Question
Download Solution PDFA thin spherical conducting shell has charge Q on it. The potential inside the conductor has a constant value throughout. The electric field inside the conductor is?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.
- Potential due to a single charged particle Q at a distance r from it is given by:
Where, ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units
- An Equipotential surface is a surface with a constant value of the potential at all points on the surface.
- The following figures show equipotential surfaces due to a point charge and an electric dipole.
- The relation between electric potential and the electric field is,
Where E is the electric field, V is the electric potential, and x is the direction of the electric field in space
EXPLANATION:
- The relation between electric potential and the electric field is,
- Since the potential inside the conductor is constant with any variation in dx, then dV = 0,
Therefore option 3 is correct.
Additional Information
- Potential at a point P due to a system of charged particles Q1, Q2, Q3, ... Qn having distances r1, r2, r3, ... rn respectively from point P is given by:
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