The gravitational field in a region is given by E-20N kg-1- Find the gravitational potential at the origin 0- 0 in J kg-1-

We know the relation between field and potential V= ∫ E.dr=[∫ E_x· dx+∫ E_y· dy]=20x+20y ⇒ V=0 at the origin (0, 0) . ...

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Standard XII

Physics

Gravitational Field

The gravitati...

Question

The gravitational field in a region is given by $\to E = - (20 N k g^{- 1}) (^i +^j)$ . Find the gravitational potential at the origin $(0, 0)$ in J $k g^{- 1}$ .

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Solution

We know the relation between field and potential
$V = - \int E . d r = [\int E_{x} \cdot d x + \int E_{y} \cdot d y] = 20 x + 20 y$
$\Rightarrow V = 0$ at the origin $(0, 0)$ .

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The gravitational field in a region is given by →E=−(20Nkg−1)(^i+^j). Find the gravitational potential at the origin (0,0) in J kg−1.

We know the relation between field and potentialV=−∫E.dr=[∫Ex⋅dx+∫Ey⋅dy]=20x+20y⇒V=0 at the origin (0,0).

The gravitational field in a region is given by $\to E = - (20 N k g^{- 1}) (^i +^j)$ . Find the gravitational potential at the origin $(0, 0)$ in J $k g^{- 1}$ .

We know the relation between field and potential
$V = - \int E . d r = [\int E_{x} \cdot d x + \int E_{y} \cdot d y] = 20 x + 20 y$
$\Rightarrow V = 0$ at the origin $(0, 0)$ .