Question 13 chapter 24 A particle withcharge Q = 5.50 µCis located at the center

Question

Question 13 chapter 24 A particle withcharge Q = 5.50 µCis located at the center of a cube ofedge L = 0.120 m. In addition, six other identicalcharged particles having q = -1.5 µC are positioned symmetricallyaround Q as shown in the figure below. Determinethe electric flux through one face of the cube.
I don't understand where the numbers come from in the equationin the answer.
Any Help? Thank you

A particle withcharge Q = 5.50 µCis located at the center of a cube ofedge L = 0.120 m. In addition, six other identicalcharged particles having q = -1.5 µC are positioned symmetricallyaround Q as shown in the figure below. Determinethe electric flux through one face of the cube.
I don't understand where the numbers come from in the equationin the answer.
Any Help? Thank you

Explanation / Answer

The total charge enclosed by the cube Q/ = Q+ 6q    Q = 5.50 C ,    q = -1.5C and Q/ = -1C = -1 * 106 C Now the total electric flux enclosed by the entire cubeis = Q/ / o      = ( -1.5*106 ) ( 8.9 *109 ) 4     = -------- Nm2/C The flux through one surface of the cube = / 6 =-------- N m2/C Solve it      = ( -1.5*106 ) ( 8.9 *109 ) 4     = -------- Nm2/C The flux through one surface of the cube = / 6 =-------- N m2/C Solve it

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