# physics

posted by Kennedy

The electric potential in a certain region is
V = a x2 + b x + c,
where a = 14 V/m2, b = −19 V/m, and c = 61 V.
Determine the position where the electric field is zero.

1. Elena

ax²+bx+c=0,
14x²-19 x +61 =0,
x= [19±sqrt{19²+4•14•61}]/2•14 =
=(19±61.5)/28.
x₁=2.88 m,
x₂=-1.52 m

## Similar Questions

1. ### physics

In a certain region of space the electric potential is V= 5x-3x^2y+2yz^2. Find the expressions for the x,y,z compenents of the electric field in this region. What is the magnitude of the field at the point P, which has coordinates …
2. ### physics

The electric potential at x = 3.0 m is 120 V, and the electric potential at x = 5.0 m is 190 V. What is the electric field in this region, assuming it's constant?
3. ### physics

explain the relationship between contours of constant potential and the electric field direction. why is the electric field a vector quantity while the electric potential is a scalar?
4. ### physics

The electric potential in a certain region is V = a x2 + b x + c, where a = 15 V/m2, b = −13 V/m, and c = 67 V. 1)Determine the electric field at x = 4 m. 2)Determine the position where the electric field is zero.
5. ### physics

A moving particle encounters an external electric field that decreases its kinetic energy from 9100 eV to 6630 eV as the particle moves from position A to position B. The electric potential at A is -59.5 V, and the electric potential …
6. ### physics

A moving particle encounters an external electric field that decreases its kinetic energy from 9100 eV to 6630 eV as the particle moves from position A to position B. The electric potential at A is -59.5 V, and the electric potential …
7. ### physics

A moving particle encounters an external electric field that decreases its kinetic energy from 10360 eV to 7680 eV as the particle moves from position A to position B. The electric potential at A is -52.5 V, and the electric potential …
8. ### physics

Over a certain region of space, the electric potential is V = 5x - 6x2y + 2yz2. Find the expression for the x component of the electric field over this region. (Use x, y, and z as necessary.) Find the expression for the y component …
9. ### Physics Electric

The electric potential in a region is given by V(x,y,z) = -10.0x^2 + 20.0xyz + 6.0y^3 a) Find the electric field that produces this potential?
10. ### physics

A proton is acted on by an uniform electric field of magnitude 233 N/C pointing in the positive x direction. The particle is initially at rest. (a) In what direction will the charge move?

More Similar Questions