COMEDK2017PhysicsElectrostatics
The electric flux for Gaussian surface A that enclose the charged particles in free space is (Given, q₁=-14 nC , q₂=78.85 nC , q₃=-56 nC )
Options
- A10³ ~N - m ² C ⁻¹
- B10³ CN ⁻¹ ~m ⁻²
- C6.32 10³ ~N - m ² C ⁻¹
- D6.32 10³ CN ⁻¹ ~m ⁻²
Correct answer
B. 10³ CN ⁻¹ ~m ⁻²
Step-by-step solution
Given, aligned &q₁=-14 nC =-14 10⁻⁹ C &q₂=78.85 nC =78.85 10⁻⁹ C &q₃=-56 nC =-56 10⁻⁹ C aligned According to Gauss's law Net electric flux passing through closed surface A , aligned _ A &= 1 ₀ ( total charged enclosed by closed surface A) &= 1 ₀ (q₁+q₂+q₃ ) aligned aligned &= -14 10⁻⁹+78.85 10⁻⁹-56 10⁻⁹ 8.85 10⁻¹² &= 8.85 8.85 10⁻⁹⁺¹²=10³ CN ⁻¹ ~m ⁻² aligned