Question
Download Solution PDFA constant electric field of magnitude 1 μNC-1 exists along +x direction. What is the potential difference between points (1,0,0) and origin?
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
- x is the direction of the electric field in space
EXPLANATION:
Given - E = 10-6 NC-1
- The relation between electric potential and the electric field is,
- Since E is constant
- Therefore option 4 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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