When the separation between two charges is increased, the electric potential energy of the charges
\[A.\] Increases
$B.$ Decreases
$C.$ Remains the same
$D.$ May increase or decrease
Answer
643.5k+ views
Hint: To solve this problem properly we should apply the basic relation of distance between charges and electric potential energy. Nature of the charges is also considered to analyse the change in electric potential energy of the charges. Electric potential energy is defined as the energy which is needed to move a charge against an electric field.
Complete step by step answer:
We know that the potential energy between two point charges is inversely proportional to the distance between them.
Mathematically we can write, ${{U}_{E}}=k\dfrac{{{q}_{1}}{{q}_{2}}}{r}$,
Where, ${{U}_{E}}=$ Electric potential energy, $k=$ coulomb constant, ${{q}_{1}}$ and ${{q}_{2}}$ are charges and $r$ is the distance between the charges.
On the basis of our above discussion we come on the conclusion that if the separation between both the charges is increased then the electric potential energy decreases.
Hence, option $(B)$ is correct.
Additional Information:
We should know about the basics of charge. Charge is defined as the basic property of a body by virtue of which it experiences a force when placed in an electromagnetic field. SI unit of charge is Coulomb $(C)$. Charge is of two types, positive charge and negative charge. Basic law of charge is that charges repel each other and unlike charges attract each other.
Note:
In solving these types of problems we should consider the signs of the charges involved. Relation of electric potential energy is also considered. We are only dealing with point charges and not the combination of charges. We should also remember that If both the charges have the same sign then potential energy will decrease with increase in separation and if both the charges have opposite signs then the electric potential energy will increase with increase of distance between them.
Complete step by step answer:
We know that the potential energy between two point charges is inversely proportional to the distance between them.
Mathematically we can write, ${{U}_{E}}=k\dfrac{{{q}_{1}}{{q}_{2}}}{r}$,
Where, ${{U}_{E}}=$ Electric potential energy, $k=$ coulomb constant, ${{q}_{1}}$ and ${{q}_{2}}$ are charges and $r$ is the distance between the charges.
On the basis of our above discussion we come on the conclusion that if the separation between both the charges is increased then the electric potential energy decreases.
Hence, option $(B)$ is correct.
Additional Information:
We should know about the basics of charge. Charge is defined as the basic property of a body by virtue of which it experiences a force when placed in an electromagnetic field. SI unit of charge is Coulomb $(C)$. Charge is of two types, positive charge and negative charge. Basic law of charge is that charges repel each other and unlike charges attract each other.
Note:
In solving these types of problems we should consider the signs of the charges involved. Relation of electric potential energy is also considered. We are only dealing with point charges and not the combination of charges. We should also remember that If both the charges have the same sign then potential energy will decrease with increase in separation and if both the charges have opposite signs then the electric potential energy will increase with increase of distance between them.
Recently Updated Pages
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

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

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

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

