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PHY 102 Test Compilation PHY 102 20 Objective Question

Question

Two charges q = 15 uC and q1 = 17 uC are within a spherical surface of radius 20 cm. Calculate the total flux through the surface (eps0 = 8.85x10-12 C2 N-1 m-2).
Options
A 3.62 x 10-6 N.m2/C
B 3.62 x 106 N.m2/C
Correct Answer
C 3.62 x 10-6 N.m2/C (dup)
D 3.62 x 106 N.m2/C (dup)
Correct Answer

Option B is the correct answer.

Detailed Explanation

By Gauss's Law, total flux depends only on the TOTAL enclosed charge, not on the sphere's radius: Phi = Q_enclosed / eps0 = (15+17)x10-6 / 8.85x10-12 = 32x10-6 / 8.85x10-12 = 3.62 x 106 N.m2/C. Note: the radius (20 cm) is irrelevant information - Gauss's law flux is independent of the shape/size of the enclosing surface.

Hint

By Gauss's Law, total flux depends only on the TOTAL enclosed charge, not on the sphere's radius: Phi = Q_enclosed / eps0 = (15+17)x10-6 / 8.85x10-12 = 32x10...

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