141 Views

If potential in a region is expressed as V (xyz) = 6xy - y + 2yz , the electric field at point (1,1,0) is ??


Swagata Das 9th Jul, 2020
Answer (1)
Hrisheekesh Singh 9th Jul, 2020

Hi Swagata,

It is given that, V = 6xy − y + 2yz

E = [ (∂V/∂x) i + (∂V/∂y) j + (∂V/∂z) k]

E = − { (∂/∂x) [6xy − y + 2yz] i + (∂/∂y) [6xy − y + 2yz] j + (∂/dz) [6xy − y + 2yz) k}

= − { (6y) i + (6x − 1 + 2z) j + (2y) k}

E(1,1,0) = −{ (6x1) i + (6 × 1 − 1 + 2 × 0) j + (2 × 1) k]

=− (6i + 5j + 2k)

Feel free to ask doubts in the Comment Section.

I hope this information helps you.

Good Luck!



Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Greater Noida Institute of Te...
Apply
NAAC A+ Accredited | Highest CTC 70 LPA | Average CTC 6.5 LPA | 400+ Recruiters
Vignan's Deemed to be Univers...
Apply
70th University Ranked by NIRF | 80th Engineering Rank by NIRF | Accredited by NBA and NAAC A+
Amity University-Noida BBA Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
UPES B.Tech Admissions 2026
Apply
Last Date to Apply: 28th Feb | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
Mangalmay Group of Institutio...
Apply
NAAC "A" Grade accredited institute
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books