conceptual doubt!

ans is false.........but i m not getting how??????plz xplain!!!!!!!

3 Answers

1
Samarth Kashyap ·

since filed= -dV/dr
|
i think the above statement is true only for the point (2,0,0) and not for other points on the plane

1
JOHNCENA IS BACK ·

I THINK AS PER INFO. GIVEN IN QUES. AND THING ASKED IN QUES. IT MUST BE TRUE...............BUT Y THEN ANS. IS GIVEN FALSE???????

1
Samarth Kashyap ·

\vec{E}=-(\frac{\partial V}{\partial x}\hat{i}+\frac{\partial V}{\partial y}\hat{j}+\frac{\partial V}{\partial z}\hat{k})

in the question, it is given as\left|\frac{\partial V}{\partial x} \right|=10

i think i made a mistake in #2, thinking that derivatives are zero at co-ordinates 0,

i think this is the correct explanation
so, |E|=10 wherever \frac{\partial V}{\partial y}=\frac{\partial V}{\partial z}=0

since we have no information about the other derivatives, the statement is false

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