What is the value of $\text{1 Volt}$?
A. $\text{1 joule}$
B. $\text{1 joule per coulomb}$
C. $\text{1 coulomb per metre}$
D. $\text{1 Newton per coulomb}$
Answer
668.7k+ views
Hint: This problem can be solved by making use of the definition of one volt. One volt is the potential difference across a conductor when one joule of external work has to be done to bring a unit charge across it against the potential drop. Using this definition, and putting in the proper values, we can get a mathematical relationship for the value of one volt.
Formula used:
$1\text{ Volt = }\dfrac{1\text{ Joule}}{1\text{ Coulomb}}$
Complete step by step answer:
The potential difference across a conductor is a measure of the external work required to bring a unit charge across it against the potential gradient (that is, from lower potential to higher potential). Potential difference is measured in Volt $\left( V \right)$.
Therefore,
$\text{Potential difference = }\dfrac{\text{Work done to transfer the body across the potential gradient}}{\text{Charge of the body}}$
Now, the SI unit of work is Joule $\left( J \right)$ and the SI unit of charge is Coulomb $\left( C \right)$. Hence, by the definition of potential difference as given above, One volt is the potential difference across a conductor when one joule of external work has to be done to transfer a unit charge of one Coulomb across it from the lower to higher potential.
Hence, now putting the SI units in the ratio, we get
$1\text{ Volt = }\dfrac{1\text{ Joule}}{1\text{ Coulomb}}$
Hence, the value of 1 Volt will be $\text{1 joule per coulomb}$.
Therefore, the correct answer is B) $\text{1 joule per coulomb}$.
Note: Knowing the proper definitions of the physical quantities is imperative to solve such problems. In electromagnetism, electric potential and potential difference is one of the most basic quantities upon which the whole field of study is based. Often students don’t have proper knowledge of these basic quantities since they are used to define other important quantities. For example, capacitance is defined using charge and potential difference and students know its definition better than potential difference often. However, since the basic quantities form the whole subject, they should not be neglected. It is essential in physics that there is a deep understanding from the root level.
Formula used:
$1\text{ Volt = }\dfrac{1\text{ Joule}}{1\text{ Coulomb}}$
Complete step by step answer:
The potential difference across a conductor is a measure of the external work required to bring a unit charge across it against the potential gradient (that is, from lower potential to higher potential). Potential difference is measured in Volt $\left( V \right)$.
Therefore,
$\text{Potential difference = }\dfrac{\text{Work done to transfer the body across the potential gradient}}{\text{Charge of the body}}$
Now, the SI unit of work is Joule $\left( J \right)$ and the SI unit of charge is Coulomb $\left( C \right)$. Hence, by the definition of potential difference as given above, One volt is the potential difference across a conductor when one joule of external work has to be done to transfer a unit charge of one Coulomb across it from the lower to higher potential.
Hence, now putting the SI units in the ratio, we get
$1\text{ Volt = }\dfrac{1\text{ Joule}}{1\text{ Coulomb}}$
Hence, the value of 1 Volt will be $\text{1 joule per coulomb}$.
Therefore, the correct answer is B) $\text{1 joule per coulomb}$.
Note: Knowing the proper definitions of the physical quantities is imperative to solve such problems. In electromagnetism, electric potential and potential difference is one of the most basic quantities upon which the whole field of study is based. Often students don’t have proper knowledge of these basic quantities since they are used to define other important quantities. For example, capacitance is defined using charge and potential difference and students know its definition better than potential difference often. However, since the basic quantities form the whole subject, they should not be neglected. It is essential in physics that there is a deep understanding from the root level.
Recently Updated Pages
Difference Between Prokaryotic Cells and Eukaryotic Cells

If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

