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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalBasic Electrical
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The capacity of a battery is expressed in terms of

A

current rating

B

voltage rating

C

ampere-hour rating

D

none of the above

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option C

ampere-hour rating

Quick Summary: The capacity of a battery is defined as the total amount of electric charge it can deliver under specified conditions, typically measured in Ampere-hours (Ah). This rating represents the product of current in Amperes and time in hours for which the battery can supply that current until its voltage drops to a predefined cutoff limit.

💡 Explanation

The capacity of a battery is defined as the total amount of electric charge it can deliver under specified conditions, typically measured in Ampere-hours (Ah). This rating represents the product of current in Amperes and time in hours for which the battery can supply that current until its voltage drops to a predefined cutoff limit.

🔢 Key Formulas

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

E=V×I×tE = V \times I \times tE=V×I×t — where EEE is the total energy in Watt-hours (Wh).

⚙️ Working Principle

The capacity is derived from the chemical energy stored within the battery cells. The discharge process involves a chemical reaction that releases electrons at a rate proportional to the load current. As the active materials in the electrodes are consumed or the electrolyte concentration changes, the terminal voltage gradually declines; once it hits the 'end-of-discharge' voltage, the battery is considered exhausted.

📌 Key Points
  • ▸

    Ampere-hour (Ah) rating is independent of voltage rating for capacity classification.

  • ▸

    Actual capacity depends on the discharge rate (Peukert's Law) and temperature.

  • ▸

    Higher discharge currents typically lead to lower effective Ah capacity due to internal resistance losses.

  • ▸

    Battery capacity indicates how long a load can be powered before recharging is necessary.

✅ Advantages
  • ▸

    Provides a standardized metric for comparing battery life.

  • ▸

    Allows for easy calculation of required battery size for specific load durations.

❌ Disadvantages / Limitations
  • ▸

    Does not account for depth of discharge (DoD) limitations.

  • ▸

    Capacity rating can be misleading if the specific discharge rate is not specified.

🛠️ Applications / Uses
  • ▸

    Sizing Uninterruptible Power Supplies (UPS).

  • ▸

    Designing solar photovoltaic storage systems.

  • ▸

    Automotive battery specifications.

📄 Additional Information
  • ▸

    The C-rating is often used alongside Ah to define the discharge rate (e.g., a 100Ah battery discharged at 0.1C means drawing 10A).

  • ▸

    Option A is incorrect because current rating is an instantaneous parameter, not a total capacity measure.

  • ▸

    Option B is incorrect because voltage rating signifies the potential difference and chemical composition, not the total energy storage capability.

📊 Diagram / Illustration
Battery Capacity FormulaCapacity (Ah) = Current (A) × Time (h)
Q=I×tQ = I \times tQ=I×t
✅

C is correct — Battery capacity is defined by the product of discharge current and time, expressed as Ampere-hours (Ah).

Core Concepts Used
Click any tag to open in AI Tutor
Electrochemical energy storage Discharge characteristics Electric charge capacity
💡 EXAM TIP

In competitive exams, remember that Capacity (Ah) ×\times× Voltage (V) gives Energy (Wh); don't confuse charge capacity with energy storage capacity.

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