The electric flux linked with the closed surface in $\mathrm{Nm}^2 \mathrm{C}^{-1}$ is…

The electric flux linked with the closed surface in $\mathrm{Nm}^2 \mathrm{C}^{-1}$ is $\left(\varepsilon_0=8.85 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}\right)$
  1. $10^{12}$
  2. $8.85 \times 10^{-13}$
  3. $10^{10}$
  4. $10^{11}$

Solution

Electric flux, $\phi=\frac{q}{\varepsilon_0}$ where $q=$ total charge enclosed by closed surface $q=(2.35+5+2-0.5) C$ $q=(2.35+5+2-0.5) \mathrm{C}$ $\phi=\frac{q}{\varepsilon_0}=\frac{8.85 \mathrm{C}}{8.85 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}}=10^{12} \mathrm{Nm}^2 / \mathrm{C}$

Asked in: MHT CET 2022 (06 Aug Shift 1)

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