The electric potential at a point (x,y,z) is given by V = – x²y – xz³ + 4.

⇦

⇨

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

Related Questions:

1. Application of Bernoulli’s theorem can be seen in
2. In electromagnetic wave, according to Maxwell, changing electric field gives
3. Colours appear on a thin soap film and soap bubbles due to the phenomenon of
4. A neutron is moving with a velocity u.It collides head on and elastically with an atom
5. The radius of germanium nuclide is measured to be twice the radius of ₄⁹Be.

Topics: Electrostatics (146)
Subject: Physics (2479)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends