Question

The flux entering and leaving a closed surface are 5 x105 and 4 x105MKS units
respectively then calculate charge inside the surface?

Answer 1

Answer:

-77+(-78) +94+8+(-37) +(-75)

Explanation:

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Answer 2

Answer: 8.85 × 10⁻⁷ coulombs of charge is enclosed inside the surface.

Explanation:

Flux leaving the surface = 5 × 10⁵ Vm

Flux entering the surface = 4 × 10⁵ Vm

Net flux leaving the surface = Flux leaving - Flux entering

Net flux leaving the surface =  5 × 10⁵ - 4 × 10⁵  Vm

Net flux leaving the surface =  10⁵ Vm

According to the gauss law, net flux leaving a surface is equal to charge enclosed by the surface divided by ∈₀.

$\int\ {E.ds} = \frac{q_e_n}{\epsilon_o}$

Flux = $\int\ {E.ds} = \frac{q_e_n}{\epsilon_o}$

⇒ Charge enclosed = Flux × ∈₀

⇒ Charge enclosed =  10⁵ × (8.85 × 10⁻¹²)  C

⇒ Charge enclosed =  8.85 × 10⁻⁷ coulombs

Gauss law is commonly used for finding out electric fields and value of charges.

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