JEE Main 2022 · 29 Jun · Shift 2 · Physics Q48

PhysicsSingle correct+4 / -1Question 48 of 90

If the electric potential at any point $(x,y,z)$ m in space is given by $V=3x^2$ volt. The electric field at the point $(1,0,3)$ m will be :

3 Vm

^{-1}

, directed along positive

x

-axis.

3 Vm

^{-1}

, directed along negative

x

-axis.

6 Vm

^{-1}

, directed along positive

x

-axis.

6 Vm

^{-1}

, directed along negative

x

-axis.

Answer and worked solution

Official answer: D

Field. $E_x=-\dfrac{dV}{dx}=-6x=-6$ V m $^{-1}$ at $x=1$ : magnitude 6, along $-x$ .

(D)

Topics:Electric potential

JEE Main 2022 · 29 Jun · Shift 2, Physics question 48