A sphere encloses an electric dipole with charges ±3 × 10−6 C. What is the total electric flux across the sphere ?

  1. 3 × 10−6 Nm2/C
  2. 6 × 10−6 Nm2/C
  3. −3 × 10−6 Nm2/C
  4. Zero

Answer (Detailed Solution Below)

Option 4 : Zero
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Detailed Solution

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CONCEPT:

The electric flux is written as;

ϕ = E.A

Here we have E as the electric field and A is the area.

and Electric field is written as;

\(\vec E = \frac{1} {4\pi \epsilon_o}\frac{ Q}{r^2}\)

Here Q is the charge, and r is the distance.

CALCULATION:

Here we are given that the sphere encloses an electric dipole with charges. 

When the sphere is enclosed the electric flux coming outside and the electric field outside the sphere or electric flux outside the sphere is zero.

Hence, the total electric flux across the sphere is zero.

Hence option 4) is the correct answer.

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