The collection of cells is known as a battery. A single cell or battery can only supply a certain amount of current. There are times when a single cell in a circuit fails to provide the current demand. Cells can be arranged in series and parallel combinations to solve the problem. This is known as mixed groupings of cells and can be used to generate a high electric current value. Generally, the electromotive force (e.m.f.) and current that may be achieved from a single cell are minimal. To increase the e.m.f. or current, several cells can be appropriately grouped or connected in a circuit.

Cells in a series grouping

The cells can be coupled in series when a high-end voltage is desired. Several cells are connected one after the other in a series grouping such that one cell’s negative terminal is connected to the positive terminal of the next cell and so on. A collection of cells in a series can be substituted by an equal cell whose end voltage is the sum of each cell’s individual retaining voltages and whose internal resistance is the whole sum of each cell’s resistance.

The sum of the e.m.f. of each cell in a series grouping equals the overall e.m.f.

Etotal = E₁ + E₂ = —–+ E_n

Advantages of cells in a series combination

• The combination of cells in a series is simple and easily understandable
• Quick overheating does not occur
• Its higher output voltage assists in the addition of more powerful appliances
• The current that is carried throughout the circuit remains the same

Disadvantages of cells in a series combination

• An increase in the total number of components increases the circuit resistance
• A fault at one point in the circuit will break the whole circuit

Cells in a parallel grouping

The cells are connected in parallel when the current value is higher than the current value of individual cells. The unique terminals of all cells are linked and released as a positive terminal during aggregation. Similarly, all cell’s negative terminals are joined and released as a single negative terminal. If we want to preserve the same e.m.f. as a single cell while maximising the available output power, we connect the cells in a parallel grouping.

• Etotal = E₁ + E₂ = —–+ E_n
• Itotal = I₁ + I₂ + —–+ I_n
• I/Rtotal = 1/R₁ + 1/R₂ + ……+ 1/R_n

Series-Parallel Grouping

A set number of cells are organised into a series of lines in this combination, and all of the lines are connected. Assume that n cells, each with an e.m.f. E and an internal resistance R are connected in series in all rows, and these rows are connected in parallel. Then,

• E.m.f. of the battery = E.m.f. of one row = nE
• The internal resistance of n cells in series of each row = nR
• Equivalent resistance of m rows in parallel = nR/m
• Current delivered by battery I = E/R
• Current delivered by whole series-parallel combination, I = nE/nR/m = mE/R

Advantages of cells in a parallel combination

• Damage to one component in a parallel combination does not stop the current flow, its flow continues through the other components efficiently
• As the voltage is the same across every component in a combination of cells in a parallel circuit, it improves efficiency
• In a parallel circuit, connections or disconnections of new components are hassle-free

Disadvantages of cells in a parallel combination

• An additional voltage source cannot be applied to a combination of cells in a parallel circuit
• It requires a lot of wiring

Conclusion

A single cell or battery can only supply a certain amount of current. There are times when a single cell in a circuit fails to provide the current demand. Cells can be arranged in series and parallel combinations to solve the problem, or mixed groupings of cells can be used to generate a high electric current value. Generally, the e.m.f. and current that may be achieved from a single cell are tiny. To increase the e.m.f. or current, the number of cells can be appropriately grouped or connected. The best way to understand the grouping of cells is by solving some grouping of cells questions.