Electrostatics Question 2

Question 2 - 2024 (01 Feb Shift 2)

$C _1$ and $C _2$ are two hollow concentric cubes enclosing charges $2 Q$ and $3 Q$ respectively as shown in figure. The ratio of electric flux passing through $C _1$ and $C _2$ is:

(1) $2: 5$

(2) $5: 2$

(3) $2: 3$

(4) $3: 2$

Show Answer

Answer: (1)

$\phi _{\text {smaller cube }}=\frac{2 Q}{\epsilon _0}$

$\phi _{\text {bigger cube }}=\frac{5 Q}{\epsilon _0}$

$\frac{\phi _{\text {smaller cube }}}{\phi _{\text {bigger cube }}}=\frac{2}{5}$