Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential
A uniform field of 2.0 N C ⁻¹ exists in space in the x -direction. Taking the potential at the origin to be zero, at which points is the potential equal to 25 V ?
Options
- APoints on the plane y = -12.5 m
- BPoints on the plane x = 12.5 m
- CPoints on the plane x = -12.5 m
- DPoints on the plane z = 12.5 m
Correct answer
C. Points on the plane x = -12.5 m
Step-by-step solution
The relation between electric potential and electric field is given by dV = - E d r . Given E = 2.0 i N C ⁻¹ , the potential difference between a point (x, y, z) and the origin (0, 0, 0) is: V(x, y, z) - V(0, 0, 0) = - ₀^ x E_ x dx V(x, y, z) - 0 = - ₀^ x 2.0 dx V(x, y, z) = -2.0 x We are given that the potential is 25 V . Substituting this value: 25 = -2.0 x x = -12.5 m This equation represents a plane perpendicular to the x -axis. Thus, the potential is 25 V at all points on the plane x = -12.5 m .