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

The Electric Potential At A Point Xyz Is Given By Physics Question

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. One mole of an ideal diatomic gas undergoes a transition from A to B along a path
  2. Two capacitors having capacitances C₁ and C₂ are charged with 120V and 200V batteries
  3. A plane polarised light is incident normally on a tourmaline plate. Its E vector make
  4. The temperature of ideal gas is reduced from 927° C to 27° C. The r.m.s velocity
  5. Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen

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.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*