
The self-energy of a conducting shell of radius and charge is:
A.
B.
C.
D.
Answer
499.2k+ views
Hint: The work done to make a body charged is stored in the form of energy. This energy is known as self-energy. It is assumed that when a body is charged small charges are brought near the object from infinity and charges are brought one after others they don’t interact with the object in bulk.
Complete answer:
When an object is charged a charge is brought near the object from the infinity. Hypothetically it is assumed that when the first charge is brought from infinity to a non-charged it does not experience any kind of force (opposing force). When the other charge particle (carrier) is brought near to the object it experiences some force exerted by the charge already present on the object.
Let us suppose that at a time the instantaneous charge is brought towards the object be . So the work done by the body to make the object charged will be,
Where,
is the constant whose value is
is the radius of the sphere
is the charge already present on the surface
is the charge brought from infinity to the surface
Let the maximum charge that the spherical shell can gain in time is . By integrating both the sides of the above equations over the of time 0 to and charge 0 to . The work done by the charge is given by,
The work done is stored in the form of energy inside the sphere. The stored energy is termed as self-charge of the body.
So, the correct option showing the true value of the self-charge on the body is Option B.
Note:
When a charge does some work against some opposing force it develops certain potential differences between the object and the surroundings. This potential difference gives rise to a voltage. This potential difference is very necessary for the charge flow in a circuit. If there is no potential difference there will be zero charge flow in the circuit.
Complete answer:
When an object is charged a charge is brought near the object from the infinity. Hypothetically it is assumed that when the first charge is brought from infinity to a non-charged it does not experience any kind of force (opposing force). When the other charge particle (carrier) is brought near to the object it experiences some force exerted by the charge already present on the object.

Let us suppose that at a time
Where,
Let the maximum charge that the spherical shell can gain in time
The work done is stored in the form of energy inside the sphere. The stored energy is termed as self-charge of the body.
So, the correct option showing the true value of the self-charge on the body is Option B.
Note:
When a charge does some work against some opposing force it develops certain potential differences between the object and the surroundings. This potential difference gives rise to a voltage. This potential difference is very necessary for the charge flow in a circuit. If there is no potential difference there will be zero charge flow in the circuit.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one of the following is a true fish A Jellyfish class 12 biology CBSE

Which are the Top 10 Largest Countries of the World?

Why is insulin not administered orally to a diabetic class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

The total number of isomers considering both the structural class 12 chemistry CBSE
