To calculate the electric flux (\(Φ\)):
\[ Φ = E \cdot A \cdot \cos(θ) \]
Where:
A Gaussian surface is an imaginary closed surface used in Gauss’s law to calculate the flux of an electric field. The surface is chosen to exploit the symmetry of the physical situation, making the calculation of the electric field easier. Gauss’s law states that the total electric flux through a closed surface is equal to the charge enclosed divided by the permittivity of free space. Gaussian surfaces are commonly used in electrostatics to simplify the calculation of electric fields around charged objects.
Let's assume the following values:
Using the formula:
\[ Φ = 100 \cdot 2 \cdot \cos(30°) = 100 \cdot 2 \cdot \frac{\sqrt{3}}{2} = 100 \cdot \sqrt{3} \approx 173.21 \text{ units} \]
The electric flux is approximately 173.21 units.
Let's assume the following values:
Using the formula:
\[ Φ = 50 \cdot 3 \cdot \cos(45°) = 50 \cdot 3 \cdot \frac{\sqrt{2}}{2} = 75 \cdot \frac{\sqrt{2}}{2} \approx 53.03 \text{ units} \]
The electric flux is approximately 53.03 units.
