Question

What is the relation between charges q1 q2 q3 if the electric flux through surface s2 is 8 times of that through surface s1
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Answer 1

Answer:

Q1 is the "middle" value in the first half of the rank-ordered data set. Q2 is the median value in the set. Q3 is the "middle" value in the second half of the rank-ordered data set.

Answer 2

Answer:

The relation between charges q₁, q₂, and q₃ is q₃ = 8q₁ + 8q₂

Explanation:

Assumption,

Let the net flux through the surface s₁ be Ф₁

Let the net flux through the surface s₂ be Ф₂.

Given,

The flux through surface s₂ is 8 times that of flux through s₁.

i.e. Ф₂ = 8 × Ф₁

To find,

The relation between the charges q₁, q₂, and q₃.

Concept,

The net electric flux through a body is given by the ratio of the total charge enclosed in it to the permittivity of free space.

Ф = $q_{enc}$/$\epsilon_0$

Calculation,

The charge enclosed in surface s₁ is q₁ + q₂

Hence, the flux Ф₁ is:

Ф₁ = (q₁ + q₂)/$\epsilon_0$

The charge enclosed in surface s₂ is q₃

Hence, the flux Ф₂ is

Ф₂ = q₃/$\epsilon_0$

From equation (1)

q₃/$\epsilon_0$ = 8 × (q₁ + q₂)/$\epsilon_0$

⇒ q₃ = 8q₁ + 8q₂

Therefore, the relation between charges q₁, q₂, and q₃ is q₃ = 8q₁ + 8q₂.

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