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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

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.

💡 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.

🔢 Key Formulas

C=I×tC = I \times tC=I×t — where CCC is capacity in Ah, III is current in Amperes, and ttt is time in hours.

Cp=Ik×tC_p = I^k \times tCp​=Ik×t — Peukert's law formula showing the effect of discharge rate on capacity.

⚙️ 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).

📌 Key Points
  • ▸

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

  • ▸

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

  • ▸

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

  • ▸

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

✅ Advantages
  • ▸

    Standardized metric for comparing different battery models.

  • ▸

    Provides a direct indication of expected runtime for known loads.

❌ Disadvantages / Limitations
  • ▸

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

  • ▸

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

🛠️ Applications / Uses
  • ▸

    Automotive starter batteries.

  • ▸

    Uninterruptible Power Supply (UPS) systems.

  • ▸

    Solar photovoltaic storage banks.

📄 Additional Information
  • ▸

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

  • ▸

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

📊 Diagram / Illustration
Battery Capacity (C)Current (A) × Time (h)Unit: Ampere-hour (Ah)
✅

B is correct — 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
Click any tag to open in AI Tutor
Electrochemical storage Charge-time relationship Peukert's law
💡 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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