JIPMER 2010
- Exam
- JIPMER
- Year
- 2010
- Subject
- Physics
- Chapter
- Electrostatics
JIPMER 2010 · Physics · Electrostatics
A charge q is located at the centre of a cube. The electric flux...
A charge is located at the centre of a cube. The electric flux through any face is
Options
- A\frac{4 \pi q}{6\left(4 \pi \varepsilon_0\right)}
- B\frac{\pi q}{6\left(4 \pi \varepsilon_0\right)}
- C\frac{q}{6\left(4 \pi \varepsilon_0\right)}
- D\frac{2 \pi q}{6\left(4 \pi \varepsilon_0\right)}
Correct answer
A. \frac{4 \pi q}{6\left(4 \pi \varepsilon_0\right)}
Step-by-step solution
According to Gauss's theorem, electric flux through the cube (closed surface),
Since, cube has six surfaces and all the faces are symmetrical, therefore electric flux through any face
\phi^{\prime}=\frac{q}{6 \varepsilon_0}=\frac{4 \pi q}{6\left(4 \pi \varepsilon_0\right)}