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ElectricalBasic Electrical
PrevNext

The capacity of a lead-acid cell does not depend on its

A

temperature

B

rate of charge

C

rate of discharge

D

quantity of active material

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option B

rate of charge

Quick Summary: The capacity of a lead-acid battery represents the total amount of energy (Ah) it can deliver under specific conditions. While capacity is strongly dependent on temperature, the discharge rate, and the physical quantity of active material (plates/electrolyte), it is defined by the output delivery process rather than the input charging process.

ЁЯТб Explanation

The capacity of a lead-acid battery represents the total amount of energy (Ah) it can deliver under specific conditions. While capacity is strongly dependent on temperature, the discharge rate, and the physical quantity of active material (plates/electrolyte), it is defined by the output delivery process rather than the input charging process.

ЁЯФв Key Formulas

C=I├ЧtC = I \times tC=I├Чt тАФ Fundamental capacity formula where CCC is capacity in Ah, III is current, and ttt is time.

Cp=In├ЧtC_p = I^n \times tCpтАЛ=In├Чt тАФ Peukert's Law representing the non-linear relationship between capacity and discharge current.

тЪЩя╕П Working Principle

The capacity CCC is determined by the Peukert effect, where the effective capacity decreases as the discharge current increases due to internal resistance and chemical diffusion limitations. The quantity of active material determines the total chemical potential energy available, and temperature affects the electrolytic reaction kinetics. Charging parameters determine how efficiently energy is restored, not the total energy holding potential of the cell itself.

ЁЯУМ Key Points
  • тЦ╕

    Capacity is measured in Ampere-hours (Ah).

  • тЦ╕

    Peukert's Law defines how capacity drops as discharge rate increases.

  • тЦ╕

    Lower temperatures increase internal resistance, effectively reducing capacity.

  • тЦ╕

    The quantity of active material directly limits the total available electrons.

тЬЕ Advantages
  • тЦ╕

    High surge current capability

  • тЦ╕

    Low self-discharge rate

тЭМ Disadvantages / Limitations
  • тЦ╕

    Heavy weight and bulky size

  • тЦ╕

    Sensitivity to deep discharge cycles

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Automotive starting, lighting, and ignition (SLI) systems

  • тЦ╕

    Uninterruptible Power Supplies (UPS)

ЁЯУД Additional Information
  • тЦ╕

    Capacity is specified at a standardized 10-hour or 20-hour discharge rate.

  • тЦ╕

    The rate of charge affects the time taken to restore capacity and battery life (due to gassing), but the cell's 'capacity' (total charge storage capability) is a physical property determined by plate surface area and electrolyte concentration, not by how fast you pump current back into it.

ЁЯУК Diagram / Illustration
Battery Capacity DeterminantsQuantity of Active Material
Capacity (Ah) = Idischarge├ЧtdischargeI_{discharge} \times t_{discharge}IdischargeтАЛ├ЧtdischargeтАЛ
Influenced by:- Temperature- Discharge Rate
тЬЕ

B is correct тАФ The capacity of a lead-acid cell is a measure of the total charge it can supply during discharge, and it is not functionally defined by the rate at which it is charged.

Core Concepts Used
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Electrochemical storage Peukert's Law Ampere-hour rating
ЁЯТб EXAM TIP

In competitive exams, always remember that capacity is a 'storage potential' attributeтАФfactors like discharge rate (load) affect the 'available' capacity, while charging rate is a maintenance/operational parameter.

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