Equipotential Surface

how to these types of questions? tried taking Ex and Ey integrated both and just got xy in both
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@Gyro Gearloose
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hithav
hithav3d ago
You can find the equation of V using -dV/dx=Ex and -dV/dy=Ey and find the orthogonal curve to that d/dx is partial derivative wrt x
Gamertug
GamertugOP3d ago
i did that got Vx = -xy and Vy = -xy dont know how to proceed
hithav
hithav3d ago
hyperbole, what the the orthonal curves to hyperbole
Gamertug
GamertugOP3d ago
what?
hithav
hithav3d ago
They want equipotential surfaces so equipotential surfaces are perpendicular to the potential curves So straight lines for hyperbole
Gamertug
GamertugOP3d ago
i dont quite understand that last part acc to ans is C?
hithav
hithav3d ago
Yeah
Gamertug
GamertugOP3d ago
its Given D
hithav
hithav3d ago
What
Gamertug
GamertugOP3d ago
No description
Gamertug
GamertugOP3d ago
i dont understand the solution at all
hithav
hithav3d ago
Uh Mb i thought equipotential lines are perpendicular to potential vector they are not They are perpendicular to field lines
Gamertug
GamertugOP3d ago
yes thats what i was thinking
hithav
hithav3d ago
Ok so they are integrating the field to get equation of potential and they got xy so on what curve they will be constant xy=c
Gamertug
GamertugOP3d ago
ooh wait ic xy = constant in this case both Vx and Vy were Xy but what if they arnt? @hithav
hithav
hithav3d ago
We would have to take vector sum and equate it to constant that will be the ans
Gamertug
GamertugOP3d ago
ahh ic thx +solved @hithav
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