Answer:
Q = - 256 X 10⁻⁷ C .
Explanation:
Electric field due to a charge Q at a distance d from the center is given by the expression
E = k Q /d² Where k is a constant and it is equal to 9 x 10⁹
Put the given value in the equation
9 x 10² = [tex]\frac{9\times10^9\times Q}{(14+2)^2\times10^{-4}}[/tex]
Q = [tex]\frac{9\times16^2\times10^{-2}}{9\times10^9}[/tex]
Q = - 256 X 10⁻⁷ C .
It will be negative in nature as the field is directed towards the center.
