Answer:
(a) the distance to the particle is 7.83 m
(b) the magnitude of the charge is 3.13 x 10⁻⁶ C
Explanation:
Given;
magnitude of the electric field, E = 460 V/m
magnitude of the electric potential, V = 3.6 kV = 3,600 V
(a) the distance to the particle is calculated as;
Er = V
r = V/E
r = 3,600/460
r = 7.83 m
(b) the magnitude of the charge is calculated as;
[tex]E =\frac{kQ}{r^2} \\\\Q = \frac{Er^2}{k} \\\\Q = \frac{460 \times (7.83)^2}{9\times 10^9} \\\\Q = 3.13 \times 10^{-6} \ C[/tex]