Find the potential V of an electrostatic field E- - ay-x- where a is a constant-

The correct option is B axy+C dV= E⃗.d⃗r dV= ∫E⃗.d⃗r E⃗ = a(yî+x ĵ) dV= ∫(aydx+axdy) = a ∫ d(yx) = axy+C ...

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Standard XII

Physics

Motional EMF in an Open Conductor

Find the pote...

Question

Find the potential $V$ of an electrostatic field $¯ E = a (y^i + x^j)$ where a is a constant.

a x y + C

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- a x y + C

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a x y

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- a x y

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Solution

The correct option is B $- a x y + C$
$d V = - \to E . \to d r$
$d V = - \int \to E . \to d r$
$\to E = a (y^i + x^j)$
$d V = - \int (a y d x + a x d y)$
$= - a \int d (y x) = - a x y + C$

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Find the potential V of an electrostatic field ¯E=a(y^i+x^j) where a is a constant.

The correct option is B −axy+CdV=−→E.→drdV=−∫→E.→dr→E=a(y^i+x^j)dV=−∫(aydx+axdy)=−a∫d(yx)=−axy+C

Find the potential $V$ of an electrostatic field $¯ E = a (y^i + x^j)$ where a is a constant.

The correct option is B $- a x y + C$
$d V = - \to E . \to d r$
$d V = - \int \to E . \to d r$
$\to E = a (y^i + x^j)$
$d V = - \int (a y d x + a x d y)$
$= - a \int d (y x) = - a x y + C$