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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 parallel long wires carry currents i₁ and i₂ with i₁ > i₂ .
- A coil has an area of 0.05 m² and it has 800 turns. It is placed perpendicularly
- If the temperature of the sun were to increase from T to 2T and its radius from R and 2R
- If two vectors 2i+3j+k and -4i-6j-λk are parallel to each other, then the value of λ is
- A charged particle experiences magnetic force in the presence of magnetic field.
Topics: Electrostatics (146)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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