Relation E and VHardQuestion 31451
Question
V = 3x² + 4y² (in SI units). Electric field at (1,0) m is:
- A−6x̂ N/C
- B6x̂ N/C
- C−(6x̂ + 8ŷ) N/C at point (1,0)
- D−6x̂ N/C at (1,0)Correct
Correct answer
−6x̂ N/C at (1,0)
Explanation
E_x = −∂V/∂x = −6x. E_y = −∂V/∂y = −8y. At (1,0): E = −6x̂ − 0ŷ = −6x̂ N/C.