
One ampere-hour charge is equivalent to:
A.$36{\text{ coulombs}}$
B.$360{\text{ coulombs}}$
C.$3600{\text{ coulombs}}$
D.$36000{\text{ coulombs}}$
Answer
571.2k+ views
Hint: To answer this question you must know the concept of charge. Ampere is an important unit of charge and can be defined as the unit of electric current that is equal to the flow of one Coulomb per second
Formula used:
${\text{current = }}\dfrac{{{\text{charge}}}}{{{\text{time}}}}$
Complete step by step answer:
The symbol for Ampere or ‘amp’ is denoted by A. The symbol is named after the French Physicist and Mathematician Andre-Marie Ampere, who is considered as the ‘Father of Electrodynamics’.
From the definition of one ampere, it can be said that it represents one coulomb of electrical charge, i.e. \[6.24 \times {10^{18}}\;\]charge carriers, moving in one second.
In different terms, it can be defined as the amount of current produced by the force of one volt acting through a resistance of one ohm. For different current consumptions, ampere and Coulomb are two different units.
Coulomb is also called Ampere – second or Ampere – hour.
The relationship between ampere and Coulomb can be represented by the equation:
\[1\;{\mathbf{Ampere}}{\text{ }} = {\text{ }}\dfrac{{{\mathbf{1}}{\text{ }}{\mathbf{Coulomb}}}}{{1{\text{ sec}}}}\]
Now converting this to appropriate units:
\[{\text{1 Ampere - hour = }}\dfrac{{{\text{1 coulomb}}}}{{{\text{1 sec}}}}{{ \times 3600 sec = 3600 Coulombs}}\;\].
This is the reason that the one ampere-hour charge is equivalent to 3600 Coulombs.
Thus, the correct option is option C.
Note:
You should also know the use of a device Ampere meter. Ampere meter is an important component of electrical circuits and is commonly known as Ammeter which is used to measure electrical current in Amperes. The electrical current in a circuit involving a load is measured with the help of Ampere meter by connecting it in series to the load. Usually the ammeter has zero resistance hence the load in the circuit remains unaffected. An ideal ammeter is said to have zero impedance so that the power loss in the instrument is zero.
Formula used:
${\text{current = }}\dfrac{{{\text{charge}}}}{{{\text{time}}}}$
Complete step by step answer:
The symbol for Ampere or ‘amp’ is denoted by A. The symbol is named after the French Physicist and Mathematician Andre-Marie Ampere, who is considered as the ‘Father of Electrodynamics’.
From the definition of one ampere, it can be said that it represents one coulomb of electrical charge, i.e. \[6.24 \times {10^{18}}\;\]charge carriers, moving in one second.
In different terms, it can be defined as the amount of current produced by the force of one volt acting through a resistance of one ohm. For different current consumptions, ampere and Coulomb are two different units.
Coulomb is also called Ampere – second or Ampere – hour.
The relationship between ampere and Coulomb can be represented by the equation:
\[1\;{\mathbf{Ampere}}{\text{ }} = {\text{ }}\dfrac{{{\mathbf{1}}{\text{ }}{\mathbf{Coulomb}}}}{{1{\text{ sec}}}}\]
Now converting this to appropriate units:
\[{\text{1 Ampere - hour = }}\dfrac{{{\text{1 coulomb}}}}{{{\text{1 sec}}}}{{ \times 3600 sec = 3600 Coulombs}}\;\].
This is the reason that the one ampere-hour charge is equivalent to 3600 Coulombs.
Thus, the correct option is option C.
Note:
You should also know the use of a device Ampere meter. Ampere meter is an important component of electrical circuits and is commonly known as Ammeter which is used to measure electrical current in Amperes. The electrical current in a circuit involving a load is measured with the help of Ampere meter by connecting it in series to the load. Usually the ammeter has zero resistance hence the load in the circuit remains unaffected. An ideal ammeter is said to have zero impedance so that the power loss in the instrument is zero.
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