In a certain region the electric potential at a point $(x, y, z)$ is given by the potential function $V = 2 x + 3 y - z$ . Then the electric field in this region will :
increase with increase in x and y
increase with increase in y and z
increase with increase in z and x
remain constant

Question

In a certain region the electric potential at a point $(x, y, z)$ is given by the potential function $V = 2 x + 3 y - z$ . Then the electric field in this region will :
increase with increase in x and y
increase with increase in y and z
increase with increase in z and x
remain constant

Toppr Admin · Accepted Answer

-V-2x-3y-x2212-z-Ex-x2212-dVdx-x2212-2-Ey-x2212-dVdy-x2212-3 and Ez-x2212-dVdz-1-As the field components-are independent of x-y and z so the field remains constant-

In a certain region the electric potential at a point (x,y,z) is given by the potential function V=2x+3y−z. Then the electric field in this region will :increase with increase in x and yincrease with increase in y and zincrease with increase in z and xremain constant

V=2x+3y−z Ex=−dVdx=−2,Ey=−dVdy=−3 and Ez=−dVdz=1 As the field components are independent of x,y and z so the field remains constant.

In a certain region the electric potential at a point $(x, y, z)$ is given by the potential function $V = 2 x + 3 y - z$ . Then the electric field in this region will :
increase with increase in x and y
increase with increase in y and z
increase with increase in z and x
remain constant

$V = 2 x + 3 y - z$

$E_{x} = - \frac{d V}{d x} = - 2, E_{y} = - \frac{d V}{d y} = - 3$ and $E_{z} = - \frac{d V}{d z} = 1$

As the field components are independent of x,y and z so the field remains constant.