A sphere S1 of radius R, encloses a total charge q. If there is another concentric sphere S 2 of radius 2 R and there be no additional charges between S1 and S 2 . What is the ratio of electric flux through S 1 and S 2 ?

Question

A sphere S1 of radius R, encloses a total charge q. If there is another concentric sphere S 2 of radius 2 R and there be no additional charges between S1 and S 2 . What is the ratio of electric flux through S 1 and S 2 ? (A) 1.5 (B) 2 (C) 1 (D) 0.5

Tardigrade Admin · Accepted Answer

φ=(q/ε0) So, (φ1/φ2)=(q1/ε0) × (ε0/q2) =(q1/q2) (φ1/φ2)=(q/q)=1

Q. A sphere $S_{1}$ of radius $R$ , encloses a total charge $q$ . If there is another concentric sphere $S_{2}$ of radius $2 R$ and there be no additional charges between $S_{1}$ and $S_{2} .$ What is the ratio of electric flux through $S_{1}$ and $S_{2} ?$

1.5

2

1

0.5

$ϕ = \frac{q}{ε _{0}}$
So,
$\frac{ϕ _{1}}{ϕ _{2}} = \frac{q _{1}}{ε _{0}} \times \frac{ε _{0}}{q _{2}}$
$= \frac{q _{1}}{q _{2}}$
$\frac{ϕ _{1}}{ϕ _{2}} = \frac{q}{q} = 1$

Q. A sphere S1​ of radius R, encloses a total charge q. If there is another concentric sphere S2​ of radius 2R and there be no additional charges between S1​ and S2​. What is the ratio of electric flux through S1​ and S2​?

1.5

2

1

0.5

ϕ=ε0​q​ So, ϕ2​ϕ1​​=ε0​q1​​×q2​ε0​​ =q2​q1​​ ϕ2​ϕ1​​=qq​=1

Q. A sphere $S_{1}$ of radius $R$ , encloses a total charge $q$ . If there is another concentric sphere $S_{2}$ of radius $2 R$ and there be no additional charges between $S_{1}$ and $S_{2} .$ What is the ratio of electric flux through $S_{1}$ and $S_{2} ?$

$ϕ = \frac{q}{ε _{0}}$
So,
$\frac{ϕ _{1}}{ϕ _{2}} = \frac{q _{1}}{ε _{0}} \times \frac{ε _{0}}{q _{2}}$
$= \frac{q _{1}}{q _{2}}$
$\frac{ϕ _{1}}{ϕ _{2}} = \frac{q}{q} = 1$