QuestionQuestion 5

Can the potential of a non-uniformly charged sphere be the same as that of a point charge?

Solution

No, the electric potential around the non-uniformly charged sphere will not be same as that of point charge.

 For the point charge electric potential is 
Vp = kQ/r, the potential due to point charge is constant for the same value of r and for a uniform field. 

For the electric field due to non-uniformly charged sphere
 E=ΔV/Δr
Where, 
•	E   is the electric field, 
•	ΔV   is the change in electric potential, and 
•	Δr is the distance from the point charge to the point where the potential is to be found. 
Now, rearranging above equation we have
ΔV=E Δr
The above equation tells us that if field is not uniform electric potential will change 
Hence, the potential of a non-uniformly charged sphere and that of a point charge are not the same.
Physics XII (FBISE)

Context

Chapter 3: Electromagnetism

Chapter 4: Electromagnetic induction

Chapter 5: Alternating Current

Chapter 6: Physics of Solids

Chapter 7: Electronics

Chapter 8: Dawn Of the Modern Physics

Chapter 9: Atomic Spectra

Chapter 10: Nuclear Physics

Utopains

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