8/20/2019 Gaus theorem Question and answers 1
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1) A charged point particle is placed at the center of a sphericalGaussian surface. The electric ux ϴx is changed if:
A the sphere is replaced by a cube of the same volume the sphere is replaced by a cube of one!tenth the volume" the point charge is moved o# center $but still inside the original
sphere)% the point charge is moved to &ust outside the sphere '( a second point charge is placed &ust outside the sphere
) A point particle *ith charge + is placed inside the cube but notat its center. The electric ux through any one side of the cube:
A is ,ero isq
∈
" isq
4∈ % isq
6∈
( cannot be computed using Gauss la* '
-) A conducting sphere of radius .1m has a charge of 1/1!0"
deposited on t . The magnitude of the electric 2eld in N
C &ust
inside the surface of the sphere is
A ' 34" 0 % 34 ( 05
3) "harge is distributed uniformly along a long straight *ire. Theelectric 2eld cm from the *ire is 6"!1 . The electric 2eld 3cmfrom the *ire is:
A 1 6"!1 7 6"!1
" 3 6"!1 % 1 6"!1 ' ( 4 6"!1
4) 8ositive charge 9 is placed on a conducting spherical shell *ithinner radius and outer radius . A particle *ith charge + isplaced at the center of the cavity. The magnitude of the electric2eld at a point in the cavity; a distance r from the center; is:
A ,ero Q
4 π ∈ R2
8/20/2019 Gaus theorem Question and answers 1
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"q
4 π ∈r2 ' %
q+Q
4 π ∈r2 (
R
4 π ∈(¿¿2−r 2)q+Q¿
Ans*ers < '
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