Question

A disk of radius \(a/4\) having a uniformly distributed charge \(6\,\text{C}\) is placed in the x-y plane with its centre at \((-a/2, 0, 0)\). A rod of length \(a\) carrying a uniformly distributed charge \(8\,\text{C}\) is placed on the x-axis from \(x = a/4\) to \(x = 5a/4\). Two point charges \(-7\,\text{C}\) and \(3\,\text{C}\) are placed at \((a/4, -a/4, 0)\) and \((-3a/4, 3a/4, 0)\) respectively. Consider a cubical surface formed by six surfaces \(x = \pm a/2\), \(y = \pm a/2\), \(z = \pm a/2\). The electric flux through this cubical surface is

• A. \(-\dfrac{2C}{\varepsilon_0}\)
• B. \(\dfrac{2C}{\varepsilon_0}\)
• C. \(\dfrac{10C}{\varepsilon_0}\)
• D. (12C)/(varepsilon₀)

Hint:

Electric flux through a closed surface depends only on the total enclosed charge, not on its distribution.

Answer 1

The Correct Option is A