Question
Download Solution PDFHow will the electric field vary according to point (x, y, z), if the electric potential at any point (x, y, z) is given by V = 3x2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Electric Potential: An electric potential is the amount of work that is needed to move a unit charge in an electric field from a reference point to a specific point without producing an acceleration.
- The relation between the electric field (E) and Electric potential (V): Electric field is the gradient of electric potential (V) in the x-direction.
\(E = {-dV \over dx}\)
CALCULATION:
Given that V = 3x2
\(E = {-dV \over dx}= {-d(3x^2) \over dx}=-6x\)
So the correct answer is option 2.
Last updated on May 31, 2025
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