# What is meant by saying that the electric potential at a point is 1V?

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**Hint:**You could read the question well as a first step. Then you could give an explanation for electric potential at an arbitrary point in a general sense. After that one could get into directly giving the solution to the question given above. You could recall the mathematical relation for better understanding.

**Complete step-by-step solution:**

In the question, we are asked to explain when the electric potential at an arbitrary point is said to be 1V. As a first step, one could begin by defining electric potential at an arbitrary point in a general sense.

Electric potential at an arbitrary point can be defined as the amount of work that is done so as to bring a unit positive charge from infinity to the arbitrary point under consideration. Mathematically this can be expressed as,

$V=\dfrac{w}{q}$

Where, V is the electric potential, w is the work done and q is the charge. Electric potential is measured in volts which is its SI unit.

Now, let us explain when the electric potential at a point is 1V. When the work done so as to bring one coulomb charge from infinity to a particular point is one joule, then the electric potential at this point is said to be 1V.

Mathematically,

$V=\dfrac{1J}{1C}=1V$

**Note:**One volt electric potential can otherwise be defined as one joule per coulomb. Another important point that is to be kept in mind while defining quantities such as that given above is that the quantities should be in their respective SI units. For example, joule and coulomb are SI units of work done and charge respectively.

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