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Chapter 25: Problem 3

Can the voltage across a battery's terminals differ from the battery's rated voltage? Explain.

Short Answer

Expert verified
Yes, the voltage across a battery's terminals can differ from the battery's rated voltage. The actual terminal voltage can be influenced by factors such as the battery's state of charge, its temperature, and the rate of current draw (the load).

Step by step solution

01

Understanding Rated Voltage

The rated voltage of a battery is the nominal or face value that you would typically find on its label. This serves as an indication of the maximum voltage it can deliver when it's fully charged. Its actual voltage when in use can differ from this nominal value.
02

Factors Affecting Terminal Voltage

Several factors can affect the actual voltage across a battery's terminals. These factors include the battery's state of charge, its temperature, and the rate at which current is being drawn from it (known as the load).
03

Variations in Terminal Voltage

Under low load or no load conditions, the terminal voltage can approach the maximum rated voltage. However, under high load conditions, the terminal voltage may drop. '\[ \]' Temperature changes also affect the voltage; increased temperature generally reduces the battery voltage, while lower temperatures can increase it. '\[ \]' Finally, as the battery depletes, the voltage output will also decrease below the rated voltage.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Rated Voltage
Rated voltage is essentially the "label value" marked on a battery, serving as a guideline for the potential energy it can deliver. It's the voltage a battery is expected to provide when it is fully charged and under ideal conditions. However, in practical scenarios, this varies slightly due to real-world factors.

A battery's rated voltage is crucial for designing circuits and ensuring that devices receive the correct power supply. For instance, a 12V battery should ideally power any device requiring 12 volts, assuming optimal conditions.

Remember, rated voltage does not account for depletion or external conditions, which can cause variations in the actual delivered voltage.
Terminal Voltage
Terminal voltage refers to the actual measurable voltage across the terminals of a battery during operation. This is the voltage that is available at any given instant, and it can vary greatly from the rated voltage.

The difference between terminal and rated voltage comes from the internal resistance and current flow within the battery. Electrical resistance and other factors like temperature fluctuations affect terminal voltage.

Terminal voltage provides a more precise understanding of a battery's real-time performance, especially under changing conditions.
Factors Affecting Voltage
Several dynamic factors contribute to variations in a battery's voltage:
  • State of Charge: As a battery discharges, the internal chemicals deplete, causing the voltage to drop.
  • Internal Resistance: Every battery has some internal opposition to the flow of electrons, which varies with age and charge.
  • Load Conditions: The demand or load on the battery can affect the current drawn, causing voltage changes.
  • Temperature: Both high and low temperatures have distinct effects on battery voltage and performance.
Understanding these factors helps in predicting battery performance in varying situations.
Load Conditions on Voltage
Load conditions significantly impact a battery's terminal voltage.

When a battery is under a heavy load, meaning it is supplying a high level of current, the terminal voltage tends to drop. This is due to increased internal resistance as more current flows through.

Conversely, under light or no load conditions, the terminal voltage can be closer to the rated voltage. Managing load conditions can help maintain optimal performance and longevity of batteries.
Temperature Effects on Voltage
Temperature is a critical factor that affects the chemical reactions inside a battery, consequently impacting its voltage.

When temperatures rise, the internal resistance can increase, causing the terminal voltage to drop. This is because elevated temperatures speed up the chemical reactions but also increase resistance within the battery.

On the other hand, low temperatures may encourage slower chemical reactions, sometimes temporarily enhancing voltage. However, extremely low temperatures could also prevent a battery from delivering current efficiently. Hence, maintaining a moderate temperature range is essential for stable battery performance.

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Most popular questions from this chapter

Show that only half the total energy drawn from a battery in charging an \(R C\) circuit ends up stored in the capacitor. (Hint: What happens to the rest? You'll need to integrate.)

You have a battery whose voltage and internal resistance are unknown. Using an ideal voltmeter and an ideal ammeter, how would you determine each of these characteristics?

What's the emf of a battery that delivers \(27 \mathrm{J}\) of energy as it moves 3.0 C between its terminals?

Sketch a circuit diagram for a circuit that includes a resistor \(R_{\square}\) connected to the positive terminal of a battery, a pair of paralle resistors \(R_{2}\) and \(R_{3}\) connected to the lower-voltage end of \(R_{1}\) and then returned to the battery's negative terminal, and a capacitor across \(R_{2}\)

Show that a capacitor is charged to approximately \(99 \%\) of the applied voltage in five time constants \((5 R C)\)
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