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The electric potential at a point (x,y,z) is given by V = – x²y – xz³ + 4. The electric field E⃗ at that point is
Options
(a) E⃗ = i 2xy + j (x² + y²) + k (3xz – y²)
(b) E⃗ = i z³ + j xyz + kz²
(c) E⃗ = i (2xy – z³) + j xy² + k 3z² x
(d) E⃗ = i (2xy + z³) + j x² + k 3xz²
Correct Answer:
E⃗ = i (2xy + z³) + j x² + k 3xz²
Explanation:
The electric field at a point is equal to negative of potential gradient at that point.
E⃗ = – ?V/ ?r = [ -?V/ ?x i – ?V/ ?y j – ?V/ ?z k ]
E⃗ = i (2xy + z³) + j x² + k 3xz²
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Topics: Electrostatics
(146)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Two planets at mean distances d₁ and d₂ from the sun have their frequencies n₁ and n₂
- The electric field in a certain region is given by E=5i ̂-3ĵ kV/m. The potential
- A uniform rod of length l is placed with one end in contact with the horizontal
- The potential energy of particle in a force field is U = A/r² – b/r, where A and B
- A metal conductor of length 1m rotates vertically about one of its ends at angular
Topics: Electrostatics (146)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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