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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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As compared to a lead-acid cell, the efficiency of a nickel-iron cell is less due to its

A

compactness

B

lower e.m.f

C

small quantity of electrolyte used

D

higher internal resistance

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option D

higher internal resistance

Quick Summary: The efficiency of a nickel-iron (Edison) cell is lower (approximately 60% to 70%) compared to a lead-acid cell (approximately 80% to 90%) primarily due to its significantly higher internal resistance. The high internal resistance leads to higher $I^2R$ power losses during both charging and discharging cycles.

💡 Explanation

The efficiency of a nickel-iron (Edison) cell is lower (approximately 60% to 70%) compared to a lead-acid cell (approximately 80% to 90%) primarily due to its significantly higher internal resistance. The high internal resistance leads to higher I2RI^2RI2R power losses during both charging and discharging cycles.

🔢 Key Formulas

η=EoutEin×100%\eta = \frac{E_{out}}{E_{in}} \times 100\%η=Ein​Eout​​×100% — General efficiency formula for batteries

Ploss=I2RintP_{loss} = I^2 R_{int}Ploss​=I2Rint​ — Power dissipation due to internal resistance

⚙️ Working Principle

The internal resistance in a nickel-iron cell is higher because the electrolyte (potassium hydroxide) has lower conductivity than the sulfuric acid used in lead-acid cells, and the active material structure contributes to ohmic drops. Since efficiency is defined as the ratio of output energy to input energy, the energy dissipated as heat (which is proportional to resistance RRR) reduces the total energy recovery, resulting in lower overall cycle efficiency.

📌 Key Points
  • ▸

    Nickel-iron cells are robust and have long cycle lives but lower energy efficiency.

  • ▸

    The electrolyte in nickel-iron cells is an alkaline solution (KOHKOHKOH with lithium hydroxide).

  • ▸

    High internal resistance is the dominant factor limiting the charging/discharging efficiency.

  • ▸

    Lead-acid cells use a liquid acid electrolyte which provides better ionic mobility.

✅ Advantages
  • ▸

    Extremely long service life

  • ▸

    Mechanically robust and resistant to overcharging/short-circuiting

❌ Disadvantages / Limitations
  • ▸

    Lower energy efficiency

  • ▸

    High self-discharge rate

🛠️ Applications / Uses
  • ▸

    Railway signaling

  • ▸

    Heavy-duty industrial standby power

🔄 Comparison Table
FeatureNickel-IronLead-Acid

Efficiency

60% - 70%

80% - 90%

Internal Resistance

High

Low

📄 Additional Information
  • ▸

    The higher internal resistance also leads to a more significant voltage drop under heavy load conditions in nickel-iron cells.

  • ▸

    Option B is incorrect because while nickel-iron cells have a lower nominal voltage (~1.2V) than lead-acid (~2.0V), voltage magnitude does not directly dictate thermodynamic efficiency in this context.

📊 Diagram / Illustration
Cell Energy Efficiency (η)Output Energy (Wh)Input Energy (Wh)Higher R ⇒ Higher Loss ⇒ Lower η
✅

D is correct — The higher internal resistance of the nickel-iron cell causes greater energy dissipation as heat, thereby reducing its overall efficiency.

Core Concepts Used
Click any tag to open in AI Tutor
Battery Efficiency Internal Resistance ($R_{int}$) Electrochemical Cell Characteristics
💡 EXAM TIP

Always remember that internal resistance is a key parameter for efficiency; higher internal resistance always results in lower efficiency due to increased I2RI^2RI2R heating losses.

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