Two point charges 8 and ?2 are located at = 2 cm and = 4 cm, respectively on the -axis. The ratio of electric flux due to these

Question

Two point charges 8 $μC$ and −2 $μC$ are located at $x$ = 2 cm and $x$ = 4 cm, respectively on the $x$ -axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is ______. [2026]

Smart Achievers · Accepted Answer

(3)

$For sphere with radius 3 cm and center at origin$

$ϕ_{1} = \frac{q_{en}}{ε_{0}} = \frac{8 μ C}{ε_{0}}$

$for sphere of radius 5 cm$

$ϕ_{2} = \frac{q_{en}}{ε_{0}} = \frac{(8 - 2) μ C}{ε_{0}} = \frac{6 μ C}{ε_{0}}$

$\frac{ϕ_{1}}{ϕ_{2}} = \frac{8}{6} = \frac{4}{3} = 1.33$

$\frac{ϕ_{1}}{ϕ_{2}} = 1.33$

Solution

Q.
Two point charges 8 $μC$ and −2 $μC$ are located at $x$ = 2 cm and $x$ = 4 cm, respectively on the $x$ -axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is ______. [2026]

1 4 : 1

2 3 : 4

3 4 : 3

4 4 : 5

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