Answer

Verified

447.3k+ views

**Hint:**Coulomb’s law can be given as “The electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.” Which can be given mathematically as, $E=\dfrac{k{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}$. Using this we will define one coulomb.

**Formula used:**

$E=\dfrac{k{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}$

**Complete answer:**

Before defining coulomb we will define coulomb’s law which can be stated as, “The electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.” which can be given mathematically as,

$E=\dfrac{k{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}$

Where k is constant, Q is charge and r is distance between two charges.

Now, for finding one coulomb charge we have to consider the distances between two charges as $1\ m$, value of k is $9\times {{10}^{9}}$ and to equal charges of opposite charges are considered. And the force acting is $F=9\times {{10}^{9}}N$. Substituting these values, we will get,

$9\times {{10}^{9}}=\dfrac{9\times {{10}^{9}}Q}{{{\left( 1 \right)}^{2}}}\Rightarrow Q=1C$

From, this we can say that the one coulomb can be defined as the quantity of charge, which when placed at a distance $1\ m$ in vacuum or air from an equal charge, experiences a repulsive force $F=9\times {{10}^{9}}N$.

**Note:**

In this we have considered the like charges so the net force remains zero as the direction of forces are also opposite, but if we consider the unlike charges as then the attraction force will be towards one of the charges so, if we change the value of Q the answer will change which is wrong. So, students must consider the charges repulsive to get the answer.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Choose the antonym of the word given below Furious class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE