A rod containing charge +Q is brought near an initially uncharged isolated conducting rod as shown. Regions with total surface charge +Q and -Q are induced in the conductor as shown in the figure. The only regions where the net charge in this configuration is non-zero are indicated by the "+" and "-" signs. Let us denote the total flux of electric field outward through closed surface S1 as φ1, through S2 as φ2, etc. Which of the following is necessarily false.

Question

A rod containing charge +Q is brought near an initially uncharged isolated conducting rod as shown. Regions with total surface charge +Q and -Q are induced in the conductor as shown in the figure. The only regions where the net charge in this configuration is non-zero are indicated by the "+" and "-" signs. Let us denote the total flux of electric field outward through closed surface S1 as φ1, through S2 as φ2, etc. Which of the following is necessarily false. (A) φ1>0 (B) φ2=φ1 (C) φ3=φ1 (D) φ4=0

Tardigrade Admin · Accepted Answer

Use gauss theorem φ=( q text enclosed /ϵ0)= Number of electric field lines

$ϕ_{1} > 0$

$ϕ_{2} = ϕ_{1}$

$ϕ_{3} = ϕ_{1}$

$ϕ_{4} = 0$

Use gauss theorem $ϕ = \frac{q _{enclosed}}{ϵ _{0}} =$ Number of electric field lines

ϕ1​>0

ϕ2​=ϕ1​

ϕ3​=ϕ1​

ϕ4​=0

Use gauss theorem ϕ=ϵ0​qenclosed ​​= Number of electric field lines

$ϕ_{1} > 0$

$ϕ_{2} = ϕ_{1}$

$ϕ_{3} = ϕ_{1}$

$ϕ_{4} = 0$

Use gauss theorem $ϕ = \frac{q _{enclosed}}{ϵ _{0}} =$ Number of electric field lines