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How many coulombs of charge are in one ampere-hour? }

Short Answer

Expert verified
There are 3600 coulombs of charge in one ampere-hour.

Step by step solution

01

Understand the Unit of Charge

The coulomb (C) is the unit of electric charge in the International System of Units. One coulomb is the charge transported by a constant current of one ampere in one second.
02

Understand the Unit of Current

The ampere (A) is the unit of electric current in the International System of Units. One ampere is defined as the flow of one coulomb of electric charge per second.
03

Calculate Charge for One Second

Since one ampere is one coulomb per second, in one second, the charge is 1 coulomb when the current is 1 ampere.
04

Calculate Total Seconds in One Hour

An hour consists of 60 minutes, and each minute contains 60 seconds. Therefore, one hour has:\[60 \text{ minutes} \times 60 \text{ seconds per minute} = 3600 \text{ seconds}\]
05

Calculate Total Charge in One Ampere-hour

Since one ampere of current carries one coulomb of charge per second, and there are 3600 seconds in an hour, the total charge in one ampere-hour is:\[1 \text{ ampere} \times 3600 \text{ seconds} = 3600 \text{ coulombs}\]

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Key Concepts

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

Understanding Ampere
An ampere, often abbreviated as "A," is the basic unit used to measure electric current in the International System of Units (SI). It represents the amount of electric charge flowing past a specified point in a circuit per second.
Ampere is named after André-Marie Ampère, a French physicist who was one of the founders of the science of classical electromagnetism.
In practical terms, if a wire has a current of one ampere, it means that there is a flow of one coulomb of charge passing through it every second. This is a fundamental concept in understanding how current and charge interact in a circuit, and it's crucial for calculating energy consumption and power in electrical devices. To sum it up:
  • An ampere is all about the flow of charge per second.
  • It's necessary for calculating other electrical concepts like power and energy.
Decoding Electric Charge
Electric charge is a property of matter that causes it to experience a force when placed in an electromagnetic field. It comes in two types: positive and negative. Electrons, for instance, carry a negative charge, while protons carry a positive charge.
The unit used to measure electric charge is the coulomb (C).
One coulomb is the amount of charge transferred by a steady current of one ampere flowing for one second.
To visualize it, imagine water flowing through a pipe: the charge is like the water itself, whereas the current (ampere) is like the flow speed of that water.
In electrical circuits, understanding charge is key to analyzing how and why components like batteries and capacitors work. Always remember:
  • Electric charge is responsible for the electric forces experienced between objects.
  • Coulomb is a practical unit to measure this property in electrical contexts.
Simplifying Unit Conversion
Unit conversion is often necessary when working with different measurements, especially in scientific and engineering contexts.
When dealing with electricity, you may need to convert between units such as coulombs, amperes, and time units like seconds or hours.
To convert ampere-hours to coulombs, the calculation involves multiplying the current in amperes by the time in seconds. For example, one ampere flowing for one hour equates to moving 3600 coulombs of charge because there are 3600 seconds in an hour.
Converting units correctly ensures accuracy in calculations and aids in understanding the relationships between different quantities. Here's what to keep in mind:
  • Identify the units you have and the units you need.
  • Use conversion factors, like seconds in an hour, to switch between units.
By mastering unit conversions, you can tackle a variety of scientific problems with confidence.

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Most popular questions from this chapter

The capacitor in an \(R C\) circuit \((R=120 \Omega, C=45 \mu F)\) is initially uncharged. Find (a) the charge on the capacitor and (b) the current in the circuit one time constant \((\tau=R C)\) after the circuit is connected to a \(9.0-\mathrm{V}\) battery.

A portable CD player uses a current of \(7.5 \mathrm{mA}\) at a potential difference of \(3.5 \mathrm{V}\) (a) How much energy does the player use in 35 s? (b) Suppose the player has a mass of \(0.65 \mathrm{kg}\). For what length of time could the player operate on the energy required to lift it through a height of \(1.0 \mathrm{m} ?\)

Consider a rectangular block of metal of height \(A\), width \(B\), and length \(C,\) as shown in Figure \(21-28\). If a potential difference \(V\) is maintained between the two \(A \times B\) faces of the block, a current \(l_{A B}\) is observed to flow. Find the current that flows if the same potential difference \(V\) is applied between the two \(B \times C\) faces of the block. Give your answer in terms of \(l_{A B}\)

Predict/Explain Two capacitors are connected in series. (a) If a third capacitor is now connected in series with the original two, does the equivalent capacitance increase, decrease, or remain the same? (b) Choose the best explaration from among the follow ing: I. Adding a capacitor generally tends to increase the capacitance, but putting it in series tends to decrease the capacitance; therefore, the net result is no change. II. Adding a capacitor in series will increase the total amount of charge stored, and hence increase the equivalent capacitance. III. Adding a capacitor in series decreases the equivalent capacitance since each capacitor now has less voltage across it, and hence stores less charge.

What is the minimum number of \(65-\Omega\) resistors that must be connected in parallel to produce an equivalent resistance of \(11 \Omega\) or less?

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