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Question: Given : Electric potential at a point is : f = x<sup>2</sup>y + yz. The electric field at the point ...

Given : Electric potential at a point is : f = x2y + yz. The electric field at the point (1, 3, 1) is-

A

7 units

B

70 units

C

49 units

D

490 units

Answer

7 units

Explanation

Solution

f = x2y + yz

Ex = – ϕx\frac { \partial \phi } { \partial \mathrm { x } } = – 2xy

Ey = – ϕy\frac { \partial \phi } { \partial y } = – x2 –z

Ez = –= – y

at point (1,3,1), E = 49\sqrt { 49 }= 7