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 < '