For the metal ball, electric field just outside the ball is given by the expression -
E = k*Q / R^2
Where -
k = Coulomb's constant = 9.0 x 10^9 N*m^2/C^2
R = 3.30 cm = 0.033 m
Q = charge on the ball
E = 3.75 x 10^2 N/C (Given)
Put the values -
3.75 x 10^2 N/C = (9.0 x 10^9 x Q) / (0.033)^2
=> Q = (3.75 x 10^2 x (0.033)^2) / (9.0 x 10^9) = 0.04537 x 10^-9 C = 4.54 x 10^-11 C (Answer)
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