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GUJCET · Physics · Electric Charges and Fields
If charge \(q\) is placed on one of the vertex of a cube. Then flux passing through any one surface of cube is ________.
- A \(\frac{q}{\varepsilon_0}\)
- B \(\frac{q}{\sigma \varepsilon_0}\)
- C \(\frac{q}{24 \varepsilon_0}\)
- D None of these
Answer & Solution
Correct Answer
(C) \(\frac{q}{24 \varepsilon_0}\)
Step-by-step Solution
Detailed explanation
(C)
We require 8 cube to bring charge at the centre of the big cube.
so the flux associated with each cube \(=\frac{q}{8 \varepsilon_0}\)
but each cube shares 3 sides with other so net flux will be \(=\frac{q}{3 \times 8 \varepsilon_0}\) \(=\frac{q}{24 \varepsilon_0}\)
We require 8 cube to bring charge at the centre of the big cube.
so the flux associated with each cube \(=\frac{q}{8 \varepsilon_0}\)
but each cube shares 3 sides with other so net flux will be \(=\frac{q}{3 \times 8 \varepsilon_0}\) \(=\frac{q}{24 \varepsilon_0}\)
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