1)
According to Gauss law the electric flux is given by
phi = Qin / epsilon not
phi = 5 * 10^-6 / 8.854 * 10^-12
for each face
phi = 1/6 * 5 * 10^-6 / (8.854 * 10^-12)
phi = 9.4 * 10^4 N-m^2/C
3)
a)
E = sigma / 2*epsilonnot
9.5 * 10^4 = sigma / (2*8.854*10^-12)
sigma = 1.68 *10^-6 C
upper face sigma = 1.68 *10^-6 C
lower face sigma = 1.68 *10^-6 C
b)
charge Q = sigma * A
Q = 1.68 *10^-6 * 0.31^2
Q = 0.16 * 10^-6 C
upper face Q = + 0.16 * 10^-6 C
lower face Q = - 0.16 * 10^-6 C
4)
a) at 5 cm E = 0 ( because no charge is present in side
b)
E = k * Q / r^2
E = 9 * 10^9 * 57 * 10^-6 / 0.44^2
E = 2649793.3 N/c
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