Answer:
50 V
Explanation:
The formula electric potential is given as,
V = kq/r............. Equation 1
q = Vr/k ................. Equation 2
Where q = charge at that point, V = Electric potential, k = coulombs constant, r = distant.
Given: V = 100 V, r = 2.0 m, k = 9.0×10⁹ Nm/C².
Substitute into equation 1
q = (100×2)/(9.0×10⁹ )
q = (200/9)(10⁹)
q = 22.22×10⁻⁹
q = 2.22×10⁻⁸ C.
The potential at point 4.0 m
Given: r = 4.0 m, q = 2.22×10⁻⁸ C, k = 9.0×10⁹ Nm²/C²
Substitute into equation 2
V = 9.0×10⁹(2.22×10⁻⁸)/4
V = 49.95 V
V ≈ 50 V
Hence the potential = 50 V
