Assume than an electric field vec(E ) = ...

Assume than an electric field `vec(E ) = 30 x^(2)hat(i)` exists in space. Then the potential difference `V_(A) - V_(O)`, where `V_(O)` is the potential at the origin and `V_(A)` the potential at x = 2 m is

80 J

120 J

`-120 J`

`-80 J`

Verified by Experts

The correct Answer is:

We know, `vec(E ) = -(dV)/(dx) hat(i) or, int_(V_O)^(V_A) dV = -int_(0)^(2) 30 x^(2) dx`
`:. V_(A) - V_(O) = -30 [(x^3)/(3)]_(0)^(2) = -80 J` .

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Assume that an electric field oversettoE=30x^2overset^i exists in space. Then the potential difference V_A-V_0 , where V_0 is the potential at the origin and V_A the potential at x = 2 m is :

120J/C

`-120J/C`

`-80J/C`

80 J/C

`V = -(x+y) + "constant"`

`C = "constant"`

`V = -(x^(2)+y^(2))+"constant"`

`V = -xy + "constant"`

4.5 V