Question:

The inward and outward electric flux from a closed surface are respectively $8\times 10^3$ and $4\times 10^3$ unit. Then the net charge inside the closed surface is

Updated On: Feb 23, 2024
  • $\frac{-4\times 10^3}{\varepsilon_0}$ coulomb
  • $-4\times10^3\,\varepsilon_0$ coulomb
  • $-4\times10^3$ coulomb
  • $4\times10^3$ coulomb
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The Correct Option is B

Solution and Explanation

Flux = $\frac{q}{\varepsilon_0} \, i.e.\, q = \varepsilon_0 \times $ flux = $\varepsilon_0 $ (8 - 4) 10$^3$ = 4 $\times 10^3 \, \varepsilon_0$
Net charge inside the surface = - 4 $\times 10^3 \, \varepsilon_0$
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Concepts Used:

Electric Field

Electric Field is the electric force experienced by a unit charge. 

The electric force is calculated using the coulomb's law, whose formula is:

\(F=k\dfrac{|q_{1}q_{2}|}{r^{2}}\)

While substituting q2 as 1, electric field becomes:

 \(E=k\dfrac{|q_{1}|}{r^{2}}\)

SI unit of Electric Field is V/m (Volt per meter).