A uniform field of 2.0 N/C exists in space in .x-direction. (a)Taking the potential at the origin to be zero,
A uniform field of 2.0 N/C exists in space in .x-direction. (a)Taking the potential at the origin to be zero, write an expression for the potential at a general point (x,y, z).J?o) At which points, the potential is 25 V ? (c)Tf the potential at the origin is taken to be 100 V, what will be Uie expression for the potential at a general point ? (a) What will be the potential at the origin if the potential at infinity is taken to be zero ? Is it practical to choose the potential at infinity to be zero ?
1 Answers
E = 2 N/C in x-direction
(a) Potential aat the origin is O. dV = – Ex dx – Ey dy – Ez dz
=> V – 0 = – 2x => V = – 2x
(b) (25 – 0) = – 2x => x = – 12.5 m
(c) If potential at origin is 100 v, v – 100 = – 2x => V = – 2x + 100 = 100 – 2x
(d) Potential at ∞ IS 0, V – V' = – 2x => V' = V + 2x = 0 + 2∞ => V' = ∞
Potential at origin is ∞. No, it is not practical to take potential at ∞ to be zero.