A regular dodecahedron has 12 faces, each face is a regular pentagon. If a charg

Question

A regular dodecahedron has 12 faces, each face is a regular pentagon. If a charge +Q lies at the exact geometric center of the dodecahedron, what is the Electric flux out of one single pentagonal face? A) +(12/5)(Q/epsilon_0) B) +(5/12)(Q/epsilon_0) C) +(1/12)(Q/epsilon_0) D) +(1/5)(Q/epsilon_0) E) +(1/60)(Q/epsilon_0) F) +(Q/epsilon_0) The diagrams below show three circuits with identical batteries, identical inductors and identical resistors. Rank them according to the current through the battery just as the switch is closed, from greatest to least. A) 2, 3, 1 B) 1, 2, 3 C) 3, 2, 1 D) 2 and 3 tie, then 1 E) 1, 3, 2 Two wires are parallel for a length of 3.0 meters, separated by a distance of 1.0[cm]. Wire #1 flow 5.0[A] of current, and wire #2 flows 1.0[A] in the direction indicated. What is the direction and magnitude of the force that wire #1 feels from wire #2?

Explanation / Answer

here,

8)

the charge enclosed in the dodecahedron is Q

using Gauss's law

the electric flux through the dodecahedron , phi = Q/e0

the flux through one pentagonal face , phi'= phi /12

phi' = (5/12) * Q/e0

the correct option is B) (5/12) (Q/e0)

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