Two small balls with charges q_1 = 8.1 mu C and q = -17.2 mu C are separated by

Question

Two small balls with charges q_1 = 8.1 mu C and q = -17.2 mu C are separated by a distance d = 5.0 cm. Calculate the electric flux passing through the following three surfaces: A spherical surface of radius 1.5 cm centered on the first charge. Numeric: A numeric value is expected and not an expression. Phi_1 = ___ A spherical surface of radius 11 cm centered on the second charge. Numeric: A numeric value is expected and not an expression. Phi_2 = ___ A spherical surface or radius 1.9 cm centered at the midpoint of a line connecting them. Numeric: A numeric value is expected and not an expression Phi_3 = ___

Explanation / Answer

since

Flux = charge enclosed/ epsilon

a)

here charge enclosed is q1

so

flux = q1/epsilon

Flux = 915254.23 Nm^2/C ( answer)

b)

here charge enclosed is q1 and q2

so

Flux = q1+q2/epsilon

Flux = -1028248.588 Nm^2/C

c)

here charge enclosed is zero

so

Flux = zero

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