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ElectricalBasic Electrical
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The capacity of a lead-acid cell is measured in

A

amperes

B

ampere-hours

C

watts

D

watt-hours

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option B

ampere-hours

Quick Summary:

The capacity of a lead-acid battery is defined as the total amount of charge it can deliver under specific discharge conditions, measured in ampere-hours (Ah). It represents the product of the discharge current in amperes and the time in hours for which the battery can sustain that current until it reaches a specified cut-off voltage.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The capacity of a lead-acid battery is defined as the total amount of charge it can deliver under specific discharge conditions, measured in ampere-hours (Ah). It represents the product of the discharge current in amperes and the time in hours for which the battery can sustain that current until it reaches a specified cut-off voltage.

ЁЯФв Key Formulas

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

Cp=Ik├ЧtC_p = I^k \times tCpтАЛ=Ik├Чt тАФ Peukert's law formula showing the effect of discharge rate on capacity.

тЪЩя╕П Working Principle

The chemical energy stored within the lead-acid plates is converted into electrical energy during discharge. The capacity is governed by the Peukert's law, which states that the available capacity of a battery decreases as the discharge current increases. Thus, a fixed Ah rating is always specified at a particular discharge rate (e.g., 20-hour rate).

ЁЯУМ Key Points
  • тЦ╕

    Ampere-hour (Ah) is the standard industry unit for electrochemical energy storage capacity.

  • тЦ╕

    The rated capacity is temperature-dependent and decreases as ambient temperature drops.

  • тЦ╕

    A battery rated at 100Ah can theoretically provide 5A for 20 hours.

  • тЦ╕

    Actual capacity depends on the discharge rate; higher discharge rates lead to lower effective Ah capacity.

тЬЕ Advantages
  • тЦ╕

    Standardized metric for comparing different battery models.

  • тЦ╕

    Provides a direct indication of expected runtime for known loads.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Does not account for voltage sag under load, which defines the 'usable' energy.

  • тЦ╕

    Requires specifying discharge time (e.g., C20) to be accurate due to non-linear behavior.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Automotive starter batteries.

  • тЦ╕

    Uninterruptible Power Supply (UPS) systems.

  • тЦ╕

    Solar photovoltaic storage banks.

ЁЯУД Additional Information
  • тЦ╕

    Watts (W) represent power, and Watt-hours (Wh) represent total energy (Capacity ├Ч Voltage).

  • тЦ╕

    Amperes (A) measure instantaneous current flow, not total storage capacity.

ЁЯУК Diagram / Illustration
Battery Capacity (C)Current (A) ├Ч Time (h)Unit: Ampere-hour (Ah)
тЬЕ

B is correct тАФ The capacity of a battery is defined as the total charge delivery capability, which is the product of current and discharge time, expressed in ampere-hours (Ah).

Core Concepts Used
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Electrochemical storage Charge-time relationship Peukert's law
ЁЯТб EXAM TIP

Always check the discharge rate (e.g., C10 vs C20) in datasheets; a higher Ah rating at a slow discharge rate may provide less real-world runtime under high-current conditions compared to a lower Ah battery with better Peukert performance.

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