The following charges are located inside a metallic container on unknown shape: 5.00 μC, -4.60 μC, 67.0 μC, and -50.0 μC. Calculate the net electric flux, in Nm2/C, through the container
add the charges. then the algebratic sum is the effective charge.
Net effective Flux is
FLux= qtotal/epsilon = epsilon*E*area
To calculate the net electric flux through the container, we need to use Gauss's Law. Gauss's Law states that the net electric flux through a closed surface is equal to the electric charge enclosed divided by the permittivity of free space (ε₀).
The formula for calculating electric flux (Φ) is:
Φ = Q_enclosed / ε₀
Where Q_enclosed is the net charge enclosed by the closed surface, and ε₀ is the permittivity of free space which is approximately 8.85 x 10⁻¹² Nm²/C².
In this case, we have four charges located inside the metallic container. The net charge enclosed (Q_enclosed) is equal to the sum of these charges:
Q_enclosed = 5.00 μC + (-4.60 μC) + 67.0 μC + (-50.0 μC)
Note that the negative charges should be subtracted.
Now we can substitute the values into the formula and calculate the net electric flux:
Φ = (Q_enclosed) / ε₀
Let's compute the value of Q_enclosed first:
Q_enclosed = (5.00 x 10⁻⁶ C) + (-4.60 x 10⁻⁶ C) + (67.0 x 10⁻⁶ C) + (-50.0 x 10⁻⁶ C)
Q_enclosed = 17.4 x 10⁻⁶ C
Now we can substitute the value of Q_enclosed into the formula and solve for net electric flux (Φ):
Φ = (17.4 x 10⁻⁶ C) / (8.85 x 10⁻¹² Nm²/C²)
Φ = 1.96 x 10⁶ Nm²/C
Therefore, the net electric flux through the container is 1.96 x 10⁶ Nm²/C.