1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# The electric potential V at any point (x,y,z) in space is given by V=3x2 where x,y,z are all in metre. The electric field at the point (1m,0,2m) is

A
6Vm1 along negative x-axis
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
6Vm1 along positive x-axis
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
12Vm1 along negative x-axis
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
12Vm1 along positive x-axis
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
E
8Vm1 along negative x-axis
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 6Vm−1 along negative x-axisElectric potential V=3x2E=−dVdxE=−ddx(3x3)E=−6xAt the point (1,0,2)Electric field E=6×1=−6V/mThus electric field at (1m,0,2m) is 6Vm−1 along negative x− axis.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Field and Potential Due to a Dipole
PHYSICS
Watch in App
Join BYJU'S Learning Program