries, capacities, internal resistances, or charge levels can lead to unbalanced charging/discharging, overheating, reduced lifespan, and even fire or explosion. For series connections, mismatched cells cause voltage imbalance; for parallel connections, cells with different voltages will rapidly equalize (causing high current flow). Always use identical cells from the same manufacturer, same batch, and same age. If building a large pack, consider using a Battery Management System (BMS) for safety.
How do I calculate the total energy (Wh) of my battery pack?
Total energy in Watt-hours is calculated as: Wh = Total Voltage (V) × Total Capacity (Ah). For a mixed series-parallel pack: Wh = (Vcell × S) × (Ahcell × P) = Vcell × Ahcell × S × P. In other words, the total energy is simply the energy of one cell multiplied by the total number of cells. This makes Wh a great metric for comparing packs regardless of configuration. For example, a 3S2P pack of 3.7V 2.5Ah Li-Ion cells = 3.7 × 2.5 × 6 = 55.5Wh — whether arranged as 3S2P, 2P3S, or any other layout.
What configuration is better — series-first or parallel-first?
Both configurations have the same total energy output, but they differ in practical design. Parallel-first (P then S) is the most common approach: cells are first grouped in parallel to create larger capacity blocks, then these blocks are connected in series. This simplifies BMS wiring (one balance lead per parallel group) and provides inherent self-balancing within each parallel group. Series-first (S then P) requires more complex BMS wiring but can be useful when you want independent series strings for redundancy. For most DIY projects (e-bikes, solar storage, RC packs), parallel-first is recommended.
Why is a BMS important for series battery packs?
A Battery Management System (BMS) is critical for any series-connected lithium battery pack. Without a BMS, individual cells can become overcharged or over-discharged due to slight differences in capacity or internal resistance. Overcharging a Li-Ion cell above 4.2V can cause thermal runaway and fire. Over-discharging below 2.5V permanently damages the cell. A BMS monitors each parallel group's voltage, balances cells during charging, and provides protection against over-voltage, under-voltage, over-current, and short circuits. For any pack with 3 or more cells in series, a BMS is strongly recommended.
How many 18650 batteries do I need for a 48V e-bike battery?
A typical 48V e-bike battery uses Li-Ion cells (3.7V nominal, 4.2V full charge). To reach ~48V nominal: 48 ÷ 3.7 ≈ 13 cells in series (13S), giving 48.1V nominal (54.6V fully charged). For capacity, if each cell is 2.5Ah (2500mAh) and you want a 10Ah pack, you need 10 ÷ 2.5 = 4 cells in parallel (4P). Total: 13S4P = 52 cells. This yields 48.1V, 10Ah, and 481Wh — a common configuration for e-bike batteries. For higher capacity (e.g., 15Ah), use 13S6P (78 cells). Always use a quality BMS rated for your pack's voltage and current.
What safety precautions should I follow when building a battery pack?
  1. Use identical cells — same model, batch, and state of charge.
  2. Balance cells before assembly — all cells should be within ±0.05V of each other.
  3. Use proper insulation — fish paper, Kapton tape, or cell holders to prevent short circuits.
  4. Install a quality BMS — matched to your pack's voltage, current, and chemistry.
  5. Use adequate wire gauge — sized for maximum expected current with safety margin.
  6. Include a fuse or circuit breaker — rated appropriately for your application.
  7. Work in a fire-safe area — have a fire extinguisher rated for electrical fires nearby.
  8. Follow local regulations — for transportation and disposal of lithium batteries.