In a region the potential is represented by V(x, y, z)=6x-8xy-8y+6yz, where V is in volts and x, y, z, are in meters. The electric force experienced…
NEET UG 2014 — Physics Electromagnetism
2014mcqmedium
In a region the potential is represented by V(x,y,z)=6x−8xy−8y+6yz, where V is in volts and x,y,z, are in meters. The electric force experienced by a charge of 2 coulombs situated at point (1,1,1) is:
Official previous-year question
Held on 30 Apr 2014 · Verified 9 Jul 2026.
Options
A
65N
B
30N
C
24N
D
435N
Did you get this right?
Sign in to track your attempts and accuracy.
Solution
Potential in the space varies as V(x,y,z)=6x−8xy−8y+6yz.
Electric field is given by,
Ex=−∂x∂V=−6+8y
Ey=−∂y∂V=8x+8−6z
Ez=−∂z∂V=−6y
E=(−6+8y)i^+(8x+8−6z)j^−6yk^
Putting the value of the position we get,
E(1,1,1)=2i^+10j^−6k^
Magnitude is given by,
∣E∣=235NC−1
Force on the charge is given by,
F=qE=2×235=435N
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.