Physics · Electric potential and its calculation for a point charge, electric dipole and system of charges
A solid non conducting sphere charged in such a way that in it as we move away f
A solid non conducting sphere charged in such a way that in it as we move away from the centre, the electric field decreases then which of the following statement is correct :
- A. the sphere in uniformly charged
- B. the potential at surface is less than that at its centre
- C. the potential at surface is more than that at its centre
- D. the potential at surface may be less than that at its centre
Step-by-step solution
For a spherically symmetric charge distribution, the electric field inside the sphere decreases with distance from the center only if the charge distribution is non-uniform (e.g., charge concentrated near the center). The potential difference between the center and the surface is given by the integral of the electric field from center to surface. If the total charge is positive, the electric field points outward, making the center potential higher than the surface potential (so surface potential is less). If the total charge is negative, the field points inward, making the center potential lower (so surface potential is more). Since the problem does not specify the sign of the charge, it is possible that the surface potential is less than that at the center (if the charge is positive), but it could also be greater (if negative). Thus, option D correctly states that it may be less.
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