Question

The total electric flux from a cubical box 26.0 cm on a side is 1840 N m2/C. What charge is enclosed by the box?

Answer 1

The expression of the electric flux is

$\Phi = \frac{Q}{\epsilon_0}$

Here,

Q = Total charge enclosed in the closed surface

$\epsilon_0$ = Permittivity due to free space

Rearranging to find the charge,

$Q = \epsilon_0 \Phi$

Replacing with our values we have finally

$Q = (8.85*10^{-12}F\cdot m^{-1})(1.84*10^3 N\cdot m^2/C)$

$Q = 1.6284*10^{-8} C$ $(\frac{10^9nC}{1C})$

$Q = 0.1684nC$

The charge enclosed by the box is 0.1684nC

The sign of the charge can be decided by using the direction of the flux. The charge enclosed by the cube can be calculated by using the electric flux and the permitivity of free space.

Answer 2

The total electric flux from a cubical box 26.0 cm and total charge is enclosed by the box is 16.26μc

Electric flux and electric charge:

What information do we have?

Electric flux from a cubical box = 1840 N m2/C

Charge in enclosed by the box = ∫E.dA

q = (1.84 × 10³)ξ₀

q = (1.84 × 10³)(8.84 × 10⁻¹²)

q = 16.26μc

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