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. A wire carrying current I has the shape as shown in adjoining figure. Linear parts
2. Charge Q is divided into two parts which are then kept some distance apart. The force
3. The body of mass m hangs at one end of a string of length l, the other end of which
4. Photons of 5.5 eV energy fall on the surface of the metal emitting photoelectrons
5. A short magnet of magnetic moment M, is placed on a straight line. The ratio

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