Electric Charges and Fields — Physics STD 12 Science — Question
Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsElectric Charges and Fields1 Mark
Question
An arbitrary surface encloses a dipole. What is the electric flux through this surface?
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Answer
Zero.According to Gauss, law, the electric flux through an enclosed surface is given by $\oint_\text{s}\overrightarrow{\text{E}}.\text{d}\overrightarrow{\text{S}}=\frac{\text{q}_\text{enclosed}}{\epsilon_0}$
The net charge on a dipole is given by $-q + q = 0$, hence $q_{ enclosed} = 0$
Hence the electric flux through a surface enclosing dipole $=\frac{\text{-q}+\text{q}}{\epsilon_0}=\frac{\text{q}}{\epsilon_0}=0.$
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